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8/17/2019 300 KHz-30 MHz MF_HF(Goldberg1966)
1/18
IEEE TRANSACTIONS
O N
COMMUNICATION TECHNOLOGY VOL. COM-14,
N O .
6 DECEMBER 1966
In addition to the device reliability considerations, an
environmental study was made to verify that the system
could withstand shipping, storage, andoperating condi-
tions on the customer's premises. Laboratory tests which
included temperature shock, high relative humidity, and
vibrationwereused tostimulate he expectedenviron-
mental extremes to which the equipment would be sub-
jected in actual use. As a result of these tests minor design
modifications were incorporatedprior to initial production.
The majorityof equipment malfunctions a,re expected to
be repairable by merelynterchangingprintedwiring
boards. Trouble shooting
of
common circuitry consists of
the analysis of symptoms to narrow the troubledown to a
small number of possible circuit packs, and then the re-
placement of theseone at a imeuntil he defective
board is located. Troubles on traffic circuits, such as reg-
isters and centraloffice trunks, can be isolated by a feature
which enables a repairman to route test calls to specific
circuits. To facilitate testing, t,he built-in test equipment,
fuses, and alarms are located at the front of the cabinet ,
at eye level.
CONCLUSION
The 800A
PBX
was introduced into commercial service
in August 1966. Operational experience with he system
has been very good.
300
kHz-30
MHz MF/HF
Abstract-A
tutorial presentation is made in broad and general
terms regarding the properties of the
MF
and HF portions of the
radio spectrum as they pertain to and affect communication systems.
The fine grain behavior in terms of amplitude and phase variations
are presented in conjunction with the effects of fading periods, t ime
and frequency spread, and atmospheric noise.
A
discussion of both
theoretical and experimental bounds in error rate levels of digital
systemsas a function
of
the basic attributes of the ionospheric
channel is undertaken in connection with the adaptive approach to
communication system design. Two adaptive systems are described
briefly in terms of their ability to cope with the time variant dis-
persive ionospheric channel.
T
E PURPOSE of this paper will be to serve as
a
broad tutorial coverage of the elements and factors
employed for characterizinghe arious channels, as
segmented assignments, in he frequency spectrum extend-
ing from 300 kHz to 30 MHz. In th is connection, some of
the propert ies f significance such as the temporal behavior
in termsof signal levels and noise, channel transfer proper-
ties, interference, fine grain behavior, and system perform-
ance as exemplified by both theory and experimental data,
will be covered.
Liberal usewill be made of materia l already in the open
literature, material available to USAEL through their var-
ious contracts with industry andniversities, and data and
informationgeneratedasa result of USAEL'sown in-
houseprograms.
Although a good portion of the mater ial to be covered
will not be new to workers in this field, it is considered
Paper 19CP65-482 presented
at
the 1965
IEEE
Communications
Manuscript received March 28, 1966; revised August
I,
1966.
Convention, Boulder, Colo.
Thenthor is withhe Communications/ADP Laboratory,
U.S.
Army Electronics Command, Fort
R'lonmouth, N. J.
appropriate that it stillbe presented for the edification of
those people desiring to understand this area of activity
and for the sake of completeness.
In order to do justice to the broad spectrumovered by
this paper, it will be necessary to break apart the 0.3-30
nilHz frequency slot into four categories and then discuss
three of these categories (the medium frequencies) in
a
limited way while reserving the bulk of the discussion to
the 4th category 3.0-30 MH z (the high frequencies).
The so-called medium requency (MF) spectrum ex-
tending from 0.3 to 3
Hz
for the purpose of this presenta-
tion,as uststated, will bedivided into hreedistinct
regions approximated by region A00-550, kHz, region
B,
550-1650 kHz and region C, 1650 to 3000 kHz. Region A,
employing
CW
transmission almost exclusively, generally
is utilized for navigational purposes, for mobile, aero-
nautical and ship communications, for emergency survival
communications, and for time and frequency synchroniza-
tion. Region
B
is employed for standard broadcast service
and region C
is
and may be utilized for fixed and mobile,
land, maritime and aeronautical navigation, and commu-
nication purposes.
In
these three regions most of the useful distant field
energy is propagatedby heground
or
surfacewave.
The sky wavegenerally presents a sourceof trouble, how-
ever, it is occasionally utilized as the primarymode, espe-
cially for region C.
As far as the surface wave support is concerned, which
can be viewed as due toan earth-atmosphere wave guide,
the signal strength is reasonably well behaved. Generally t
follows an inverse distance law with the value of signal
strength being
a
function of the polarization, operating
frequency,and hegroundconductivityand dielectric
767
8/17/2019 300 KHz-30 MHz MF_HF(Goldberg1966)
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765 I E E E TRANSACTIONS O N C O M M U N I C A I lO NE C H N O L O G YE C E M B E R
constant along the pathof propagation. In this regard, sea
water (conductivity4 X lo- EMU, ielectric constant80
ESU , rovides the pathwith the least attenuation. Aoor
earth , hat is, earthwith low conductivi.ty
EMU
and low dielectric constant
3-5 ESU
ields a path with
relativelyhigh ttenuation.There is littlediurnal or
annual variation in the ground wave characteristic.
In region A, under good conditions, ground wave propa-
gation can reach 000miles with only40 dB more loss than
that due to the inverse distance loss. Theoretical work of
significance in this area has been performed by Sommerfeld,
Morton,vanderPolandBrenner,Watson,andWait.
Sky wave propagation for this groupf frequencies exhibits
properties which are dependent upon he stateof the iono-
sphere with signals experiencing, change in level by a fac-
to r of from 2 to 5 as a function of sun spot activity. The
existence of the sky wave gives rise to fading and inter-
ference effects t locations where110th the groundwave and
sky wave are received. This interference effect tends to
tak e place with maximum severity at distances of a few
hundred miles from the transmitterwhere both theground
wave and the skywave are of equal strength.
I n general, sky wave signals experience diurnaland sea-
sonal variations superimposed upon the variations due to
the sun spot cycle. Fortunately, during the daylight hours
there is high absorption in the :D region, hence, the sky
wave tends to be aroblem only during nighttime whenhe
D layer disappears. The impact
o:i
ionospheric propagation
on medium frequencies and high frequencies (HF) will be
covered in the detailed discussion of the frequency region
from 3-30 MHz.
Some pertinent properties of sky wave transmission at
MF, however, are best cited at this time. The envelope of
the received signal n the majority.f cases tends to ollow
a
Rician distribution which could be viewed as the combina-
tion of a Rayleigh distribution and a specular component.
The fade rate is roughly 0.01 per second mplying ong
fades. Equally rough estimates of the correlation distance
forspaced antennas ndicates thatabout 20 km is re-
quired for decorrelation t o a value 1 / ~ .
As already tated for the lvIF region, theground
waves enerally the mostlnportant primarily be-
cause the energy is reasonably constant (nonfading) and
appears compacted as a specular ray. It is interesting to
note thatbecause of this specular nonfading characteristic,
diversity reception would not enhance system reliability
unless it could opera te on theresence of uncorrelated noise
or interfence. In the ower frequelncy portions of this spec-
trum limitationsdevelop n erms of antenna efficiency
with values of
10
percent being considered good and with
a communication bandwidth capa,bility n the ange
100
to
500 cycles being typical. Unfortunately, for this portion f
the radio spectrum (region A) atmospheric noise is quite
high being roughly about two ord ers of magnitude greater
tha n he level n the high requency 3-30 MHzband.
