GATE EC 2014 Set 2 — Question 53
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Question
Consider a discrete-time signal If is the convolution of with itself, the value of is _________.
Correct answer
9.9 to 10.1
Solution
The convolution of two discrete-time signals and is defined as:Given , the convolution becomes:We are given:To find , we evaluate the summation for :Since for and for (which means ), the summation limits are effectively from to :Substituting the values :Thus, the value of is 10.
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