Convolution : Impulse Response Representation for LTI Systems – 1

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This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Convolution : Impulse Response Representation for LTI Systems – 1″.

1. Which of the following is correct regarding to impulse signal?
a) x[n]δ[n] = x[0]δ[n]
b) x[n]δ[n] = δ[n]
c) x[n]δ[n] = x[n]
d) x[n]δ[n] = x[0]

2. Weighted superposition of time-shifted impulse responses is termed as _______ for discrete-time signals.
a) Convolution integral
b) Convolution multiple
c) Convolution sum
d) Convolution

3. Impulse response is the output of ______ system due to impulse input applied at time=0?
a) Linear
b) Time varying
c) Time invariant
d) Linear and time invariant

4. Which of the following is a correct expression for Impulse response?

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q4

a)

b)

c)

d)

5. Determine the output of LTI system to 

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q6a

a)

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q6b

 b) 

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q6c

c) 

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q6d

d) 

6. Find the convolution sum of sequence x1[n] = {1, 2, 3} and 

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q8

a)

b)

c)

d)

7. Determine the output of a LTI system, 

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q5a

a) 

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q5b

b)

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q5c

 c) 

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q5d

d) 

8. Find the convolution sum of sequences x1[n] = (1, 2, 3) and x2[n] = (2, 1, 4).
a) {2, 5, 12, 11, 12}
b) {2, 12, 5, 11, 12}
c) {2, 11, 5, 12, 12}
d) {-2, 5,-12, 11, 12}

9. Determine the output of LTI with input x[n] =2δ(n)-δ(n-1) and h[n] given as below.

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q9

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q9a

a)

b)

c)

d)

10. Consider h [n] as in figure 1 and x[n] = u[n] – u [n-3], determine the output y [n] of the LTI system?

signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q9


signals-systems-questions-answers-convolution-impulse-response-representation-lti-systems-1-q10

a)

b)

c)

d)

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