I n general, communications reliability in this region tends
to
be
limited by this noise factor which is further aggra-
vated by the ever present and generally increasing man-
made noise background rather than variationsn the signal
support mechanism.
Designs of communication systems in this region of the
spectrum are basically easily established in terms of rea-
sonably well behaved and understood factors.The additive
disturbances, characteristicsof applicable antenna systems,
transmission path loss, etc. are comfortably taken nto
account.
In general, RegionA tends to be elatively free from he
effects of sudden onosphericdisturbances which would
affect the signal support mechanism and is considered a
relatively reliable portion of the radio spectrum n his
regard. Both hephaseandamplitude of groundwave
signals tend to be of high stability. In th epresence of sky
wave there s a phase lagf 1-2 Hz representing he dirunal
variations of ionosphere layer heights.
Region B, the broadcast band, is known to all of us in
terms of the local range of coverage of the various broad-
cast stations. For the enter tainmentpurpose it is intended
to satisfy, there is relatively little one can complain about
(excluding program material) except during thunderstorm
activity or nighttime. This portionof the spectrum can be
considered as well disciplined and stat ic with its se deter-
mined by very rigid control. In this portion of the band,
exceptor nomalouspropagationbehavior and local
lightning activity, reception conditions are quite adequate.
The mode of modulation universally employed, using voice
or
music signals, is double sideband amplitude modulation.
Some activi ty is underway
t o
try to employ compatible
single sideband or this service. Generally, noisy signalse-
come a problem only near the service range fringes where
although intelligibility may still be igh, esthetic apprecia-
tion factors are quiteow. This port ion of the band has its
problems at nighttime when he high absorption properties
of the D layer are no longer available to reduce the un-
desired sky wave suppor t. It has been common experience,
especially while travelingn an utomobile, to hear stat ions
from distant points,
1000
miles or more, with clarity and
strength that at timesxceed the local station one hadeen
tuned to.
I n this portion of th e spectrum, information bandwidths
of
5
kHz are generally employed with some stations re-
ceiving authority for
10
kHz nformationbandwidths.
Most assignments in this frequency band are on aegional
basis with joint sharing f frequency coupled with reliance
on geographical separation for noninterference. t is neces-
sary a t nighttime
for
some stations to educe their radiated
power or even go off the air in order t o minimize the possi-
bility of theircreating nterference to a distant station
when undesired sky wave support would be prevalent.
The last region in the medium frequency range, region
C, basically employs groundor surface wave for itsropa-
gation support but s more seriously troubled by the pres-
ence, in most instances,of undesired sky wave propagation.
This portion of the spectrum is highly crowded as is the
entire range 0.3-30 MHz. Although t he atmospheric noise
level is lower in region C than at the region A portion of
medium requency ange, the groundwavedistance at
8/17/2019 300 KHz-30 MHz MF_HF(Goldberg1966)
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1966 G O L D B E R G : MF/HF CO M M UNICATIO N SYSTEMS
acceptable a ttenuation levels is much shorter.
Generally, this region is used forcommunication dis-
tances of up to
100
to
175
miles. This frequency region
however is subjected to the effects of ionospheric disturb-
ances. Basically, thisportion of the spectrum is quite
stable n the daytime when the
D
layer s available to
attenuate thehigh angle radiation. At nighttime, however,
the level of interference due to sky wave support from
distant stations makes the situation in this portionof the
band something less than desirable. Largedirective an-
tenna arrays are mployed by marine operators inrder to
enhance reliability for communication. A large percentage
of the traffic carried in this region is amplitude modulated
3
kHz voice signals with possibly the inherent redundancy
in unprocessed speech making this segment of the spec-
trum useful a t night. This easonably stable segmentof the
M F
band is also employed for Loran purposes; however,
diurnalvariations nphaseandamplitude of received
signals are evident.
IONOSPHERICEFLECTION
Throughout thispreceding material i t has been indicated
that skywave upport epresents an undesirable phe-
nomenon. In th ematerial to ollow, which in essence repre-
sents the bulk of this paper , the mechanism of sky wave
support, which
is
essential for communication in the H F
range, will be explained and, more importantly, he impact
of the resulting effects on communication systems from
such support will be covered in detail.
The ionospheric mechanism provides forward upport in
the range
3-30
MHz bymeans of specular reflection, refrac-
tion, or byscatterwith in he ionized medium.About
60 years ago, the idea of an ionized layeraboveand
concentric wi th the Earth as conceived of independently
by Iiennelly and Heaviside as a means of explaining the
phenomenon of long-distancecommunicationorders of
magnitude beyond line of sight distances.
Th e upper regions of the Earth’s atmosphereecome less
dense as one proceeds away from the ea rt h. In the egion
from approximately 50 km to 450 km, one can find mole-
cules of oxygen, nitrogen, nitric oxide, and rarer gasses in
dispersion.
It
is generally believed t ha t ultraviolet radia-
tions and corpuscular bombardment from the sun are the
main agents in causing the gasses to ionize in the upper
atmosphere. Th e level of this ionization s not uniform
throughout the region from 50 to 450 km, in fact, the ion-
ization is distributed in layers having peak intensities a t
particular heights.
The ability of the ionosphere to provide propagation
support is related simplyo the ondition that itsefractive
index at radio frequencies is different €rom th at at free
space. A wave incident to the onospheric layer a t angle
4
will be bent toward the horizontal and thenack to Earth
with a rate that is dependent upon the electron density
and the ngle of incidence. This phenomenon canbe related
to the refractive index as follows:
769
(1)
where
= refractive index of ionospheric medium
N = electron density n electrons per cc
e , v
=
charge and mass of electron
Eo = permit tiv ity of freespace
w = radianrequency.
The electromagnetic wave will reach a maximum height
prior
to
returning to Earth at the point where
N
is large
enough to reduce t he value of o that
u
= sin 4 (2)
where 4, as defined previously, is the angle of incidence of
the electromagnetic wave with he ionized layer.
An important application of the above relations is in
their use in obtaining what is known as the critical fre-
quency for the case where the electromagneticwave s
vertically ncident,hence
4 =
0, sin
4
= 0, and
=O
Such a wavewill reach a height determinedby N and then
be returned to Earth .
Th e relationship is as follows:
when the proper constants are substituted. n this case f is
the frequency of the wave in MHz.
This critical frequencyfo obtained y rearranging
(3)
N
o
= 4 1 . 2 4
x
104
=
9
x
1 0 - 3 d R
is the highest frequency which can be reflected as a result
of vertical incidence. It is obviously only dependent upon
N , the electron density.
Soundings by pulse transmission probing with vertical
incidence provides a means for determining this critical
frequency. I t s use s undamental n engineering com-
munications circuits and estimating proper operating fre-
quencies by means of the relationship
f (MUF) =
fo sec
4
5 )
where f(MUF) is designated as the maximum useable fre-
quency foroblique transmission,
fo
is the critical frequency
from vertical sounding, and 4 is the oblique path angle of
incidence. This relationship is based upon ray theory and
neglects the Ear th’s magnetic field. It s use for prediction
purposes is quite adequate, in view of other assumptions
made in theprediction process.
