Low pass and High Pass filters were designed with the input parameters As ,Ap pass band frequency and stop band frequency and sampling frequency.The order of the filter was calculated using the given values of attenuation in pass band and stop band, pass band and stop band frequencies and sampling frequency. The normalised and denormalised H(s) was calculated, from which the Transfer Function H(z) was calculated. For HPF there is a pole at +1 and for LPF pole is at -1.
https://drive.google.com/file/d/0B9zlXLFfOipjdzZMa240RU95VG1TUl9xODJVOGtyaHFoME9J/view?usp=sharing
https://drive.google.com/file/d/0B9zlXLFfOipjdzZMa240RU95VG1TUl9xODJVOGtyaHFoME9J/view?usp=sharing
For obtaining h(z) from normalized form s is replaced by( z-1)/(z+1). And then the poler are calculated.
ReplyDeleteYes
DeleteThis formula is for transform domain method-BLT.
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ReplyDeleteChebyshev filter because the curves observed in this fliter approaches ideal filter response
DeleteFor same specifications, the order of Chebyshev filter is less than that of Butterworth filter, i.e. the number of poles is less in Chebyshev, thus less number of discrete components are required in Chebyshev filter, hence it is preferred
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