250+ TOP MCQs on Continuous Time Convolution – 1 and Answers

Signals & Systems Multiple Choice Questions on “Continuous Time Convolution – 1”.

For all the following questions, ‘*’ indicates convolution. $ indicates integral

1. Find the value of h[n]*d[n-1], d[n] being the delta function.
A. h[n-2].
B. h[n].
C. h[n-1].
D. h[n+1].
Answer: C
Clarification: Convolution of a function with a delta function shifts accordingly.

2. Evaluate (exp(-at)u(t))*u(t), u(t) being the heaviside function.
A. (1-exp(at)) u(t)/a
B. (1-exp(at)) u(-t)/a
C. (1-exp(-at)) u(t)/a
D. (1+exp(-at)) u(t)/a
Answer: C
Clarification: Use the convolution formula.

3. Find the value of h[n]*d[n-5], d[n] being the delta function.
A. h[n-2].
B. h[n-5].
C. h[n-4].
D. h[n+5].
Answer: B
Clarification: Convolution of a function with a delta function shifts accordingly.

4. Evaluate (exp(-4t)u(t))*u(t), u(t) being the heaviside function.
A. (1-exp(4t)) u(t)/a
B. (1-exp(-4t)) u(t)/a
C. (1-exp(=4t)) u(t)/a
D. (1+exp(-4t)) u(t)/a
Answer: B
Clarification: Use the convolution formula.

5. Find the value of h[n-1]*d[n-1], d[n] being the delta function.
A. h[n-2].
B. h[n].
C. h[n-1].
D. h[n+1].
Answer: A
Clarification: Convolution of a function with a delta function shifts accordingly.

6. Find the convolution of x(t) = exp(2t)u(-t), and h(t) = u(t-3)
A. 0.5exp(2t-6) u(-t+3) + 0.5u(t-3)
B. 0.5exp(2t-3) u(-t+3) + 0.8u(t-3)
C. 0.5exp(2t-6) u(-t+3) + 0.5u(t-6)
D. 0.5exp(2t-6) u(-t+3) + 0.8u(t-3)
Answer: A
Clarification: Divide it into 2 sectors and apply the convolution formula.

7. Find the value of h[n]*d[n+1], d[n] being the delta function.
A. h[n-2].
B. h[n].
C. h[n-1].
D. h[n+1].
Answer: D
Clarification: Convolution of a function with a delta function shifts accordingly.

8. Find the convolution of x(t) = exp(3t)u(-t), and h(t) = u(t-3)
A. 0.33exp(2t-6) u(-t+3) + 0.5u(t-3)
B. 0.5exp(4t-3) u(-t+3) + 0.8u(t-3)
C. 0.33exp(2t-6) u(-t+3) + 0.5u(t-6)
D. 0.33exp(3t-6) u(-t+3) + 0.33u(t-3)