Z & S Relationship MCQs : This section focuses on the "Z & S Relationship". These Multiple Choice Questions (MCQs) should be practiced to improve the Z & S Relationship skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.
Question 1
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
Question 2
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
Question 3
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
Question 4
Region of convergence of a causal LTI system
A. Is the entire s-plane
B. Is the right-half of s-plane
C. Is the left-half of s-plane
D. Does not exist
Question 5
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
Question 6
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
Question 7
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
Question 8
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
Question 9
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
Question 10
Z-transform converts convolution of time-signals to
A. Addition
B. Subtraction
C. Multiplication
D. Division