Statistical optimization of PR-QMF banks and wavelets

A. Mertins

doi:10.1109/ICASSP.1994.390077

Statistical optimization of PR-QMF banks and wavelets

Institute of Signal Processing

Abstract

The design of optimal power complementary filters for multiresolution signal decomposition is considered. As a new performance measure in statistical optimization of filter banks the norm of cross-correlation (all subbands including all delays) will be used for optimization. The obtained filters will be compared to filters having minimum reconstruction error when the high-pass branches are dropped. In the paraunitary case, which is considered here, this reconstruction error is closely related to the coding gain of PCM in subbands over direct PCM. While the KL-transform combines both minimum reconstruction error and perfect decorrelation, filter banks do not. It is clear that the norm of cross-correlation becomes very important when better techniques than PCM are considered for the coding of subband signals.

Original language	English
Title of host publication	Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing
Number of pages	4
Volume	3
Publisher	IEEE
Publication date	01.04.1994
Pages	113-116
ISBN (Print)	0-7803-1775-0
DOIs	https://doi.org/10.1109/ICASSP.1994.390077
Publication status	Published - 01.04.1994
Event	Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing 1994 - Adelaide, Australia Duration: 19.04.1994 → 22.04.1994

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1109/ICASSP.1994.390077

Cite this

@inproceedings{3b2f720ad6304562bed2f8792f0512d0,

title = "Statistical optimization of PR-QMF banks and wavelets",

abstract = "The design of optimal power complementary filters for multiresolution signal decomposition is considered. As a new performance measure in statistical optimization of filter banks the norm of cross-correlation (all subbands including all delays) will be used for optimization. The obtained filters will be compared to filters having minimum reconstruction error when the high-pass branches are dropped. In the paraunitary case, which is considered here, this reconstruction error is closely related to the coding gain of PCM in subbands over direct PCM. While the KL-transform combines both minimum reconstruction error and perfect decorrelation, filter banks do not. It is clear that the norm of cross-correlation becomes very important when better techniques than PCM are considered for the coding of subband signals.",

author = "A. Mertins",

year = "1994",

month = apr,

day = "1",

doi = "10.1109/ICASSP.1994.390077",

language = "English",

isbn = "0-7803-1775-0",

volume = "3",

series = "IEEE International Conference on Acoustics, Speech and Signal Processing",

publisher = "IEEE",

pages = "113--116 ",

booktitle = "Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing",

note = "Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing 1994, ICASSP '94 ; Conference date: 19-04-1994 Through 22-04-1994",

}

Mertins, A 1994, Statistical optimization of PR-QMF banks and wavelets. in Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing. vol. 3, IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 3, IEEE, pp. 113-116 , Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing 1994, Adelaide, South Australia, Australia, 19.04.94. https://doi.org/10.1109/ICASSP.1994.390077

Statistical optimization of PR-QMF banks and wavelets. / Mertins, A.
Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing. Vol. 3 IEEE, 1994. p. 113-116 (IEEE International Conference on Acoustics, Speech and Signal Processing; Vol. 3).

Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

TY - GEN

T1 - Statistical optimization of PR-QMF banks and wavelets

AU - Mertins, A.

PY - 1994/4/1

Y1 - 1994/4/1

N2 - The design of optimal power complementary filters for multiresolution signal decomposition is considered. As a new performance measure in statistical optimization of filter banks the norm of cross-correlation (all subbands including all delays) will be used for optimization. The obtained filters will be compared to filters having minimum reconstruction error when the high-pass branches are dropped. In the paraunitary case, which is considered here, this reconstruction error is closely related to the coding gain of PCM in subbands over direct PCM. While the KL-transform combines both minimum reconstruction error and perfect decorrelation, filter banks do not. It is clear that the norm of cross-correlation becomes very important when better techniques than PCM are considered for the coding of subband signals.

AB - The design of optimal power complementary filters for multiresolution signal decomposition is considered. As a new performance measure in statistical optimization of filter banks the norm of cross-correlation (all subbands including all delays) will be used for optimization. The obtained filters will be compared to filters having minimum reconstruction error when the high-pass branches are dropped. In the paraunitary case, which is considered here, this reconstruction error is closely related to the coding gain of PCM in subbands over direct PCM. While the KL-transform combines both minimum reconstruction error and perfect decorrelation, filter banks do not. It is clear that the norm of cross-correlation becomes very important when better techniques than PCM are considered for the coding of subband signals.

UR - https://www.researchgate.net/publication/3601440_Statistical_optimization_of_PR-QMF_banks_and_wavelets

UR - https://www.semanticscholar.org/paper/Statistical-optimization-of-PR-QMF-banks-and-Mertins/5904ae87741a663a194992c05292d7545f3b399f

U2 - 10.1109/ICASSP.1994.390077

DO - 10.1109/ICASSP.1994.390077

M3 - Conference contribution

SN - 0-7803-1775-0

VL - 3

T3 - IEEE International Conference on Acoustics, Speech and Signal Processing

SP - 113

EP - 116

BT - Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing

PB - IEEE

T2 - Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing 1994

Y2 - 19 April 1994 through 22 April 1994

ER -

Statistical optimization of PR-QMF banks and wavelets

Abstract

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this