The convolution of ƒ and g is written ƒ∗g, using an asterisk or star. It is defined as the integral of the product of the two functions after one is reversed and shifted. As such, it is a particular kind of integral transform:
While the symbol t is used above, it need not represent the time domain. But in that context, the convolution formula can be described as a weighted average of the function ƒ(τ) at the moment t where the weighting is given by g(−τ) simply shifted by amount t. As t changes, the weighting function emphasizes different parts of the input function.
More generally, if f and g are complex-valued functions on Rd, then their convolution may be defined as the integral:
- In Digital Signal Processing where convolution is done between two discrete signals the procedure followed is :
- There are different methods used in finding convolution (refer Signals And Systems by Openheim for more details on each method). Here i will demonstrate a C program that uses the matrix method to find convolution.
- The CODE
- /* Vineeth Kartha
Program To Find Convolution
Released Under GPL */
printf(“\n\tThis program finds the convolution of a signal and its Impulse response\n”);
printf(“enter the number of elements in x[n]:\t”);
printf(“enter the elements of x[n]:\n”);
printf(“enter the number of elements in h[n]:\t”);
printf(“enter the elements of h[n]:\n”);
8 thoughts on “A C Program to Find Convolution of Two Signals”
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Why this code didn’t work? I have a lot of mistakes during compilations
Please post the errors you got so that I can help you
Many errors of this type: “convolve.c:4:1: error: stray ‘\342’ in program”