Figure 1 depicts the phenomenon of refraction resulting
from the effect on the velocity of wave front propagation
in a mediumof changing refractive index.
The ionospheremedium has classically beendivided
into a number of regions. That portion below 90 km is
known
as
the
D
region; it s existence is predominantly a
daytime phenomenon. The level of ionization is approxi-
8/17/2019 300 KHz-30 MHz MF_HF(Goldberg1966)
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770
I E E ET R A N SA C T I ON SO N C OM M U N I C A T lON T E C HN OL OGY
D E C E M B E R
/
Fig.
1.
Refraction
of
wave.
\
mately
lo2
electrons/cc at 70 k:m,
lo3
electrons/cc at
80
km, and l o4 electrons/cc at
90
lcm.
Of
necessity, electro-
magnetic wavesused for long distance and F layer propa-
gation pass through this region twice. Th e D region, be-
cause of i ts relatively higher concentration of neutral
particles and heavy ions, extracts energy from a passing
wave as a result of collisions with electrons excited by the
wave. As far asH F propagation js concerned, this region is
viewed asanattenuationband. However, atnighttime
when this attenuation is not present,we find phenomenal
propagation support for distant transmitters which gen-
erally cause a large increase n b,zckground interference.
The
E
region is considered as existing from
90
km to
approximately 160 km with a maximum region ionization
at about 110 km. Th e electron density at thi s height s
in the order of lo4 to lo5 electrons per cc during daylight
hours. At nighttime there is stillsome ionization,
but it
is
much weaker. The critical frequtmcy drops about an order
of magnitude from its dayt ime value. In addition to the
normal
E
layeronization, there ppears occasionally
patches of denser ionization a t
E:
layer heights that seem
to ravelas ionization clouds. Thisunpredictable phe-
nomenon s called Sporadic E and has been responsible
for creating nterference, because of it s superior support
for radiated energy, into areas not normally engineered to
allow for these signals. The E region is useful for propaga-
tion suppor t or distances up to2000 km, using frequencies
as high as
20
MHz.
The region above 160 km is hewn as theF region. This
region classically has been dividlxl into 2 layers known as
the
F1
and
Fz
layers. The
F1
layer generally exists during
daytime at about a height of 200 km, while the Fz layer
exists in the egion
250
to 4.50 knl.The F1 layer is not en-
erally considered as providing th'e basis for ell-engineered
long-distance communication. Th e F1 layer merges with
the
F2
layer a t nighttime to a height of about
300
km.
Th e electron density n this egion is in he order of lo6elec-
trons per cc. Th e 300-km layer height, called the F layer, is
usually considered as th e basis for circuit engineering. The
use of single hop transmission, because f the much greater
height of the F layer, can provide support to a distance of
4000
km or more. Frequencies as highs
50
MHz (when the
Fig.
2.
Electron density vs. height.
ionization level is high) can e utilized for his mode.
Figure 2 shows a profile of the threeregions and depicts
the electron density.
For various reasons, including it s high absorption and
low electron density, the
D
region has not been fully ex-
amined because of inst rumentation difficulties. However,
it is known that the D layer electron density varies with
the 11-year solar sun spot cycle and with the sun's zenith
distance. The electron density in this egion is a maximum
at noon and during theummer.
The
E
layer s generally well behaved except for the
unpredictableappearance of Sporadic E. The electron
density just before dawn rises from a low value a t night to
a maximumat noon then begins to fall again o a low value
after sunset. The E layer ionization does not change much
as a function
of
sun spot activity, nor does it vary much
with changes in season. The critical frequency of the E
layer hasempirically been determined o be
F , = 0.9 [(lSO
1.44
R
COS
y]lI4 (6)
where R is the sun spot number and
y
is the solar zenith
angle.
A
plot of the E layer critical frequency as a function
of the solar angleis shown in Fig.
3 .
The spread due to seasonal changes and time of day is
seen to be small. Generally, a lower critical frequency pre-
vails during the winter and summer. The variation, as a
function of solar activity, is depicted n Fig. 4. The change
is
even less pronounced.
When the short term behavior of t he E region is exam-
ined, there appearchanges in the rder of 10 percent in the
critical frequency which can be correlated with variation
in solar output. Magnetic storms do not materially affect
the
E
region. Short-haul circuit requirements for daytime
operation, based upon
E
layer reflection, can consequently
be easily satisfied.
The F1 layer, as shown in Fig.
2,
is not always sharply
defined.
Its
existence is most prominent during those times
when the critical F2 frequency is ow, as for example, during
the minimum of the sun spotycle.
It
is evident during he
summerand also during onosphericstorms. Thereare
small
changes in the
F1
critical frequency as a function
of
day to dayhanges in solar activity. Th e magnitude of the
8/17/2019 300 KHz-30 MHz MF_HF(Goldberg1966)
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1966 GOLDBERG:
MF/HF COMMUNICATION
SYSTEMS
771
.-
I
L
5
I
0.
0 1
.O.3 o . OS
o i
c.7 a a o
COS
SOLAR ZENIT# NGLE
Fig.
3.
Critical
E
layer, frequency
vs.
solar angle.
I L I
O 5 0
loo
IS0 t r 250
~McWTUIZD
&lNSPOr
NUMBER
Fig.
4.
Critical
E
layer, frequency
vs.
sunspot number.
change is approximately the same as th at experienced in
the
E
layer. This layer, as a efined enti ty, exists only in the
daytime.
The FZayer is he layer with theighest ionization evel
and plays a dominant role in long-distance communica-
tion. This layer is quite complex in its behavior. The Fz
layer critical frequency is not directly related to the solar
zenith angle. This layer exhibits what is known as anoma-
lous behavior. Th at is, it ac ts at times contrary to those
theories useful in explaining D,
E,
and F, layer behavior.
This
erratic
behavior occurs during the daytime n he
winter and has been labeled the
winter anomaly .
Figure 5 depicts
idealized
typical
Fz
layer critical fre-
quency behavior as a function of time of day andyear.
Figure
6
shows the dependence of the
Fz
layer critical
frequency on the sun spot number. The Fz layer shows a
direct dependence on he level of solar activity. During sun
spot maximum, the seasonal differences are enhanced. The
idealized MUF for various distances using Fz layer single
hop propagation as a function of time of day, season, and
sun spotmaximum and minimum are shown in Figs. 7 and
8.
The winter anomaly is quite evident.
The effects of changes in latitude and longitude on the
determination
of
critical frequencies relate essentially
to
the change in solar zenith angle at the geographical point
under consideration.
It
is
fairlyevident that one imitation o the useful
transfer of information from one point to another can be
expressed in terms of a signal-to-noise ratio. It is for this
Fig. 5 .
F
layer critical frequency vs. time of day.
Fig. 6.
F
layer critical frequency vs. sunspot number.
0 I
o
C
NODW
I 8
Lt
L O C L T IME Ar PATH CENTER
Fig.
7 . MUF
vs. time of day for winter.
NO *
18
LOCAL i M E
A T PAT H
c€NT€R
Fig.
8.
