Q. For an LTI system, the convolution of the input to the system with its imbulse response gives:
Solution:
By linearity we know that the output will simply be the sum of two of the system’s impulse responses, each with the unique time shift applied to the impulses. The convolution is to recognize that any input signal can be broken down into a summation of impulses of varying amplitudes. So the output is simply a summation of scaled versions of the impulse response! Take a look at the expression for convolution, that’s all that’s happening
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