2
$\begingroup$

In the Welch's method, a signal is divided into overlapping segments, multiplied with a window function, and transformed to frequency domain via fourier transform.

Why does the method use only one window function? Suppose I would use (say) ten window functions to produce ten spectral estimates. By averaging the estimates, my SNR would be higher than by using just one of the windows?

$\endgroup$
  • $\begingroup$ Is my understanding correct that you want to apply more than one window function to the same frame of signal??? $\endgroup$ – jojek Oct 11 '15 at 15:40
3
$\begingroup$

Congratulations! Sounds like you are about to reinvent the multitaper method, in which a number of orthogonal window functions are used to get independent spectral estimates that are then averaged (with weights). A suitable window function family are the Slepian sequences:

Slepian window functions

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.