MATLAB Code Implementation of Convolution Operation

Convolution operation is a fundamental signal processing technique used to describe the relationship between two signals. In this implementation, we consider signals x(t) and h(t) with lengths nx and nh respectively. The convolution requires a total shift length of n=nh+nx-1 to perform reverse-order summation. The algorithm employs nested for-loops and conditional statements to iterate through each signal point. The outer for-loop controls the shifting operation by moving through the convolution length, while the inner summation implements reverse-order calculation through careful array indexing. This approach efficiently handles element-wise multiplication and accumulation by accessing array elements in reverse sequence during summation. The implementation demonstrates how to properly manage array boundaries using conditional checks to prevent index out-of-range errors. Through this method, we can effectively compute convolution results for signal processing applications.