# The Z- and S-Domain Relationship MCQ’s

This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “The Z- and S-Domain Relationship”.

1. The FT of a rectangular pulse existing between t = − T 2/ to t = T / 2 is a
a) Sinc squared function
b) Sinc function
c) Sine squared function
d) Sine function

2. The system characterized by the equation y(t) = ax(t) + b is
a) Linear for any value of b
b) Linear if b > 0
c) Linear if b < 0
d) Non-linear

3. The auto-correlation function of a rectangular pulse of duration T is
a) A rectangular pulse of duration T
b) A rectangular pulse of duration 2T
c) A triangular pulse of duration T
d) A triangular pulse of duration 2T

4. The continuous time system described by 2 y(t) = x (t2) is
a) Causal, linear and time varying
b) Causal, non-linear and time varying
c) Non causal, non-linear and time-invariant
d) Non causal, linear and time-invariant

5. If a periodic function f(t) of period T satisfies f(t) = −f (t + T/2) , then in its Fourier series expansion
a) The constant term will be zero
b) There will be no cosine terms
c) There will be no sine terms
d) There will be no even harmonics

6. The order of a linear constant-coefficient differential equation representing a system refers to the number of
a) Active devices
b) Elements including sources
c) Passive devices
d) None of the mentioned

7. If G( f) represents the Fourier Transform of a signal g (t) which is real and odd symmetric in time, then G (f) is
a) Complex
b) Imaginary
c) Real
d) Real and non-negative

8. Given a unit step function u (t), its time-derivative is:
a) A unit impulse
b) Another step function
c) A unit ramp function
d) A sine function

9. Z-transform converts convolution of time-signals to