This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “The Z-transform Analysis of Sampled-Data Control Systems”.

1. The system having input x (n) related to output y(n) as y (n) = log |x (n)| is:

a) Nonlinear, causal, stable

b) Linear, noncausal, stable

c) Nonlinear, causal, not stable

d) Linear, noncausal, not stable

2. Zero-order hold used in practical reconstruction of continuous-time signals is mathematically represented as a weighted-sum of rectangular pulses shifted by:

a) Any multiples of the sampling interval

b) Integer multiples of the sampling interval

c) One sampling interval

d) 1 second intervals

3. The DFT of a signal x(n) of length N is X(k). When X(k) is given and x(n) is computed from it, the length of x(n)

a) Is increased to infinity

b) Remains N

c) Becomes 2N – 1

d) Becomes N2

4. When two honest coins are simultaneously tossed, the probability of two heads on any given trial is:

a) 1

b) 3/4

c) 1/2

d) ¼

5. If the Fourier series coefficients of a signal are periodic then the signal must be

a) Continuous-time, periodic

b) Discrete-time, periodic

c) Continuous-time, non-periodic

d) Discrete-time, non-periodic

6. The probability cumulative distribution function must be monotone and

a) Increasing

b) Decreasing

c) Non-increasing

d) Non-decreasing

7. A continuous-time periodic signal x(t), having a period T, is convolved with itself. The resulting signal is

a) Not periodic

b) Periodic having a period T

c) Periodic having a period 2T

d) Periodic having a period T/2

8. The region of convergence of a causal finite duration discrete-time signal is

a) The entire z-plane except z = 0

b) The entire z-plane except z = ∞

c) The entire z-plane

d) A strip in z-plane enclosing jω–axis

9. Convolution is used to find:

a) The impulse response of an LTI System

b) Frequency response of a System

c) The time response of a LTI system

d) The phase response of a LTI system

10. The Fourier Transform of a rectangular pulse is

a) Another rectangular pulse

b) Triangular pulse

c) Sinc function

d) Impulse