MU F vs. time of day for summer
8/17/2019 300 KHz-30 MHz MF_HF(Goldberg1966)
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772
IEEE T R A N S h C l ’ I O N S O N C O M M U N I C A T I O N T E C H N O L O G Y D E C E M B E R
Fig.
10.
Signal propagation
by
E
and
F
layer sllpport.
0.
/ O
M c s
oo
Fig. 9. Noise level
as
a function
of frequency.
reason tha t noise, as a primary factor in communication
link design, is impor tant in itswn right. Th e following dis-
cussion will be limited to wha t is known as external radio
noise and specifically, relates to atmospheric,xtra-
terres trial and man-made noise. Figure 9 shows the rela-
tive levels of these three noises.
Atmospheric noise generally consists of short pulses of
high amplitude with random occurrence superimposed on
a lower level of random noise. The average value over a
period of a few minutes is used to develop an averagefor a
given hour. These values are generally constant for the
hour except during local thunders torm activity
or
iono-
sphericsunrise
or
sunset. The diurnalvariation n the
hourly median is related to thechanging propagation con-
ditions and the thunders torm activity. Generally, akmos-
pheric noise is greatest a t low frequencies, becoming rela-
tively unimportant above 30 R’II3z.
The extra-terrestrial noise may come from the sun, stars,
and interstellar space. Solar flares, when they occur, can
cause considerable ncreases in the oise level. This galactic
noise becomes greater th an the atmospheric noise in the
frequency region above 10 MHz.
In theHI? band, man-made noise can be a most signifi-
cant factor in the total noise contribution. This fact pin-
points th e need for proper siting when set ting up a re-
ceiving location. This noise is generated by any and all
electrical equipment. Generally, man-made noise is propa-
gated by power lines and byground wave, consequently, t
is notaffected by ionospheric conditions. The level of man-
made noise is highly correlated wi,thhe population density
of t he surrounding area. Man-nmde noise may be random,
periodic,
or
a combination of both, depending on the noise
sources.
It
is interesting to observehat for
HF
radio com-
munication, the front endreceiver noise (internal noise) is
not the limiting factor in erformance. The simple process
of connecting an antenna to HF’ radio receiver introduces
noise at a level considerably higher than that developed
by the eceiver.
Based upon ray tracing concepts, it is possible to define
the mechanism of electromagnetil: energy transfer between
the tra nsmitt er and receiver by simply extending direc-
tional lines to the eflecting ionospheric layer with an ngle
off the horizon equal to the propagat ion take off angle.
Figure
10
shows this technique
for
a number of different
take off angles. The particular layer involved in propaga-
tion support is utilized in defining the mode of propaga-
tion. For example, a single reflection from the F layer would
be known as the 1
F
mode, a double reflection from the E
layer would be known as 2
E
mode.
The transmission distance limit for single hop reflection
using ionospheric layers, based upon geometricalonsidera-
tions, is dependent upon the height of t he particular layer
being employed.
For
E layer propagation, this limit is in
the order of 2000 km; for
F
layer transmission, the distance
limit for one hop support is about 4000 km.
It is possible, and in practice happens oftennough, that
more than one path is available for the propagation sup-
port of the tr ansmitted signal. It is obvious that the time
taken by each path
is
different, hence the signals arriving
at the receiver a t a particular instant will represent differ-
ent instantaneous transmission epochs. This phenomenon
is known as nlultipath propagation andgives rise to one of
the major sources of trouble in long-distance communica-
tionby high requency adio. Th e technique of trans-
mission circuit design, based upon the concepts of maxi-
mum useable frequency and frequency of optimum traffic
is predicted uponminimizing the m ultipath suppor t and
layer absorption. The spread in arrival time of the trans-
mitted signal for circuits of 3000 to 5000 miles could be in
the order of 3 to 5 ms. Theseverlappingignals
generate destructive interference to the composite signal
applied to the receiver. This , of course, will decrease the
intelligibility of voice transmission and will create errors
in digital transmission. Both theoretical and experimental
work has shown that multipath is a maximum at trans-
mission path distances of about
2000
km.
Since the dlfferential path delay that could be tolerated
is dependent upon the natureof the communication signal
and the rate of it s transmission, i t is important that op-
erating frequencies be chosen in order not to exceed the
acceptable delay. Figure
11
shows the mul tipath eduction
factor as a function of path distance with the time delay
as a parameter. This factor is to be applied to the maxi-
mum useable requencydetermined or the path under
consideration.
When considering those factors affecting transmission
reliability, in a sense, the phenomenon of mu ltipath propa-
gation could in itself be viewed as a factor in creating tur-
bulence in the ransmission channel. However, he broader
meaning of turbulence is related to solar flares, magnetic
storms, and sudden onospheric disturbances (SID).
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GOLDBERG: M F / H FO M M U N I C A T I O NY S T E M S
773
10'
O IO IO
D I S T A N C E W
Fig. 11. H F multipath reductionfactors.
The solar flare usually lasts less than one hour andgen-
erally occurs most frequently during sun spot maximum.
During the flare, large amounts of ultraviolet and X-rays
are emitted which, in turn, cause large increases in the
D
layer electron density. This has the ffect of increasing the
absorption of electromagnetic energy passing through the
region and of significantly decreasing signal strength. The
immediate effect on theE and F layers appears to bemall.
However, since the energy for earth-bound stations must
pass through he
D
region at least twice, the effect on com-
munication is already felt. Th e SI D
or
short wave fade-
outs (SWF) last a relatively short time from minutes to
hours and arexperienced in the sunlitegions of the Earth.
The magnetic disturbances are usually experienced about
20 to 40 hours after thenset of a flare. This is attr ibutable
to the lower energy corpuscular radiation from the flare.
Th e magnetic effects last from two to five days.
It
is this
delayed effect th at is the most troublesome. The magnetic
and ionospheric storms re a worldwide phenomenon
which, in severe cases, affect practically all high-frequency
transmission employing the ionosphere. During he sun
spot maximum he turbulence is moreevere, but of shorter
duration (two days), while during sun spot minimum, al-
though the flare occurrence is rarer, its effects last for a
longer time-five days.
Th e most significant effect of an ionospheric storm is the
reduction of the Fz layer critical frequency. n addition, the
F
layer acts more like a diffuse-scattering surface rather
than a surface hat provides reasonably specular eflection.
The effects of
F
layer electron density reduction re greater
at
higher geomagnetic latitudes.
It
ishas been noted
that during sun spot minimum there appears to be a
27-
day cycle to he ionospheric disturbance.This period
corresponds to the solar period of rotation.
I n addition to he disturbancescorrelatedwith solar
flares, a t least three other phenomena are common causes
of transmission turbulence. The first of these is known as
Sporadic
E.
These ionization clouds located in the
E
layer
region support the propagation of electromagnetic energy
at frequencies considerablyabove the normal
E
layer
RIIUF.
The ionization clouds travel, and in numerous in-
stances have provided
E
layer height propagation support
a t night, when the normal
E
layer is absent.
A second disturbance known as Spread F is manifested
as a continuum of
F
layer height in that rather than having
a single, normal, sharply defined vertically sounded return
frequency vs. layerheight,manyheightsappear,hence
there is multiple support for each frequency. he effect on
signals propagated via Spread
F
is generally to introduce
upon the signal rapid fluctuations characteristic of scatter
communications.
