Orthonormal bases of bandlimited wavelets with frequency overlap

Sokbom Han, Douglas Cochran

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Motivated by their utility in coding of digital communication signals, numerous examples of orthonormal wavelet sets that are generated from a bandlimited mother wavelet have been constructed. In most of these examples, orthogonality of the replicates at different scales is achieved by ensuring that the frequency domain supports at every scale are disjoint. Given the mother wavelet for such a set, this paper describes how it can be extended to yield a new bandlimited mother wavelet which generates an orthonormal set and whose dilated replicates overlap in the frequency domain. The utility of these wavelets to improve robustness of wavelet-coded communication signals with respect to demodulation by an unintended receiver is also discussed. The possibility of developing a new class of symbols by unitary warping of the frequency axis is also considered, but is shown not to be viable.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Pages1541-1544
Number of pages4
Volume3
StatePublished - 1995
EventProceedings of the 1995 20th International Conference on Acoustics, Speech, and Signal Processing. Part 2 (of 5) - Detroit, MI, USA
Duration: May 9 1995May 12 1995

Other

OtherProceedings of the 1995 20th International Conference on Acoustics, Speech, and Signal Processing. Part 2 (of 5)
CityDetroit, MI, USA
Period5/9/955/12/95

Fingerprint

Communication
Demodulation
pulse communication
orthogonality
demodulation
coding
receivers
communication

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Acoustics and Ultrasonics

Cite this

Han, S., & Cochran, D. (1995). Orthonormal bases of bandlimited wavelets with frequency overlap. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. 3, pp. 1541-1544)

Orthonormal bases of bandlimited wavelets with frequency overlap. / Han, Sokbom; Cochran, Douglas.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 3 1995. p. 1541-1544.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Han, S & Cochran, D 1995, Orthonormal bases of bandlimited wavelets with frequency overlap. in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. vol. 3, pp. 1541-1544, Proceedings of the 1995 20th International Conference on Acoustics, Speech, and Signal Processing. Part 2 (of 5), Detroit, MI, USA, 5/9/95.
Han S, Cochran D. Orthonormal bases of bandlimited wavelets with frequency overlap. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 3. 1995. p. 1541-1544
Han, Sokbom ; Cochran, Douglas. / Orthonormal bases of bandlimited wavelets with frequency overlap. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 3 1995. pp. 1541-1544
@inproceedings{242919367fe145a28dd0cb11f47e3023,
title = "Orthonormal bases of bandlimited wavelets with frequency overlap",
abstract = "Motivated by their utility in coding of digital communication signals, numerous examples of orthonormal wavelet sets that are generated from a bandlimited mother wavelet have been constructed. In most of these examples, orthogonality of the replicates at different scales is achieved by ensuring that the frequency domain supports at every scale are disjoint. Given the mother wavelet for such a set, this paper describes how it can be extended to yield a new bandlimited mother wavelet which generates an orthonormal set and whose dilated replicates overlap in the frequency domain. The utility of these wavelets to improve robustness of wavelet-coded communication signals with respect to demodulation by an unintended receiver is also discussed. The possibility of developing a new class of symbols by unitary warping of the frequency axis is also considered, but is shown not to be viable.",
author = "Sokbom Han and Douglas Cochran",
year = "1995",
language = "English (US)",
volume = "3",
pages = "1541--1544",
booktitle = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

}

TY - GEN

T1 - Orthonormal bases of bandlimited wavelets with frequency overlap

AU - Han, Sokbom

AU - Cochran, Douglas

PY - 1995

Y1 - 1995

N2 - Motivated by their utility in coding of digital communication signals, numerous examples of orthonormal wavelet sets that are generated from a bandlimited mother wavelet have been constructed. In most of these examples, orthogonality of the replicates at different scales is achieved by ensuring that the frequency domain supports at every scale are disjoint. Given the mother wavelet for such a set, this paper describes how it can be extended to yield a new bandlimited mother wavelet which generates an orthonormal set and whose dilated replicates overlap in the frequency domain. The utility of these wavelets to improve robustness of wavelet-coded communication signals with respect to demodulation by an unintended receiver is also discussed. The possibility of developing a new class of symbols by unitary warping of the frequency axis is also considered, but is shown not to be viable.

AB - Motivated by their utility in coding of digital communication signals, numerous examples of orthonormal wavelet sets that are generated from a bandlimited mother wavelet have been constructed. In most of these examples, orthogonality of the replicates at different scales is achieved by ensuring that the frequency domain supports at every scale are disjoint. Given the mother wavelet for such a set, this paper describes how it can be extended to yield a new bandlimited mother wavelet which generates an orthonormal set and whose dilated replicates overlap in the frequency domain. The utility of these wavelets to improve robustness of wavelet-coded communication signals with respect to demodulation by an unintended receiver is also discussed. The possibility of developing a new class of symbols by unitary warping of the frequency axis is also considered, but is shown not to be viable.

UR - http://www.scopus.com/inward/record.url?scp=0028996318&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028996318&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0028996318

VL - 3

SP - 1541

EP - 1544

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

ER -