Is zero-padding necessary for speech processing to satisfy linear convolution property?

1. What is the need of zero padding in linear convolution?
2. Is zero padding is mandatory for both linear and circular convolution?
3. Why is zero padding needed?
4. What does zero padding do while solving linear convolution using circular convolution?

What is the need of zero padding in linear convolution?

Zero padding enables the use of a longer FFT, resulting in a larger FFT result vector. The frequency bins of a lengthier FFT result are more closely spaced in frequency. It can quickly compute linear convolutions using the FFT. It's used to make the FFT bigger for a power of two.

Is zero padding is mandatory for both linear and circular convolution?

The linear convolution of an N-point vector, x , and an L-point vector, y , has length N + L - 1. For the circular convolution of x and y to be equivalent, you must pad the vectors with zeros to length at least N + L - 1 before you take the DFT.

Why is zero padding needed?

Zero padding enables you to obtain more accurate amplitude estimates of resolvable signal components. On the other hand, zero padding does not improve the spectral (frequency) resolution of the DFT. The resolution is determined by the number of samples and the sample rate.

What does zero padding do while solving linear convolution using circular convolution?

what does zero padding do while solving linear convulation using circular convulation? Zero-padding avoids time-domain aliasing and make the circular convolution behave like linear convolution.