Digital Signal Processing PPT on simulink

8/16/2019 Digital Signal Processing PPT on simulink

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DIGITAL SIGNALPROCESSING - GARUDA SUMA PR

-SRI TEJA GADAMSE - ADITYA KP



SIGNAL SAMPLING ANDRECONSTRUCTION

In signalprocessing, sampling is thered!ti"n "# $!"ntin"s signal t" $ dis!rete

signal% A !"&&"n e'$&()e isthe !"n*ersi"n "# $ s"nd +$*e$ !"ntin"s signal t" $se.en!e "# samples $dis!rete-ti&e signal%



S(("se the hi/hest #re.en!0!"&("nent, #"r $ /i*en $n$)"/si/n$) is f &$'% A!!"rdin/ t" the

N0.ist The"re&, the s$&()in/ r$te&st 1e $t )e$st 2f &$' "r t+i!e the

hi/hest $n$)"/ #re.en!0!"&("nent% I# the s$&()in/ r$te is)ess th$n 2f &$', s"&e "# the hi/hest

#re.en!0 !"&("nents in the

$n$)"/ in(t si/n$) +i)) n"t 1e!"rre!t)0 re(resented in thedi/iti3ed "t(t% 4hen s!h $di/it$) si/n$) is !"n*erted 1$!5 t"$n$)"/ #"r& 10 $ di/it$)-t"-$n$)"/!"n*erter, #$)se #re.en!0

!"&("nents $((e$r th$t +ere n"t inthe "ri/in$) $n$)"/ si/n$)% This



SAMPLING ACCORDING TO NY6UISTCRITERIA

#78999:

#s7;999:

t79<8=#s<8:

'7sin2>(i>#>t:

()"tt,':

/rid "n:

$'is?9 @e-9 -8%2 8%2B:



ALIASING 8999 SIGNAL APPEARS TO E A F99 SIGNA

#78999:#s78F99:

t79<8=#s<8:

'7sin2>(i>#>t:

()"tt,':

/rid "n:

$'is?9 @e-9 -8%2 8%2B:

$)s" h$s $ (h$se shi#t "# (ir$di$ns



ALIASING 2999 SIGNAL LOOKS LIKE A F99 SIGNAL

#72999:

#s78F99:

t79<8=#s<8:

'7sin2>(i>#>t:

()"tt,':/rid "n:

$'is?9 @e-9 -8%2 8%2B:

n" (h$se shi#t



SIGNAL SAMPLING ANDRECONSTRUCTION

D"+ns$&()in/ de!i&$ti"n isthe (r"!ess "# s1s$&()in/ $dis!rete si/n$)% I# D is thed"+ns$&()in/ #$!t"r then "ne"t "# D s$&()es $re !h"sen#r"& the "ri/in$) si/n$) t"

!"nstr!t the s$&()ed si/n$)%U(s$&()in/ is the (r"!ess "#intr"d!in/ 3er"s 1et+eens$&()es t" !re$te $ )"n/ersi/n$)%





The "ri/in$) si/n$)s(ee!hd#t in &(#"r&$t h$s 1eens$&()ed $t 229F9h3there#"re si/n$)s inthe -88 t" 885h3 r$n/e$re de(i!ted, is 8@ 1it

$nd is in &"n" #"r&$t-t" red!e (r"!essin/"n the "t(t side%t$5en #r"& &)ti&edi$H)e- Si&)in5 )i1r$r0%"+e*er "ther $di"

H)es "r re$) ti&es ee!h si n$)s !$n $)s"

ORIGINAL SIGNAL



The in(t t" the &)ti("rts+it!h sh")d 1e si/n$)s

s$&()ed $t the s$&e#re.en!0 #"r it t" #n!ti"n(r"(er)0, hen!e +e &st $ddrednd$n!ies t" "1t$in thedesired s$&()in/ r$te "#229F93 +hi!h is d"ne

thr"/h $n (s$&()er 1)"!5% The !"nse.ent !"&("nents$re st #"r $&()iH!$ti"n $nds&""th ($ssin/ "# the si/n$)&iti/$ti"n #"r $)i$sin/ $sthere is )"ss "# si/n$) ener/0

