Saturday, August 11, 2018

image processing - Why unit impulse function is used to find impulse response of an LTI system?


Hello i am working in digital image restoration field, recently i have studied concept of convolution, i studied that to find the impulse response/point-spread function of an LTI system, an unit impulse function is passed from the system and its output is considered as impulse response, My question is that, Why an unit impulse function is used to find the impulse response of any LTI system, what is the mathematical and practical reason behind it.



Answer



I'm not really sure what you're asking. A unit impulse is used as the input to find a system's impulse response because, by definition, an LTI system's impulse response is equal to its output for a unit impulse input. If you used any other input, then the output wouldn't be an impulse response.


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