Select Page
Generic selectors
Exact matches only
Search in title
Search in content
Search in posts
Search in pages
Filter by Categories
nmims post
Objective Type Set
Online MCQ Assignment
Question Solution
Solved Question
Uncategorized

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 [Reason:] 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 [Reason:] 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 [Reason:] 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 [Reason:] 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 [Reason:] 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 [Reason:] 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 [Reason:] 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)

Answer: d [Reason:] Divide it into 2 sectors and apply the convolution formula.

9. Find the value of d(t-34)*x(t+56), d(t) being the delta function.
a) x(t + 56)
b) x(t + 32)
c) x(t + 22)
d) x(t – 22)

Answer: c [Reason:] Convolution of a function with a delta function shifts accordingly.

10. Find x(t)*u(t)
a) tx(t)
b) t2x(t)
c) \$x(t2)
d) \$x(t)