One implementation of a single delay line canceler with feedback is shown below.

(a) What is the transfer function, \(H(z)\) ? 

(b) If the clutter power spectrum is \(W(f)=w_{0} \exp \left(-f^{2} / 2 \sigma_{c}^{2}ight)\), find an exact expression for the filter power gain. 

(c) Repeat part (b) for small values of frequency, \(f\). 

(d) Compute the clutter attenuation and the improvement factor in terms of \(K\) and \(\sigma_{c}\).

Transcribed Image Text:

x(t) + delay, T K y(t)