To find Linear Convolution using Circular Convolution Assume L is the length of first input signal and. M is the length of second input signal.What should be the value of N ?Select one:N = L + M N = MAX(L,M)N >= L + M -1
Question
To find Linear Convolution using Circular Convolution Assume L is the length of first input signal and. M is the length of second input signal.What should be the value of N ?Select one:N = L + M N = MAX(L,M)N >= L + M -1
Solution
The correct answer is N >= L + M - 1.
Here's why:
Linear convolution of two sequences of length L and M will result in a sequence of length L + M - 1.
In order to find the linear convolution using circular convolution (also known as circular-to-linear convolution), we need to make sure that the circular convolution does not result in time aliasing. Time aliasing in circular convolution occurs when the length of the circular convolution (N) is less than L + M - 1.
Therefore, to avoid time aliasing and correctly compute the linear convolution using circular convolution, we need to choose N such that N >= L + M - 1.
This ensures that the result of the circular convolution is the same as the result of the linear convolution.
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