Improvement and application of PSD and PWELCH
Ding Jun-qiang
Abstract
Ding Jun-qiang
Abstract
Because the results calculated by PSD are quit different from those by PWELCH,the source code is analyzed in detail for these two functions which are used to calculate the power spectrum density in Matlab.On the basis of the theory of power spectrum density estimation,it is found with classical cyclic periodogram and Welch average periodogram what function PSD calculates actually is not power spectrum density used on engineering but double-edge spectrum of collected signals.That is reason for the phenomena mentioned at the beginning of the article.On the other hand,segmental signal can not be pre-processed by function PWELCH.Some ways are proposed to improve those issues,and these actions are proved be effective.
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Because the results calculated by PSD are quit different from those by PWELCH,the source code is analyzed in detail for these two functions which are used to calculate the power spectrum density in Matlab.On the basis of the theory of power spectrum density estimation,it is found with classical cyclic periodogram and Welch average periodogram what function PSD calculates actually is not power spectrum density used on engineering but double-edge spectrum of collected signals.That is reason for the phenomena mentioned at the beginning of the article.On the other hand,segmental signal can not be pre-processed by function PWELCH.Some ways are proposed to improve those issues,and these actions are proved be effective.
Key concepts: Spectral density, Periodogram, Spectrum (functional analysis), MATLAB, Function (biology), Power (physics), SIGNAL (programming language), Basis (linear algebra)