Could I please have the worked solution for the following question:

Write detailed notes on the following topics:

a) Discuss the use of a matched filter in detecting a signal of known shape corrupted by an additive, zero mean, Gaussian noise.

b) Discuss how errors can arise in the hardware realization of a digital filter. How can these errors adversely affect the performance of a digital filter, particularly that of the infinite impulse response type?

c) Discuss the considerations influencing the choice between either a finite impulse response (FIR) or an infinite impulse response (IIR) filter implementation for a particular application.