Discrete Time Signals and Systems MCQs

The system described by the difference equation y(n)-2y (n-1)+y(n-2)= x(n)-x(n-1) has y(n)= 0 and n<0. If x(n) = 8(n), then y(2) will be

Given that F(z) and G(z) are the one-sided Z transforms of discrete time functions f(nT) and g(nT), the Z transform of Ef(kT) g(nT - kT) is given by

Which one of the following represents the impulse response of a system defined by H(z) = z-1"?

If the function I-11(z) = (1 + 1.5 z-l-z-2) and H2(Z) = Z2 + 1.5 z-I, then

Consider the following statements regarding a linear discrete-time system Z2 +H(z) -(z + 0.5)(z - 0.5) 1. The system is stable. 2. The initial value h(0) of the impulse response is -4. 3. The steady-state output is zero for a sinusoidal discrete-time input of frequency equal to one-fourth the sampling frequency? Which of the statements are correct?

The Z-transform function of a stable system is given as 3 -.1 2 - - z H(z) - (1- 2z-1)(1+ z--1) The impuse response hInj is

A causal system has input x[n] = (-3)" u[n] and output[An] = [4(2)1) uini The impulse response of this system is

The transfer function of a system is given z(3z ? 2) by H(z)=4 The system is

The transfer function of a system is given 2(z+ ?1) 2 as H(z) ? 1Consider the two statements : Statement (A) : System is causal and stable Statement (B) : Inverse system is causal and stable The correct option is