Physical Significance of Convolution
Convolution is an operation that takes input signal, and return output signal based on knowledge about the system’s unit impulse response. For a continuous 1-dimensional system, System response (Output) is convolution of input signal and impulse response of the system. 1-d Convolution is defined like this.. where x(t) is input signal, y(t) is output signal and h(t) is impulse response. See this self elaborating example of convolution for physical significance…. The physical significance can be better understand by 2-d convolution. As we know that an image is nothing but a 2 -dimensional function and can be represented as a matrix. Here, second matrix is impulse response. Generally we don’t see such clear-cut pattern due to overlapping of values. Thanks for reading and your suggestions!