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Type: Journal article
Title: Complex rational orthogonal wavelet and its application in communications
Author: Yu, L.
White, L.
Citation: IEEE Signal Processing Letters, 2006; 13(8):477-480
Publisher: IEEE-Inst Electrical Electronics Engineers Inc
Issue Date: 2006
ISSN: 1070-9908
Statement of
Limin Yu and Langford B. White
Abstract: This letter proposes a generalized method to construct complex wavelets under the framework of rational multiresolution analysis, MRA(M), where is a rational number. Theorems and examples are given for the construction of complex rational orthogonal wavelets (CROWs) whose real and imaginary parts form an exact Hilbert transform pair. Since the classical Mallat’s MRA is a special case of the rational MRA(M) with = 2, the theorems hold for the construction of complex dyadic wavelets. Based on a rational MRA(M) with 1 < M < 2, the constructed CROWs not only achieve the benefit by capturing the phase information that the real-valued wavelets are lacking but also have the unique fine rational orthogonal property that is suited for specific application scenarios where binary orthogonality achieved by dyadic wavelets is not sufficient for the scale resolution. The CROWs’ application in communications as the modulation signal pulse for PSK/QAM signaling is discussed. Specific communication scenarios that could benefit from the properties of this class of complex wavelets include the communication through a multipath/Doppler channel and new CROW-based multicarrier modulation (MCM)/orthogonal frequency division multiplexing (OFDM) systems.
Keywords: Complex rational orthogonal wavelet (CROW)
Hilbert transform pair
complex wavelet multicarrier modulation (MCM)
orthogonal frequency division multiplexing (OFDM)
rational multiresolution analysis (MRA)
Description: Copyright © 2006 IEEE
DOI: 10.1109/LSP.2006.874393
Appears in Collections:Aurora harvest 2
Electrical and Electronic Engineering publications

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