GATE EC 2022: Signals & Systems Quiz 7

Consider a discrete time periodic signal . Let a_k be the complex Fourier series coefficients of x[n]. The coefficients are non-zero when k = Bm ± 1, where m is any integer. The value of B is_________.

The DTFT of a sequence x is X ().
Then find the value of   X ()

Given the unilateral Z-transform  The initial and final value of x(n) are respectively.

If x(z) is z-transform of , then ROC of X(z) will be

Consider a non-causal system whose Z-transform is given by

Find x(1) = ___________?

Consider the signal given below.

Find the z-transform of the above signal.