Discrete Time Signals and Systems MCQs

If a(n) is the response of a linear, time-invariant discrete system to a unit step input, then the response of the same to a unit impulse input is.

Consider the following statements regarding linear discrete-time system. z2 +1 H(Z) -(z+ 0.5)(z- 0.5) The system is stable. The initial value h(0) of the impulse response is -4. The steady state output is zero for a sinusoidal discrete-time input of frequency equal to one-fourth the sampling frequency. Which of these statements are correct?

The discrete time system described by y(n) = x(n2) is

The impulse response hIn] of a linear time-invariant system is given by h[n] = u[n + 31 + uln - 21 - 2uln - 7] where ulnl is the unit step sequence. The above system is

The z-transform of a system is H(z) =z-0.2 If the ROC is Izi <0.2, then the impulse response of the system is

A causal LTI system is described by the difference equation 2yInl = ayin -21- 2)01 + f3x1n - 11 The system is stable only if

The impulse response hinj of a linear time invariant system is given as -2J n = 1, -1 4.5 n = 2, -2 0,otherwise If the input to the above system is the sequence OR", then the output is

Match the following and choose the correct combination. E continuous and aperiodic signal F. continuous and periodic signal G Discrete and aperiodic signal H. Discrete and periodic signal Group 2 1. Fourier representation is continuous and aperiodic 2. Fourier representation is discrete and aperiodic 3. Fourier representation is continuous and periodic 4. Fouriere representation is discrete and periodic

A signal x(n) = sin(coon + (1)) is the input to a linear time-inveriant system having a frequency response H (en. If the output of the system Ax(n - ii0), then the most general form of LH(e) will be