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What is periodic convolution?

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in Signals and Systems by (1.2m points)
What is periodic convolution?

(a) Continuous type superposition

(b) Periodic type summation

(c) Discrete type addition

(d) Summation of both continuous and periodic type

I have been asked this question in an online quiz.

Query is from Continuous Time Convolution topic in division Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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Correct option is (b) Periodic type summation

Easy explanation: When a function g is periodic, with period T, then for functions, f, such that f∗g exists, the convolution is also periodic. This is called a periodic convolution.

Example: f*g=∫∑[f(e+kT)]g(t-e).

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