Web Reference: If μ and ν are probability measures on the topological group (R,+), then the convolution μ ∗ ν is the probability distribution of the sum X + Y of two independent random variables X and Y whose respective distributions are μ and ν. The sifting property of the discrete time impulse function tells us that the input signal to a system can be represented as a sum of scaled and shifted unit impulses. Thus, by linearity, it would seem reasonable to compute of the output signal as the sum of scaled and shifted unit impulse responses. In implementing discrete-time LSI systems, we need to compute the convolution sum, otherwise called linear convolution, of the input signal x [n] and the impulse response h [n] of the system.
YouTube Excerpt: Learn about the discrete-time

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