# The Z-transform Analysis of Sampled-Data Control Systems MCQ’s

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