For
the third disturbance within the eneral framework
of turbulence, it is appropriate to discuss fading. There are
various types of amplitude ading.Theseare generally
related o he period betweenminimums. The shortest
interval generally relates to polarization fading between
the ordinary and extraordinary waves and s known as in-
terference fading. Periods ranging from about 0.1 seconds
to a few minutes are responsible for both selective and fla
fading. Selective fades relate to specific frequencies within
a transmissionband fading out hile flat fades relateo th
entire band fading out. When the fadeeriods are approxi-
mately five minutes
or
more, the fades are generally
attributable to bsorption changes in the
D
layer.
Th e distribution of the amplitude of the signal envelope
for the common type of fading (both selective and flat)
which is generally due to multimode support of propaga-
tion, is best escribed by the resultant f a composite wave
made up of
a
Rayleigh distributed amplitude and a stead
component. This type of distribution is known as
a
Rice
distribution. This distribution has the attribute that hen
the specular component
is
small, the distribution is essen-
tially a Rayleigh type andhen the specular component is
large, the distribution is essentially Gaussian.
It is interesting to note tha t most of the information
relating to the critical frequencies for each layer, the level
of
electron density, the existence of Sporadic
E
and Spread
F,
and the general stat e of the ionosphere is obtained by
means of electromagnetic probing using a device known as
an ionospheric sounder. In theast few years, however, this
has been supplemented by rocket and satellite sounding
from both sides of the ionosphere.
Up to the ost recent time, the technique was to launch
a vertically directed wave (pulse) and monitor its return
on an oscilloscope. By measuring the time delay for he re-
turn over a band of frequencies, it is possible to develop an
electron densityprofile using the mathematical relationship
between the criticalfrequency and he electrondensity
noted in
(4).
More importantly, for communication, it
is
possible to observe the critical frequency for each ayer
directly. Considerable skill is required n order to inter-
pre t the results and much manual processing is needed.
Figure 12 shows an idealized return from a vertical iono-
spheric sounder. An ionogram such as this is quite rare,
most of the t ime the re isonsiderable interference present
and each return is made upf two lines due to the ffect of
the Earth's magnetic field splitting the electromagnetic
wave into twodifferently polarized waves, because each is
reflected by a different electron density.
These
two waves
are known as he ordinary and extraordinary rays.
Ionospheric sounders are located in field sites all around
the world. The job of these stations is o collect da ta using
15-minute intervals regarding the critical frequencies for
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1000
900
aoo
-
700
600
500
400-
300
200
100
-
0
-
Y
E LAVER
2 3 4 5 6
1 8 s
FREPUENCY mc/s
Fig.
12.
Vertical sounder ionogram.
the various ionospheric layers. The information from the
various sta tions are collated at the Bureau of Standards
and from th is data, world charts are developed showing
the critical frequency as a function of time of day and
geographical ocations. This information s then used to
form predictions about the R4UF' and FOT that hould be
used for particular communication paths.
A recent development in the ionospheric sounding ar t
is the oblique sounder.This device permits ionograms o be
madeusing the actual communication pa th th at would
normally be employed for traffic. The technique is to use a
stepped frequency transmitter for sending he probing sig-
nal, while at the dis tan teceiving site the receiving system
is ocked instepwith he ransmitter.This echnique-
actually permits the measurement of communication sup-
port to be determined at will. &lore importantly, it frees
the communicator from reliance on predictions which are
not always reliable. The potential for optimized ommuni-
cations frequency determination on a real-time basis is at
hand through the use of oblique sounders. This technique
is just beginning to develop.
Utilization of most of t he preceding information n
terms of establishing the interplay between the various
factors considered for engineering long-haul ionospheric
transmission networks can best be established by employ-
ing prediction charts issued by the Bureau of S tandards.
Although the procedure is well laid out , the esult achieved
makes the employment of this approach an art rather than
a science.
The usualprocedure s to employ prediction charts
issued by theBureau of Standard.s everymonth which pre-
dicts critical frequencies three months in advance for all
parts of the world. These predictions are updated by means
of a monthly, weekly, daily, and evenhourlyadvisory
issued by
NBS.
An impor tant factor used in developing
such charts is the solar activity index. An incorrect esti-
mate n his actor would came troublesomeerrors in
estimating MUFs for particular circuits.
The technique nabbreviated orm is essentially as
follows:
1) Estimate hegreat circle distancebetween rans-
mitter and receiver site and locate its midpoint, in terms
of it s geographic coordinates.
2) Determine midpoint local time.
3) Determine MUF from predictioncharts for particular
zone of interest as a function of t ime of day and midpoint
geographical location.
4) Plot these points or a full24 hours.
5)
The optimum working frequency is then taken as
85
percent of these values.
Another curve must be developed in order to define a
lower limit to the choice of frequencies available a t a par-
ticular time. This isnown as he LUF
r
lowest useful fre-
quency. This imiting frequency s determined by theignal
strength required at th e eceiving location. This, in turn, s
related to the local noise level which sets the threshold
against which the desired signal-to-noise ratio is established
for the required performance criterion. Th e received signal
strength is,
of
course, related to he ransmit ter power
available, antenna ystems involved, the transmission
distance involved, and the absorptionosses experienced by
the electromagnetic wave. The signal strength determined
in this manner ishighly dependent upon the frequency at
which it has been calculated. It is necessary to determine
the lowest frequency a t which the required signal strength
will be achieved. A plot of these values fordiff erent times
of day will then be the locus of the lower limit of useful fre-
quencies for the pat h under consideration in terms of t he
type of service required. It isnoted tha t he signal
strength required s significantly related o he ype of
modulation employed and the reliability required.
Figure 13 shows the result of a determination of the
FOT and LUF
for
different length circuits. Th e idea for
circuit operation is to choose operating frequencies which
fall within the bounds of FOT and LUF. I n general, the
complexities of propagation coupled with the eed fo r rely-
ing on predictions that are the esult of many approxima-
tions makes the choice of an optimum operatingrequency
dif€icult. However, some broad guidelines are possible. A
useful and obvious criteria is to adjust things so that an
adequate signal-to-noise ratio is achieved. The step t o be
taken in thisdirection is to use the highest frequency tha t
will propagate to the distantreceiver. This pays off, since
radio noise decreases as the frequency is raised while
absorption s likewise decreased. Th e use of frequencies
near the MUF, n addition,results in less likelihood of
multipathprogagation.
Th e ar t of engineering high-frequency communication
circuits is well documented by myriad publications fr om
the National Bureau f Standards and the Radioropag*
tion Agency of the U. S.Army.
We now reach the point where we can discuss what we
have learned about theHF ionospheric mode of communi-
cation. Equipments utilizing this mode mploy voice,
music, TTY, facsimile, data , and ven noise as modulation
sources. With proper conditions, these equipments can be
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MF/HF
COMMUNICATION SYSTEMS 775
Fig. 13.
FOT-LUF
prediction.
used for essentially around the world communications with
distances being established by choice of operating fre-
quency, radiated power, and antenna ake-off angle.
Ionospheric propagation, as has been indicated, is gen-
erallycharacterizedbymultiplehop ionospheric layer-
ground reflection withboth specularand andom com-
ponents of energy arriving at he receiving antenna.
