GATE EC 2017 Set 1 — Question 32
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Question
Two discrete-time signals and are both non-zero only for , and are zero otherwise. It is given thatLet be the linear convolution of and . Given that and , the value of the expression is ________.
Correct answer
31 to 31
Solution
Given that and are non-zero only for , we have:
for
for , with .The linear convolution is given by:
Using the given values:
Now, we calculate and :
The value of the expression is:
.
for
for , with .The linear convolution is given by:
Using the given values:
Now, we calculate and :
The value of the expression is:
.
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