Consider the equalizer audio system with specifications given (see project text below).
a) Design a seven-band equalizer using a fourth-order bandpass filter. The center frequencies and bandwidths are listed in Problem 8.52.
b) Verify your design for each filter using freqz function in MATLAB.
c) Use Direct Forms I or II to realize the seven filters. Compare the results of each filter with the ones you obtained in part b) using freqz. You must find them identical or very close to each other. If not, comment on the reasons why this did not happen.
d) Use the signal in the audio file mentioned in Problem 8.52 to listen to the signal when there is no gain (each sub-band gain is unity). You need to compare this signal with the original one. If they are not identical, explain why.