This energy, because of t he time variant dispersive proper-
ties of th e ionospheric medium, occupies a fading band-
widthfrom 0.05 to 15 Hz dependingupon th e level of
turbulence. Nonauroral path propagation generally has an
upper limit of about
2
Hz. The envelope of the composite
received signal exhibits Rician statistics with he Rayleigh
statis tic subset predominating as indicated earlier. Limited
da ta relating to measurement of th e correlation bandwidth
indicate that i t varies from about 100 to
3000
cycles de-
pending upon the channel turbulence. The time spread of
arriving energy varies fromess than 100ms to about4 ms.
With good pathsand properoperating frequencies the
multipath spreads are ess than 1ms. In this connection, it
is noted that ionospheric propagation via an auroral path
is generally much more turbulent than nonauroral trans-
mission. It is quite possible tha t t he fade rate may be as
high as
25
Hz while the correlation bandwidth may be
as narrow as
0
Hz or less over an auroral path. In general,
the ionospheric channel is limited in performance by both
additive disturbances such as atomspheric noise, friendly
interference, and basic propagation loss factorsandby
multiplicative effects such as fadeate and the Doppler and
time spread of the received energy.
By applying effective techniques uch as space, fre-
quency, or time diversity reception and the proper choice
of operating frequency, it is possible to have better thana
90 percent reliability factor forhis typeof channel.
Although R F bandwidths of up to
20
kHz (under good
conditions) can be adequately supported by this medium,
it isnoted tha t because of the hiah demand forassignment,
space and the already dense packing of users in this por-
tion of t he radio frequency spectrum, assignments are not
made that broad.
In general,
12
kHz of
RF
spectrum space s about as large
a slice tha t can be ssigned. In th emilitary this isenerally
utilized to carry four
3
kHz channels of information con-
sisting of either voice,
TTY,
facsimile, or data.
The most critical and fundamen tal ignal function th at
could be used to characterize the various forms of modula-
tion is considered to be a digital signal. Ultimately, it is
expected th at all information will be handled on a digital
basis. With this thought in mind, the
USAEL
undertook
a program to measure the properties of the ionospheric
channel in terms of it s fine grain behavior in both phase
and amplitude and n erms of the actual transmission
of digital signals. For the latter partf the work, both FSIi
and PSI
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p I C 4
Fig. 14. Phasetability vs. weraging time,igh SNR.. Fig. 16. Phasetability vs.veragingime, low
SNR.
Fig.
15.
Phase stability vs. averagingime,edium
SNR.
Fig. 17. Phasetability, low fadingate.
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0 20 LO 60 80
loo
120
a
Fig. 18. Phase stability, medium fading rate. Fig.
20.
Theoreticalhase stability for Rayleigh fading.
1 R 2
FB2
= ---
27r2
R2
where R = envelope of signal.
Using the theoretical curves in Fig. 0, it has een possi-
ble to extrac t f rom measured phase curves such as shown
inFigs. 14-19, estimates of th e fadingbandwidth. The
distributions for two classes of runs are shown in Fig. 21 .
It shouldbenoted tha t he ading bandwidth is not
the bandwidth of the power densityspectrum.For in-
stance, with a rectangularly shaped power density spec-
trum of width B, sayone cycle, the fadingbandwidth
would only be:
B
F B
=
~ FS 0.288.
2 6
(8)
The short-termamplitudecharacteristicsare also
of
significance. Figures 22 and 23 show th e distributions for
fine grainsignalamplitudemeasurements or
mild
and
sever e conditions with superimposed Rayleigh theoretical
curves. From a relatively large collection of da ta such as
this and the phase data cited earlier, it seems justified to
employ the statistics
of
narrow-band Gaussian noise as the
model of the time var ian t dispersive effect on ionospheric
transmission of signals.
The distribution of fading periods for m i l d and severe
conditions can be observed in Figs. 24 and
2.5.
It is appar-
ent that as the level of turbulence is increased, the fading
Fig. 19. Phase stxbility, high fading rate. period is decreased.
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778 IEEE TRANSACTIONS ONOMMUNICATIONECHNOLOGY DECEMBER
5 -
4
3 -
1
1 -
o
I1
0
4 5
I
*I5
LI .
B
,i .LC . 3
35
2
(b)
Fig. 21. Dis tributions of fading brmdwidths.
(a)
Low-frequency
group
8
to 11 MHz, total number of 22 min runs: 25. (b) High-
frequency group
17
to 21 MHz, tot al number of 22 min runs:
33.
u l cR o vo tTs
INPUT sII;nAt
Fig. 22. Distr ibution
of
average input signal amplitude (mild con-
ditions).
MICROVOLTS INPUlIGNAL
Fig. 23. Distr ibution of average input signal ampli tude (severe
conditions).
J
FADING PERIOD SECONDS
2 0 30
4.0
5.0
FADINGERIOD SECONDS
Fig. 24. Distr ibution of t he signal fading period (mild condit ions)
iAOlNC
PERIOD
SECONOS
Fig. 25. Distr ibution of the signal fading period (severe conditions).
Figure 26 showsa distribution of fadedurations or
various hreshold crossings below a6-second verage.
We can see, for example, that if we were concerned about
fades of 20 dB below the 6-second average (which could
have somewherebetween
35
and
50
dB signal-to-noise
ratio), there will be a probabilityof approximately 10per-
cent that the fade ill last at least 300 ps It would appear
that about 22 bits at
a
75 bits per second signaling r ate
would be clobbered during this t ime. However, it mus t be
noted that thi s mould not be the case, since, during this
fade interval, in general, only the centr al bitswould have
been exposed to nstantaneous signal-to-noise ratios low
enough to cause the bit error rate to reach0.5. The other
bits in the intervalould have probabilit ies f error related
to heir nstantaneousbit signal-to-noise ratio.
As
an
estimate
of
what would have happened during this inter-
val, it is judged tha t itmould be unlikely for more than
3
bits out of th e 22 to be in error.
Thesemeasurementsweremadeover the Hawaii to
Deal,
N.
J., path, which isbasic,ally one
of
our better paths.
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GOLDBERG:
MF/HF CO M M U N ICA TIO N
SYSTEMS
779
Fig. 26. Distributions
of
the time duration
of
a fade.
Carrier frequency 20425 kHz
Tape 68 Average SNR 49 dB
Track
3
Averageignal0
p
Recorded February
Average fading rate
Time 1600 EST
23, 1963 0.126 Hz
Information such as this
is
basic to the ult imate design
of effective coding for H F ionospheric channel.
Over the years, it has been convenient for USAEL to
categorize the state of ionospheric turbulence dur ing tests
of communication equipment. Figure 27 shows this classi-
fication. Generally, conditionson a circuitare such that the
principal diagonal (left top to right bottom) receive th e
greatest number of data samples. As a qual itative classi-
fication the left column can beconsidered as representative
of mild, the middle column medium, and the rightcolumn
severe propagation conditions.
Figure 28 shows examplesof performance of an FSK
ys-
tem and a DPSK system under mild and severe propaga-
tion conditions. These tests were conducted using space
diversity reception with the FSK (AN/FGC-29) system
operating a t
1200
b/s and the
PSK
system (AN/FGC-54)
operating at
3000
b/s. Bothsystems were operated a t
equal power per system each using approximately a 3
kHz
portion of the
RF
spectrum.
