Convolution

Convolution is used to find out the output of an LTI system.If the response of the system to the impulse signal is known(h(t) or h(n)),then the response to any other input to the system can be found out by convolving the input signal with impulse response.

Convolution is a very important process in analog as well as Digital signal,time signal or frequency signal.it gives us what will happen if two signals are shifted and mixed together.

In this experiment, we found out the linear convolution of two signals and concluded that the output signal has the legth equal to one less than the sum of length of two input signals. Also, if both the input signals are casual then the LC output is also causal.

While finding CC, the value of N is selected as the maximum of the two input signals. Zero padding is done in CC to make the signals with length equal. To find LC using CC, we select length of output signal as one less than the sum of length of two input signals.

We made the following conclusions from the experiment

length of linear convolution output signal = L+M-1

length of circular convolution = max(L,M)

Circular convolution results in aliased outputs.