I have used MATLAB to compute the amplitude response of the filter and plot it.
MATLAB code is given below in bold letters.
w = -pi:0.01:pi;
H = 0.2929*(1-2*cos(pi/4)*exp(-1j*w)+exp(-2j*w));
figure;plot(w,abs(H),'linewidth',2);grid on;
xlabel('w');ylabel('Magnitude');title('Amplitude response of the
filter');
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