2
Elec 341 - Nyquist Criteria 1 () 2 s Fs s 1 : 1 () .4 .2 3 1 : 1 () .33 3 1 : 1 () .4 .2 3 : () .2 .4 2 1 : 1 () 1 1 : 1 () 1 1 1 : 1 () 1 : () .2 .4 2 j A s j Fs j j B s Fs j C s j Fs j j j D s j Fs j j j E s j Fs j j F s Fs j G s j Fs j j j H s j Fs j j G A C B D F E H G A C B D F E H

s Fs () s 2 - University of British Columbialeos/pdf/e341/notes/Nyq.pdf · Elec 341 -Nyquist Criteria 2 𝐾𝐺𝐻 L100 10 𝑠 E1𝑠 E10 GM = ∞ dB PM -20 ωc 30 rad/s 𝐾𝐺𝐻

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Page 1: s Fs () s 2 - University of British Columbialeos/pdf/e341/notes/Nyq.pdf · Elec 341 -Nyquist Criteria 2 𝐾𝐺𝐻 L100 10 𝑠 E1𝑠 E10 GM = ∞ dB PM -20 ωc 30 rad/s 𝐾𝐺𝐻

Elec 341 - Nyquist Criteria

1

( )2

sF s

s

1

: 1 ( ) .4 .23

1: 1 ( ) .33

31

: 1 ( ) .4 .23

: ( ) .2 .42

1: 1 ( )

1

1: 1 ( ) 1

11

: 1 ( )1

: ( ) .2 .42

jA s j F s j

j

B s F s

jC s j F s j

j

jD s j F s j

j

jE s j F s j

j

F s F s

jG s j F s j

j

jH s j F s j

j

G

A

CB

D

F

E

H

G A

C

B

D

F

E

H

Page 2: s Fs () s 2 - University of British Columbialeos/pdf/e341/notes/Nyq.pdf · Elec 341 -Nyquist Criteria 2 𝐾𝐺𝐻 L100 10 𝑠 E1𝑠 E10 GM = ∞ dB PM -20 ωc 30 rad/s 𝐾𝐺𝐻

Elec 341 - Nyquist Criteria

2

𝐾𝐺𝐻 10010

𝑠 1 𝑠 10

GM = ∞ dBPM -20 ωc 30 rad/s

𝐾𝐺𝐻 10010

𝑠 𝑠 1 𝑠 10

GM = n/aPM = n/a ωc 10 rad/s