Signals and Systems - Online Test
Q1. 
Given the finite length input x[n] and the corresponding finite length output y[n] of an LTI system as shown below, the impulse response h[n] of the system is
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. The system ẋ = Ax + Bu with 
is
is
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. 
Given f(t) and g(t) as shown below:
g(t) can be expressed as
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. Given f(t) and g(t) as shown below:
The Laplace transform of g(t) is
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. The two inputs of a CRO are fed with two stationary periodic signals. In the X-Y mode, the screen shows a figure which changes from ellipse to circle and back to ellipse with its major axis changing orientation slowly and repeatedly. The following inference can be made from this.
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. A Linear Time Invariant system with an impulse response h(t) produces output y(t)
when input x(t) is applied. When the input x (t−τ) is applied to a system with impulse
response h(t − τ), the output will be
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. If the Laplace transform of a signal 
then its final value is
then its final value is
Answer : Option D
Explaination / Solution:
Final value theorem is applicable only when all poles of system lies in left half of S -plane. Here s = 1 is right s −plane pole. Thus it is unbounded.
Q8. Three functions f(t), f2(t) and f3(t) which are zero outside the interval [0, T] are
shown in the figure. Which of the following statements is correct?
Answer : Option C
Explaination / Solution:
For two orthogonal signal f (x) and g(x)
i.e. common area between f x and g x is zero.
Q9. The 3-dB bandwidth of the low-pass signal e-t u(t), where u(t) is the unit step
function, is given by
Answer : Option A
Explaination / Solution:
Q10. A Hilbert transformer is a
Answer : Option A
Explaination / Solution:
No Explaination.
