Presentation 2010-11-18
Temporally static representation of phase related quantity for periodic signals
Hideki KAWAHARA, Masanori MORISE, Toshio IRINO,
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Abstract(in English) An averaged power spectrum, which is calculated from two power spectra using two time windows a half pitch-period apart, does not depend on the relative phase between the analyzed signal and the windows. This article introduces a procedure to calculate instantaneous frequency, which yields temporally static representation of the instantaneous frequency of periodic signals. The proposed method is derived from the famous Flanagan's equation. Specifically, a power weighted average of instantaneous frequencies, which are calculated using the Flanagan's equation, yields this temporally static representation. A proof of the independence of the proposed representation on the relative phase between the analyzed signal and the windows is presented assuming weak conditions on the windowing function. Performance evaluation tests are conducted for popular windowing functions and their results are discussed.
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Keyword(in English) TANDEM windowing / instantaneous frequency / Flanagan's equation / periodic signals
Paper # SP2010-77
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Conference Date 2010/11/11(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Temporally static representation of phase related quantity for periodic signals
Sub Title (in English)
Keyword(1) TANDEM windowing
Keyword(2) instantaneous frequency
Keyword(3) Flanagan's equation
Keyword(4) periodic signals
1st Author's Name Hideki KAWAHARA
1st Author's Affiliation Faculty of Systems Engineering, Wakayama University()
2nd Author's Name Masanori MORISE
2nd Author's Affiliation College of Information Science and Engineering, Ritsumeikan University
3rd Author's Name Toshio IRINO
3rd Author's Affiliation Faculty of Systems Engineering, Wakayama University
Date 2010-11-18
Paper # SP2010-77
Volume (vol) vol.110
Number (no) 297
Page pp.pp.-
#Pages 5
Date of Issue