A causal, nonideal lowpass filter is designed with frequency response The difference eq...

A causal, nonideal lowpass filter is designed with frequency response The difference equation relating the input x[n] and output y[n] for this filter is specified as

The filter also satisfies the following specifications for the magnitude of its frequency response:

Now consider a causal LTI system whose input and output are related by the difference equation

Show that this filter has a passband with a tolerance of δ_p, and specify the corresponding location of the passband.