+hi)e (r"($/$tin/ thr"/h the





SIGNAL TROUG A LO4PASS ILT

4e 5n"+ th$t &"st "# thein#"r&$ti"n in $n0 si/n$) is!"nt$ined in the )"+ #re.en!0!"&("nents% en!e, +e ($ssthe si/n$) thr"/h $ )"+($ssH)ter "# 2%5h3 !t"

#re.en!0% en!e, there is n"n"ise "r dist"rti"n 1t $ s&$))$&"nt "# in#"r&$ti"n &$0 1e)"st "r $tten$ted%



SIGNAL PASSED TROUG A LO4PAILTER AND TEN DO4NSAMPLED

The si/n$) ($ssed thr"/h $)"+($ss H)ter $nd thend"+ns$&()ed 10 $ #$!t"r "# s"nds *er0 si&i)$r t" the si/n$)($ssed "n)0 thr"/h $ )"+($ssH)ter% The )"+($ss H)ter st&iti/$tes the dist"rti"n !$sed

10 $)i$sin/% 0 d"+ns$&()in/ thesi/n$) +e h$*e in!re$sed thee!ien!0 10 $*"idin/ #rthernne!ess$r0 !"&(t$ti"ns #"r"ther !"&()e' $(()i!$ti"ns $nd$)s" red!ed the $&"nt "#

s($!e re.ired t" st"re these



SAMPLING AN ANALOG SIGNAL

In (r$!ti!e, the s$&()in/ is $!!"&()ished 10 &e$ns "# hi/h s(eeds+it!hin/ tr$nsist"r !ir!its% A!!"rdin/)0, +e Hnd th$t the res)tins$&()ed +$*e#"r& de*i$tes #r"& the ide$) #"r& 1e!$se $ (h0si!s+it!hin/ !ir!it h"+e*er #$st sti)) re.ires $ n"n 3er" inter*$) "#

The s$&()in/ t$5es the #"r& "# n$tr$) s$&()in/ $nd $t t"( s$&1"th !$ses, the s(e!tr& "# the s$&()ed si/n$) is s!$)ed 10 the r

T=Ts, +here T is the s$&()in/ ()se dr$ti"n $nd Ts is the s$&()in T0(i!$))0, this r$ti" is .ite s&$)), +ith the res)t th$t the si/n$) (the "t(t "# the )"+ ($ss H)ter in the re!ei*er is !"rres("ndin/)0"+e*er, +e !$n re&ed0 this sit$ti"n 10 the se "# $&()iH!$ti"





SAMPLE AND OLD AMPLIIER

In $ s$&()e $nd h")d $&()iHer, thes+it!h is ti&ed t" !)"se "n)0 #"r $s&$)) dr$ti"n T "# e$!h s$&()in/()se, drin/ +hi!h ti&e the!$($!it"r r$(id)0 !h$r/es ( t" $*")t$/e )e*e) t" th$t "# the in(t

s$&()e% 4hen the s+it!h is "(en,the !$($!it"r ret$ins its *")t$/e)e*e) nti) the ne't !)"sre "# thes+it!h% Ths, the s$&()e $nd h")d!ir!it re(resents $ st$ir!$seinter(ret$ti"n "# the "ri/in$) si/n$)%



The +$*e#"r& t" the )e#tre(resents ti&e s!"(e i%e%the r$nd"& si/n$) $(()iedt" the !ir!it% The

+$*e#"r& in the &idd)ere(resents the !)"!5 $ndthe +$*e#"r& $t the )e#tsh"+s the "t(t "# thes$&()e $nd h")d !ir!it





The si/n$) is re!"nstr!ted &"re #$ith#))0 in the !$se "s$&()e h")d $&()iHer r$ther th$n the !$se "# s$&()in/$&()iHer, +here the re!"nstr!ted si/n$) sers #r"& $$&()itde dist"rti"n%

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Digital Signal Processing PPT on simulink