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y(n) = g*y(n-N) - x(n) + (1+g)*x(n-N);
y(n)- g*y(n-N) = - x(n) + (1+g)*x(n-N);
(1-z^-N)Y=(-1+(1+g)z^-N)X
H=Y/X=(-1+(1+g)z^-N) / (1-z^-N)
for N=5
b=[-1 0 0 0 0 (1+g)] (numerator)
a=[1 0 0 0 0 -1] (denominator)
note that for N=5, a and b are length 6
You must study some dsp in order to...
For different frequencies, you get different gains and different phases (lags). g is a filter parameter, which is not directly related to the filter overall gain on a given frequency. U can plot |H(jw,g)| for the fixed frequency of 5kHz to see how g affects the filter gain at that frequency...
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