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Optimal Multitaper Wigner Spectrum Estimation of a Class of Locally Stationary Processes Using Hermite Functions

Författare:
Publiceringsår: 2011
Språk: Engelska
Publikation/Tidskrift/Serie: EURASIP Journal on Advances in Signal Processing
Dokumenttyp: Artikel
Förlag: Hindawi Publishing Corporation

Sammanfattning

This paper investigates the time-discrete multitapers that give a mean square error optimal Wigner spectrum estimate for a class of locally stationary processes (LSPs). The accuracy in the estimation of the time-variable Wigner spectrum of the LSP is evaluated and compared with other frequently used methods. The optimal multitapers are also approximated by Hermite functions, which is computationally more efficient, and the errors introduced by this approximation are studied. Additionally, the number of windows included in a multitaper spectrum estimate is often crucial and an investigation of the error caused by limiting this number is made. Finally, the same optimal set of weights can be stored and utilized for different window lengths. As a result, the optimal multitapers are shown to be well approximated by Hermite functions, and a limited number of windows can be used for a mean square error optimal spectrogram estimate.

Disputation

Nyckelord

  • Mathematics and Statistics

Övriga

Published
Yes
  • Stochastics in Medicine
  • Statistical Signal Processing
  • ISSN: 1687-6172

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