Question: find the transferfunction gz of the fir filter yn ...
Find the transfer-function G(z) of the FIR filter
y[n] = (1/(M+1))Sum x[n-1] where sum is the sum from i=0 to M
Obtain its zeros and frequency response. You may use the fact that if |x|<1 then
SUMx^j = (1-x^(M+1))/(1-x) sum from j=0 to M
A comb filter is formed by taking the z transfer-function of the FIR filter of the above equation and replacing z by z^H, where H is a positive integer. Find the transfer-function, zeros and frequency response of this filter.
Give a clearly labelled sketch of the filter in the case of M=3 and H=3