A band pass filter has a center frequency of 5kHz Its maximu

A band pass filter has a center frequency of 5kHz. It’s maximum gain is 0dB, and it’s pass band edges lie at -0.5dB, 1.6kHz apart. The transition widths are 400Hz, and the stop band attenuation is 35dB. Choose an order for the Chebyshev Type I filter that satisfies these specification for a 15kHz sampling rate.

Solution

Matlab code to get required order

wher Nyquist frequency is sampling frequency/2= 15000/2=7500

Wp = [3400 6600]/7500;
Ws = [400 7000]/7500;
Rp = 0.5;
Rs = 35;
[n,Wp] = cheb1ord(Wp,Ws,Rp,Rs)

n =

5

Wp =

0.4533 0.8800

So the required order of type 1 chebyshev filter is 5

you can also design the filter and verify in matlab using this code