The convolution sum is a mathematical operation that combines two discrete signals to produce a third signal, reflecting how the shape of one signal is modified by the other. This operation is essential for analyzing and understanding the behavior of linear time-invariant systems, as it describes how input signals are transformed into output signals. The convolution sum is defined mathematically as the summation of the product of the input signal and a time-reversed and shifted version of the impulse response of the system.
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