Wavelets and waveform coding: extensions and new results

Michael J. Lyall; Sathyanarayana S. Rao; Prashant P. Gandhi

doi:10.1117/12.188769

11 October 1994 Wavelets and waveform coding: extensions and new results

Michael J. Lyall, Sathyanarayana S. Rao, Prashant P. Gandhi

Proceedings Volume 2303, Wavelet Applications in Signal and Image Processing II; (1994) https://doi.org/10.1117/12.188769
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

Recently, we demonstrated the use of orthonormal wavelets as desirable waveforms for baseband waveform coding application in digital communications. In this paper, we examine the use of generalized biorthogonal wavelets for waveform coding. Though the transmit and receive waveforms have different supports in the biorthogonal case, it is shown that binary symbols can be extracted easily at the receiver. Spectral characteristics of several types of biorthogonal wavelets are examined and resulting codecs' bandwidth efficiencies (in bits/sec/Hz) are provided. An M-band wavelet codec is also proposed. Preliminary results indicate that the M-band codec (used in this study) will be out-performed by a two-band codec of the same order.

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Michael J. Lyall, Sathyanarayana S. Rao, and Prashant P. Gandhi "Wavelets and waveform coding: extensions and new results", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); https://doi.org/10.1117/12.188769

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KEYWORDS

Wavelets

Optical correlators

Receivers

Data communications

Analog electronics

Binary data

Biological research

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