Convolution Sum [closed]

1. What is the convolution sum?
2. What is convolution sum in DSP?
3. Is convolution distributive over addition?

What is the convolution sum?

Convolution sum and product of polynomials— The convolution sum is a fast way to find the coefficients of the polynomial resulting from the multiplication of two polynomials. From: Signals and Systems Using MATLAB (Third Edition), 2019.

What is convolution sum in DSP?

Convolution is a mathematical way of combining two signals to form a third signal. It is the single most important technique in Digital Signal Processing. Using the strategy of impulse decomposition, systems are described by a signal called the impulse response.

Is convolution distributive over addition?

The operation of convolution is distributive over the operation of addition. That is, for all continuous time signals x1, x2, x3 the following relationship holds.