Mathematical justification for zero padding?

1. Why do you need zero padding?
2. Why should I zero pad a signal before taking the Fourier transform?
3. How to do zero padding in matlab?
4. What is zero padding in convolution?

Why do you need zero padding?

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.

Why should I zero pad a signal before taking the Fourier transform?

Zero padding allows one to use a longer FFT, which will produce a longer FFT result vector. A longer FFT result has more frequency bins that are more closely spaced in frequency.

How to do zero padding in matlab?

Zero-padding means that you append an array of zeros to the end of your input signal before you fft it. Luckily, the fft command within Matlab makes it very easy to zero-pad.

What is zero padding in convolution?

In convolutional neural networks, zero-padding refers to surrounding a matrix with zeroes. This can help preserve features that exist at the edges of the original matrix and control the size of the output feature map.