10 aeo
Fade thresholds-
3
dB
0
l O d B
6 dB 20 d B - 0
Threshold lncreasmg
right to left
1-2
0-2
2
1-3
B-3
0 3
Fig.
27.
Propagationcategories.
The significant points to be made are that we see the
existence of bracketing regions of performance. Th e exist-
ence of asymptotes to performance of FSK and
PSI< sys-
temshas beenmeasured for some time now with the
implication th at finite ncreases in power would be
in-
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780
IEEE TRA NSA CTIO NS ON COMMUNICATION TECHNOLOGY
DECEM BER
10
lo
10-
s
rn
n
lo-
10
\ , \
Fig. 28.
Comparison
ofFSK and PSK system performance.
effective in overcoming the loss in digital data reliability
due o he imevar ian t dispersive roperties of the
medium. I n this connection, Voelcker, i\/lasonson, and Bello
havemade significant contr ibut ions o he heory sup-
porting these observations.
During the lastew years th e underlying analytic mecha-
nism capable of accounting for th e measured performance
of FSK and PSI< systems havevolved with the esult tha t
useful and reliable predictions can now be made with re-
gard to system performance under dispersive channel con-
ditions.
Examples of such theoretical results for dispersive media
are seen in Figs. 29 and 30 where the bottoming effect is
quite evident.
It
should be noted that theseresults are for
nondiversity operation. An appropriatehift in scale would
be required t o utilize these curves for diversity reception;
the shape
of
the curves would not change.
It
must be
pointed out that theseesults are based upon consideration
of turbulence n th e channel hrough the fadingband-
width factor without considering the impact of multipath
propagation and its additional large contribution to the
irreducibleerror rate resulting rom th e generation
of
interchannel crosstalk and
oss
of signal set orthogonality.
I n Figs. 31 and
32 ,
we see examples of a lower bound of
performance due principally to atmospheric noise. Here we
see excellent agreementbetween the measured esults,
under mild and reasonably nonperturbed conditions where
atmospheric noise would be expected to limitperformance,
and the theoretical predictions for an
FSK
and a DPSK
digital da ta system under atmospheric oise conditions.
We now feel that withourpresentunderstanding of
ionospheric transmission tha t system performance can be
predicted quite closely once certain basic information
relating t o the turbulence of the ionospheric channel s
known.
It
appears that digital errors under high average SNR
are bounded at their lower error rate bound bytmospheric
(non-Gaussian) noise under nonperturbed conditions and
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H F / M FO M M U N I C A T I O NY S T E M S
781
I
/\\
D P S K error-rate =
-
1 1
2 1 + M + m
2r2/FB2/BR2
in slow fading : - ~
2 1 + M '
F B = O '
at cross-over: ~
1
M
M
=
(BR2/20FB2)
in fading limited region: 10 FB2/BR 2,M =
FB
=
fading bandwidth,
RR =
bit rate
=
1/T
I =
mea n signal power-to-noise power.
Fig. 29. Theoretical PSK bit error rate vs. SNR and fading
band-width.
FSE; error-rate
= - -
-
1 1
2 2
1 1
1
in slow fading: { ( l + ) ( l + ~ ) , F B = 0
at their higher error rate bound, by an irreducible
error
rate dependent upon the time and Dopplerspread (fading
bandwidth).
In order to obtain a dat a base relating to ionospheric
channels tha t mould permit more precise estimates to be
made of system performance, USAEL has undertaken a
field test program with contractual help to measure and
then generate the following information in terms of the
diurnal variations on the measured values and the choice
of operating requency and ionospheric support mode:
1)
autocorrelation of phase angle
2) cross correlation between frequency spaced received
3 probability density of received signal
4) autocorrelation of received signal
5 ) probability density of signal envelope
6) autocorrelation of signal envelope
7) probability density of phase angle between different
8)
cross correlation between envelopes of diff erent tones
9 cross correlation between phases of different tones
10) cross correlationbetween envelope and phase of
11)
fading bandwidth
signals
tones
same tone
i n fading imited region: (FB/D)2, pprox ( M
=
m
Fig. 30. Theoretical
FSK
bit error rate vs. SNR and fading
band-width.
12)
coherent factor
13)
time spread
14) frequencyspread
15)
bit error rate.
We expect that his information willgo a long way
toward removing the need for speculation about the basic
behavior of the medium and permit substitution for this
speculation the quanti tative values obtained from meas-
urement.
The fundamentalpurpose of all this effort a nd hat
described earlier is related to specific needs of the military.
One use would be to permit the measurement of certain
critical parameters in real time so that predictions of sys-
tem performance in real time can e made without theeed
to actually examine the received digital data.
A second and more significant use would be to employ
the results to guide the development of optimum da ta
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I E E ERANS ACTIO N S O N CO M M UNICATION TECH NO LO G YECEMBER
S Y S T E M
S N RG E N E R A L Y N A M I C S
T E S T
1-
Fig. 31. Comparison
of
theoretical an d measured FSK performance
in atmospheric noise.
terminals for the dispersive ionospheric medium. I n this
connection, the
USAEL
has alreadydeveloped, through i ts
supportingcontractors, wos,ystems designed tomatch
the changing data rate support
f
the perturbed ionospheric
channel.
These systems fall nto thecategory of what we call self-
automated adaptive comnmnication terminals responsive
to the data rate supportf the :medium.
One system already field tested, is known as the AN/
GSC-10. It
employs RAKE principles and reference track-
ing in addition to sophisticated processing known
t o
be
effective when designed specifically for time var iant dis-
persive ransmissionchannels. A much simplified block
diagram of the system is shownn Fig.
33.
Th e second approach to adaptive communication now
being fabricated, called ADAPTICOM, employs the means
for measuring the trans fer f uncti on of the pertu rbed me-
dium. This nformation is utilized at th e eceiving terminal
to create a matched filter to he medium and then operate
on the outputof the matched filter to reduce the side lobe
response of its essentially sinx/z output. This system in
simplified form is shown in Fig. 4.
Basically, the communication concept is o nterlace
probe signals with the data to be sent. The probe signal
sets up he receiving networlts
so
as
to
make the total
transfer function fromhe transmitter antenna through the
receiver terminal appear identical to that
of
a lossy linear
phase, constant time delay, nondispersive network. Once
the receiving networks are set data is transmitted serially
SYSTEM NR IGENERAL DYNAMICS TEST1 -
Fig.
32.
Comparison
of
theoretical and measured PSK performance
in atmospheric noise.
using shortbauds.Theentireoperation s completely
automaticwith channelprobe signals occurringoften
enough to follow the time var ian t ehavior of the channel.
The adaptive approach opens up a new concept in
HF
communications in that data under the proper conditions
may possibly be sent over a 3 kHz channel at the rateof
4800 to 9600 b/s whereas before, serious problems de-
veloped when we a.ttempted to end 2400 b/ s at an ccept-
able error rate level.
The use of shor t bauds in ransmission over a dispersive
HF ionospheric medium represents a major epartu re from
the heretofore accepted practice. In fa ct , ull exploitation
of th is concept requires basic da ta about the transmission
medium in terms of shor t baud transmission which is, at
this time, very scarce. We expect t o be adding to the data
base in this area lso in the near future.
