Number

Analysing 2500 frequencies using FFT with an input vector of 2048 samples?

Analysing 2500 frequencies using FFT with an input vector of 2048 samples?
  1. What is the number of samples sample values that we usually choose for FFT?
  2. How do I know what size FFT to get?

What is the number of samples sample values that we usually choose for FFT?

The number of samples (N) in the FFT must be an integer power of 2. Therefore, N = 2p, where p is a positive integer. This rule minimizes the number of multiplications—and therefore the computation time—needed to compute the coefficients of the Fourier series.

How do I know what size FFT to get?

The frequency resolution is equal to the sampling frequency divided by FFT size. For example, an FFT of size 256 of a signal sampled at 8000Hz will have a frequency resolution of 31.25Hz. If the signal is a sine wave of 110 Hz, the ideal FFT would show a sharp peak at 110Hz.

Efficient way to calculate $n$ first elements of cross-correlation using FFT
How do you find cross-correlation with FFT?How to calculate cross-correlation?What is cross-correlation in frequency domain?What is the difference be...
Is this signal is perodic?
How do I know if a signal is periodic?Is this signal periodic or aperiodic?What is periodic and non-periodic signal? How do I know if a signal is pe...
Iir filter saturation problems
What is the disadvantage of IIR filter?What makes IIR filter unstable?How do I know if my IIR filter is stable?What is IIR filter advantages and disa...