DFCCIL EE/EC Signals & Systems QUIZ - 5

A system is described by the described by the difference equation

y[n] = x[n] – x[n – 2]+ x[n – 4] – x[n – 6]

The impulse response of system is

Let x[n] = δ[n – 1] + δ[n + 2].

The unilateral z-transform is

The time signal corresponding to  is

An L.T.I system with input x(n) = {2, 4, 6, 8, 10, 12} produces the output as {1, 3, 5, 7, 9, 11, 6}. Then the impulse response is ……………

The region of convergence of a signal x[n] whose z-transform is represented as X(z), where

The discrete time signal x(n), the Z transform is defined as X(z). If x(n) is defined as

Then the value of X (1) is