Optimal Wavelet Packet Modulation under finite complexity constraint

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Donnacha Daly, Conor Heneghan, Anthony D. Fagan, Martin Vetterli

Published: 01 Jan 2002, Last Modified: 07 Oct 2025ICASSP 2002EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Wavelet Packet Modulation (WPM) uses an arbitrary time-frequency plane tiling to create orthogonal subchannels of different bandwidths and symbol rates in a multichannel system. The Wavelet Packet Tree is implemented by iterating a perfect reconstruction two channel transmultiplexer. We derive operating conditions for the capacity-optimal tree for a given communication channel and power budget. We present a fast tree-selection algorithm which achieves this optimum for the case of a finite complexity transceiver. It is found that optimal-WPM outperforms conventional multichannel systems of equal complexity for ISI channels.