# Question: a discrete linear system with input x and output y...

###### Question details

A discrete linear system with input x and output y is described by the difference equation

y[n]=y[n-1]+x[n]-x[n-4]

Find the transfer-function of this system and calculate its poles and zeros. Compute the impulse response of this system.

Determine frequency response of the filter and the frequencies at which it is zero.