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. 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. Learn how to derive and interpret the convolution sum and integral for linear, time-invariant discrete-time and continuous-time systems. See examples, graphs, and comparisons of the two forms of convolution.
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