The full ramfications of the adaptive approach to om-
munications have many useful ide effects.For example, in
theADAPTICOMapproach he existence of multiple
paths of propagation s actually employed as sources of
diversity input .which are processed so as to provide co-
herent gain in the equipment. I n this way, it appears that
a more optimum approach to a choice of operating fre-
quency
is
away from the RIUF toward the ordinarily un-
desired, henceunused byother communicators, par t of
the spectrum. Two advantagescould accrue from his fact,
one is th at th e available spectrum for communications is
broadened and, two, there would be less mutual nter-
ference.
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1966
GOLDBERG: M F / H F C O M M U N I C A T I O N
SYSTEMS
V
783
(b
~ Fig. 33. Simplified block diagram AN/GSC-10 system. (a) Transmit terminal. (b) Receive terminal.
r - - - - - -
t
- - ,
Fig.
34.
Simplified block diagram AN FY C- 5 system. (a) ADAPTICOM ransmit terminal. (b) ADAPTICOM
receive terminal.
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IEEE
T I t A N S h C ‘ l T O N SO N C O M M U N I C P . T I O N T E C H N O L O G Y VOL.
C O M - ~ ~ ,O . 6 DECEMBER 1966
CONCLUSION
At the present t ime we ha1.e a good handle on the con-
trol of the dispersive properties of the H F medium. Th e
possibility exists th at he use of adaptivesystems will
permiterror ates obe esponsive toand mprovable
upon by increases in received signal-to-noise ratio without
having
to
cope with
a
high ir.reducible error rate.
It
is ex-
pected thak th e remaining PI-oblem of atmospheric noise
will be ov’ercome by means of effective coding. We feel
that in the near future
HI?
ionospheric ransmission of
digital da ta will atta in a level
of
reliability a few orders of
magnitude beyond present capabilities reaching
a
state of
performance thought impossible just a few years ago.
ACKNOWLEDGMENT
The author would like to a,cknowledge he fine support
given to the
USAEL
general program in HF communica-
tion research by GeneralDynamics, nc. Stromberg-
Carlson Division), RCA Inc.,Defense Electronic Products,
Adcom Inc., and Communicstions Systems Inc. He also
acknowledges thecontributionsand assistance of
L. B.
Shucavage and J. Korte, both of USAEL, in the conduct
of the many programs thatave rise to the da ta resented.
REFER.ENCES
[ I ] “Radio propagation,” Department of the Army, Rept. TRI 11-
[2] F.
E.
Termon,
Radio ngineeringHandbook.
New York:
499, 1950.
McGraw-Hill, 1943.
[3] “Ionospheric radio propagation,” Nat’ l Bur . Std. Circular 462,
[4] K. G. Budden,
R a d i oWaves n theZonosphere.
Cambridge,
[5] S. K. Mitra,
TheUpperAtmosphere .
Calcutta,India: Asiatic
[6] ‘:Basic radio propagation predictions,” Nat’l
B u r .
Sld. CRPL
[7] “Reference da ta for radio engineers,”
ITT,
1956.
[8] Nat’l Bur. Std. RadioPropagation Course Notes, 1961-1962.
[9] B. Goldberg, “HF radio data transmission,” I R E T ra ns .
on
Communications Systems,
vol. CS-9, pp. 21-28, March 1961.
[lo] “Evaluation of a new high frequency adiocommunication
equipment,” General Dynamics Corp., Fina l ltep t.2 for task
1
Rept. AS 272 565, 1961.
[11] ‘Wtudy of fine grain fading and phase stabil ity of multiple CW
signals,” General Dynamics Corp., Rept.
3
for task 3, Rept.
AD 406 213, 1962,
[12] “Study of fine gram fading and phase stabili ty of multiple CW
signals,” General Dynamics Corp., Rept. 4 for task
3,
Contract
[13] J. Kort e and C. Jackson, “Evaluation of high frequency com-
municationsequipment using frequency stabilized receiver,”
UASELRDL, Test Rept. 1544 June 1963.
[14] J. F. Korte and J.
S
Koch, “Measurement of the phase per-
turbations of a CW slgnal over
a
long haul
H.
F. circuit and its
signal,” (Addendum to 1111 and 1121) USAEL Rept., April
1
comparison with nalyt ical resultsor
a
Rayleighading
1964.
[15] “Ionospheric transmission models, task 5 correlation between
transmission parameters of dispersive circuits and ystem
performance forpplication todaptive communications
systems,” RCA Defense Electronic Products,ContractDA
[IS] B. Goldberg, L. B. Shucavage, and
J.
Korte, “Fine grain iono-
spheric behavior,”
Globecom VZ Sympos ium Diges t ,
Philadel-
[17] ‘Character izat ion of radio channels,” Adcom Inc., Inte rim
phia, Pa., Ju ne 2-4, 1964.
Rept. Contract AD 28-043 AMC-00038 (E), 1964..
[18]
"Analytical
and experimental study of correlatlon function
over HF circuits,”Communicationsystems Inc.,inal
Rept. , Contract DA 2S-043-AMC-O0145(E), 1965.
1943.
England: Cambridge University Press, 1941.
Society.
Series D.
DA 36-039 SC-88943, 1963.
36-039 SC-87240.
Optimum 13inary
FSK
for Transmitted Reference
Systems Over Rayleigh Fading Channels
Absfracf-It is well known tha t in communicating over randomly
time-varying channels, a receiverwhich performs a channelmeasure-
men t can make a better decision than one that does not. Furthe r-
more, if th e channel characteristics vary relatively slowly in com-
parison to a arge number of adjacent message intervals,
a
small
portion of the transmittt er energy can be devoted to channel meas-
urement, and, in spiteof the loss of energy in the informat ion bear-
ing portion of the s ignal, the resulting sys tem performs bette r than
one with no measurement. This p,aper shows that improved system
performance from a channel measuring system occurs, even when
the channel characteristics are fixed only during the presentmessage
interval.
Th e randomly time-varying cha.nne1 stu died is that of a Rayleigh
fading medium with independently fading mark and space channels
whose fading i s fixed over one haud interval but is indepen dent
Manuscript received June 4,19fi5.
was formerly with the Air Force Cambridge Research Laboratories,
The author is with the University of California, Im ine, ‘Calif. He
Bedford, Mass.
from baud o baud. The transmission system s a modified fre-
quency shift keying (FSK) ystem such tha t during a portion of a
baud nterval, the m a r k and space frequencies are always trans-
mitted
so
as to a ct as reference signals. For this system, the follow-
ing has been established:
1
optimum receiver configuration
2 ) optimum ratio 01 of information energy to total signal energy
3 asymptotic optimum 01 for an M-diversity channel
4 ) error probabilities for item 2 and asymptotic error probabilities
for item 3 for oopt s a function of total SNR. The asymptotic results
show tha t by using reference echniques the order of diversity is
effectively doubled.
as
a
function of total available
SNR
for a single fading channel.
I
INTRODUCTION
NFORMATIONransmission verandondyime-
varying channels has been studied by many authors
[1]-[3].
Kailath has studied the Gaussian, randomlyime-
784