Consider the system shown below. Suppose that H,(e") is fixed and known. Find H,(e™), the frequency response of an LTI system such that y,[n] = y;[n] if the inputs to the systems are the same. 3 H...

How can the broad solution of this  two problem be done?

Extracted text: Consider the system shown below. Suppose that H,(e") is fixed and known. Find H,(e™), the frequency response of an LTI system such that y,[n] = y;[n] if the inputs to the systems are the same. 3 H (e") 13 x[n] yıln] (a) H;(ei") x[n] y2ln] (b)


Extracted text: Obtain the transfer function of a lowpass digital filter meeting the following specifications: 0 - 60 Hz > 85 Hz Passband frequency Stopband frequency Stopband attenuation > 15DB Assume a sampling frequency of 256 Hz and a Butterworth characteristic.