Spectral

Spectral leakage from mathematical point of view

Spectral leakage from mathematical point of view
  1. What is meant by spectral leakage?
  2. What is spectral leakage caused by?
  3. What is spectral leakage and how it can be reduced?
  4. What causes spectral leakage in FFT?

What is meant by spectral leakage?

Leakage, more explicitly called spectral leakage, is a smearing of power across a frequency spectrum that occurs when the signal being measured is not periodic in the sample interval.

What is spectral leakage caused by?

Spectral leakage results from an assumption in the fast Fourier transform (FFT) and discrete Fourier transform (DFT) algorithms that the time record exactly repeats throughout all time. Thus, signals in a time record are periodic at intervals that correspond to the length of the time record.

What is spectral leakage and how it can be reduced?

--> This phenomenon of leaking energy from peak value to other samples is called Spectral leakage. --> This reduction in energy from main lobe is called scalloping loss. Spectral leakage cannot be eliminated but it can be reduced by using proper windowing technique before applying FFT. Cite.

What causes spectral leakage in FFT?

Spectral leakage due to FFT is caused by: mismatch between desired tone and chosen frequency resolution, time limiting an observation. Understand the concept using hands-on examples.

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