Wavelets and waveform coding: extensions and new results

Michael J. Lyall, Sathyanarayan S. Rao, Prashant P. Gandhi · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994

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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