The nature of convolution

First of all, the feature of convolution is the operation of two major functions, and the operation method is integral

One: Three properties of convolution algebra: 1. Commutative law 2. Distributive law 3. Associative law

Two: Integral-differential characteristics: the derivative of two functions after convolution is the derivative of any one of them

        The integral after convolution of two functions is the integral of any one of them

Three: Convolution of step and impulse: the convolution of the function and the impulse function is the function itself

           According to the characteristic of calculus, it is not difficult to obtain the convolution property for the unit step signal

 

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