Border recovery for subband processing of finite-length signals. Application to time-varying filter banks

François Déprez; Olivier Rioul; Pierre Duhamel

doi:10.1109/ICASSP.1994.390072

Border recovery for subband processing of finite-length signals. Application to time-varying filter banks

François Déprez, Olivier Rioul, Pierre Duhamel

Research output: Contribution to journal › Conference article › peer-review

Abstract

In the context of subband processing of finite-length signals using FIR filter banks, a new technique is derived for achieving exact reconstruction when subband signals are truncated to the same number of samples as the original signal. Using a delayed truncation method in the subbands, it is shown that the missing samples can be recovered exactly by inverting small linear systems. Our approach also applies to time-varying filter banks or wavelet transforms where filters are switched between consecutive input blocks.

Original language	English
Article number	390072
Pages (from-to)	III133-III136
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	3
DOIs	https://doi.org/10.1109/ICASSP.1994.390072
Publication status	Published - 1 Jan 1994
Externally published	Yes
Event	Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust Duration: 19 Apr 1994 → 22 Apr 1994

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10.1109/ICASSP.1994.390072

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title = "Border recovery for subband processing of finite-length signals. Application to time-varying filter banks",

abstract = "In the context of subband processing of finite-length signals using FIR filter banks, a new technique is derived for achieving exact reconstruction when subband signals are truncated to the same number of samples as the original signal. Using a delayed truncation method in the subbands, it is shown that the missing samples can be recovered exactly by inverting small linear systems. Our approach also applies to time-varying filter banks or wavelet transforms where filters are switched between consecutive input blocks.",

author = "Fran{\c c}ois D{\'e}prez and Olivier Rioul and Pierre Duhamel",

note = "Publisher Copyright: {\textcopyright} 1994 IEEE.; Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) ; Conference date: 19-04-1994 Through 22-04-1994",

year = "1994",

month = jan,

day = "1",

doi = "10.1109/ICASSP.1994.390072",

language = "English",

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

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Border recovery for subband processing of finite-length signals. Application to time-varying filter banks. / Déprez, François; Rioul, Olivier; Duhamel, Pierre.
In: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Vol. 3, 390072, 01.01.1994, p. III133-III136.

Research output: Contribution to journal › Conference article › peer-review

TY - JOUR

T1 - Border recovery for subband processing of finite-length signals. Application to time-varying filter banks

AU - Déprez, François

AU - Rioul, Olivier

AU - Duhamel, Pierre

PY - 1994/1/1

Y1 - 1994/1/1

N2 - In the context of subband processing of finite-length signals using FIR filter banks, a new technique is derived for achieving exact reconstruction when subband signals are truncated to the same number of samples as the original signal. Using a delayed truncation method in the subbands, it is shown that the missing samples can be recovered exactly by inverting small linear systems. Our approach also applies to time-varying filter banks or wavelet transforms where filters are switched between consecutive input blocks.

AB - In the context of subband processing of finite-length signals using FIR filter banks, a new technique is derived for achieving exact reconstruction when subband signals are truncated to the same number of samples as the original signal. Using a delayed truncation method in the subbands, it is shown that the missing samples can be recovered exactly by inverting small linear systems. Our approach also applies to time-varying filter banks or wavelet transforms where filters are switched between consecutive input blocks.

U2 - 10.1109/ICASSP.1994.390072

DO - 10.1109/ICASSP.1994.390072

M3 - Conference article

AN - SCOPUS:85029510804

SN - 1520-6149

VL - 3

SP - III133-III136

JO - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

JF - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

M1 - 390072

T2 - Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6)

Y2 - 19 April 1994 through 22 April 1994

ER -

Border recovery for subband processing of finite-length signals. Application to time-varying filter banks

Abstract

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