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poles and zeros decide the behaviour of circuits or transfer functions,on poles gain is decrease by -20db/dec per pole and zeros does oppossite to it mean gain is increased by 20db/dec for each zero
if u need some thing regarding simulations... then probably ur simulation tools refenence manual will do... if u are talking about theoritical / paper-pencil analysis
then go for a good control systems book.
poles and zeros decide the behaviour of circuits or transfer functions,on poles gain is decrease by -20db/dec per pole and zeros does oppossite to it mean gain is increased by 20db/dec for each zero
To make pole zero analysis manually for your ct. :
1.you should transform -or at least to imagine- the ct. into resistors, capacitors, inductors,dependant sources, & independant sources. [and you should know the s notation for each of all of these.]
2.you should know where is the out-put & the in-put [transfer fn is output/input ] , & try to divide the ct to cascaded stages if possible (in some cases some parts couldn't be divided) to get the transfer fn of each stage alone, & try to factorize the numerator & denominator of each T. Fn. into brakets each contain ( 1 +/- s/s° ) , in some cases you couldn't do this & you will get 2nd order factor (1 +/- s/ω°Q +/- s²/ω°²).
3.after geting the overall fn. : you could have:
i)in the numerator :LHP(complex or real) or RHP(complex or real) Zeros.
ii)in the denomenator :LHP(complex or real) or RHP(complex or real) Poles.
for ( 1 + s/s° )you have real LHP poles or zeros while for ( 1 - s/s° ) they are RHP.
for (1 +/- s/ω°Q +/- s²/ω°²) poles or zeros are complex conjugate or real depnding on the values of Q & ω°.
I want to add to xulfee post the phase variation:
poles make -20dB/dec for gain while if LHP they add +90 deg phase shift & -90 deg if RHP, while zeros are the opposite [all of these starts from basic complex no. calculation]
ashish_chauhan said:
if u need some thing regarding simulations... then probably ur simulation tools refenence manual will do... if u are talking about theoritical / paper-pencil analysis
then go for a good control systems book.
Any book on "Circuits and Systems" would help.
Try searching this forum in books section using this keywords.
Also "Control systems design" or any Automatic Regulation Theory books would do.
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