A tapered SVD without rank determination for estimation of multipulse input time series from noisy output

Hiroshi Kanai; Kazuhiro Ikikame; Noriyoshi Chubachi

doi:10.1109/ICASSP.1994.389880

A tapered SVD without rank determination for estimation of multipulse input time series from noisy output

Hiroshi Kanai, Kazuhiro Ikikame, Noriyoshi Chubachi

ENG - Electronic Engineering

Research output: Contribution to journal › Conference article

Abstract

One of the key questions to be addressed in this paper is how to estimate the deterministic input multipulse time series from a noisy response of the resonant transfer system in the case where the SNR is low and the system Q(quality factor) of the transfer system is high. By generalizing the sharp truncation employed in the standard singular-value-decomposition(SVD), a tapering window is introduced to truncate high order non-significant singular values obtained by the SVD, the mean squared error of the estimates due to the standard SVD-based estimator is reduced to a minimum. This paper also presents a new method to design an optimum tapering window for estimating multipulse time series.

Original language	English
Article number	389880
Pages (from-to)	IV45-IV48
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	4
DOIs	https://doi.org/10.1109/ICASSP.1994.389880
Publication status	Published - 1994 Jan 1
Event	Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust Duration: 1994 Apr 19 → 1994 Apr 22

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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Kanai, H., Ikikame, K., & Chubachi, N. (1994). A tapered SVD without rank determination for estimation of multipulse input time series from noisy output. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 4, IV45-IV48. [389880]. https://doi.org/10.1109/ICASSP.1994.389880

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abstract = "One of the key questions to be addressed in this paper is how to estimate the deterministic input multipulse time series from a noisy response of the resonant transfer system in the case where the SNR is low and the system Q(quality factor) of the transfer system is high. By generalizing the sharp truncation employed in the standard singular-value-decomposition(SVD), a tapering window is introduced to truncate high order non-significant singular values obtained by the SVD, the mean squared error of the estimates due to the standard SVD-based estimator is reduced to a minimum. This paper also presents a new method to design an optimum tapering window for estimating multipulse time series.",

author = "Hiroshi Kanai and Kazuhiro Ikikame and Noriyoshi Chubachi",

year = "1994",

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doi = "10.1109/ICASSP.1994.389880",

language = "English",

volume = "4",

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journal = "Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing",

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AU - Ikikame, Kazuhiro

AU - Chubachi, Noriyoshi

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N2 - One of the key questions to be addressed in this paper is how to estimate the deterministic input multipulse time series from a noisy response of the resonant transfer system in the case where the SNR is low and the system Q(quality factor) of the transfer system is high. By generalizing the sharp truncation employed in the standard singular-value-decomposition(SVD), a tapering window is introduced to truncate high order non-significant singular values obtained by the SVD, the mean squared error of the estimates due to the standard SVD-based estimator is reduced to a minimum. This paper also presents a new method to design an optimum tapering window for estimating multipulse time series.

AB - One of the key questions to be addressed in this paper is how to estimate the deterministic input multipulse time series from a noisy response of the resonant transfer system in the case where the SNR is low and the system Q(quality factor) of the transfer system is high. By generalizing the sharp truncation employed in the standard singular-value-decomposition(SVD), a tapering window is introduced to truncate high order non-significant singular values obtained by the SVD, the mean squared error of the estimates due to the standard SVD-based estimator is reduced to a minimum. This paper also presents a new method to design an optimum tapering window for estimating multipulse time series.

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