Analysis Method of Nonstationary Waveforms Based on a Modulation Model

Yumi TAKIZAWA; Atsushi FUKASAWA

Analysis Method of Nonstationary Waveforms Based on a Modulation Model

Yumi TAKIZAWA, Atsushi FUKASAWA

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An analysis method is proposed for nonstationary waveforms. Modelling of a nonstationary waveform is first given in this paper. A waveform is represented by multiple oscillations. The instantaneous phase angle of each oscillation is written by three terms, predictive component, residual component, and initial phase constant. By this modelling, waveform analysis results in estimations of frequency, calculation of residual pbase in instantaneous phase angle. The Instantaneous Maximum Entropy Methods (IMEN) is utilized for frequency estimation. The residual phase angle is obtained by the Vandermonde matrix and the condition of continuity of phase angle among n-neighbourhood. Another analysis method is also proposed by the normalization of waveform parameters. The evaluation of the proposed method is done using artificially composed waveform signals. Novel and useful knowledge was provided by this analysis.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.6 pp.951-957

Publication Date: 1997/06/25

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Type of Manuscript: Special Section PAPER (Special Section on Signal Processing Theories and Applications Based on Modelling of Nonstationary Processes)

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Yumi TAKIZAWA, Atsushi FUKASAWA, "Analysis Method of Nonstationary Waveforms Based on a Modulation Model" in IEICE TRANSACTIONS on Fundamentals, vol. E80-A, no. 6, pp. 951-957, June 1997, doi: .
Abstract: An analysis method is proposed for nonstationary waveforms. Modelling of a nonstationary waveform is first given in this paper. A waveform is represented by multiple oscillations. The instantaneous phase angle of each oscillation is written by three terms, predictive component, residual component, and initial phase constant. By this modelling, waveform analysis results in estimations of frequency, calculation of residual pbase in instantaneous phase angle. The Instantaneous Maximum Entropy Methods (IMEN) is utilized for frequency estimation. The residual phase angle is obtained by the Vandermonde matrix and the condition of continuity of phase angle among n-neighbourhood. Another analysis method is also proposed by the normalization of waveform parameters. The evaluation of the proposed method is done using artificially composed waveform signals. Novel and useful knowledge was provided by this analysis.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e80-a_6_951/_p

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@ARTICLE{e80-a_6_951,
author={Yumi TAKIZAWA, Atsushi FUKASAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis Method of Nonstationary Waveforms Based on a Modulation Model},
year={1997},
volume={E80-A},
number={6},
pages={951-957},
abstract={An analysis method is proposed for nonstationary waveforms. Modelling of a nonstationary waveform is first given in this paper. A waveform is represented by multiple oscillations. The instantaneous phase angle of each oscillation is written by three terms, predictive component, residual component, and initial phase constant. By this modelling, waveform analysis results in estimations of frequency, calculation of residual pbase in instantaneous phase angle. The Instantaneous Maximum Entropy Methods (IMEN) is utilized for frequency estimation. The residual phase angle is obtained by the Vandermonde matrix and the condition of continuity of phase angle among n-neighbourhood. Another analysis method is also proposed by the normalization of waveform parameters. The evaluation of the proposed method is done using artificially composed waveform signals. Novel and useful knowledge was provided by this analysis.},
keywords={},
doi={},
ISSN={},
month={June},}

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TY - JOUR
TI - Analysis Method of Nonstationary Waveforms Based on a Modulation Model
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 951
EP - 957
AU - Yumi TAKIZAWA
AU - Atsushi FUKASAWA
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1997
AB - An analysis method is proposed for nonstationary waveforms. Modelling of a nonstationary waveform is first given in this paper. A waveform is represented by multiple oscillations. The instantaneous phase angle of each oscillation is written by three terms, predictive component, residual component, and initial phase constant. By this modelling, waveform analysis results in estimations of frequency, calculation of residual pbase in instantaneous phase angle. The Instantaneous Maximum Entropy Methods (IMEN) is utilized for frequency estimation. The residual phase angle is obtained by the Vandermonde matrix and the condition of continuity of phase angle among n-neighbourhood. Another analysis method is also proposed by the normalization of waveform parameters. The evaluation of the proposed method is done using artificially composed waveform signals. Novel and useful knowledge was provided by this analysis.
ER -