The impulse response of a DT system is h[n] = 3^(n-1)u[n] . Calculate the input x[n] which generates an output y[n] = 2^(n-1)u[n-1] using z-transform method.

What is the coefficient of x^n for the generating function (1)/(1+x)^2?

use m(z)=z^2-1 to find m(z)-m(z-h)

Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give the solution of the problem and your inference on the problem