Determination of multipath channel parameters using wavelet decomposition

Article type: Research Article

Authors: Artai, Hassan A.^{; *} | Bedi, Jatinder S.

Affiliations: Electrical and Computer Engineering department, Wayne State University, Detroit, MI 48202, USA

Correspondence: [*] Corresponding author. Member of Society of Automotive Engineers (SAE), Tau Beta Pi and Eta Kappa Nu

Abstract: In this paper we develop deterministic expressions for the channel path amplitudes and path phases using the wavelet transform of the received signal. We treat two cases. One case applies to pilot tone signaling and the other one is concerned with the detection of a sequence of symbols over the multipath channel. In the first case, intersymbol interference (ISI) is not a factor, while in the second, due to time dispersion of the transmitted symbols within the channel, ISI becomes a major contributor to the distortion to which the transmitted signal is subjected. We use a wideband model of the multipath channel based on which we derive a discrete representation of the received signal. The discrete samples are then used to compute the highest level wavelet coefficients, through convolution with the coefficients of the Haar wavelet. Using the computed wavelet coefficients, we apply simple algebra to resolve the individual path amplitudes and path phases.

DOI: 10.3233/ICA-2001-8203

Journal: Integrated Computer-Aided Engineering, vol. 8, no. 2, pp. 119-133, 2001