In this experiment, we performed linear convolution, circular convolution and linear convolution by circular convolution and both using FFT.
In circular convolution, we observed that the output signal was just the addition of elements of the linear convolution output. We can see that the linear convolution signal was overlapped to give circular convolution output. This is aliasing.
Therefore, we made the following conclusions from the above experiment:
● Length of linear convolution output signal= L+M-1
● Length of circular convolution=Max(L,M)
● Circular convolution gives aliased output
In circular convolution, we observed that the output signal was just the addition of elements of the linear convolution output. We can see that the linear convolution signal was overlapped to give circular convolution output. This is aliasing.
Therefore, we made the following conclusions from the above experiment:
● Length of linear convolution output signal= L+M-1
● Length of circular convolution=Max(L,M)
● Circular convolution gives aliased output
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