In order to improve the convergence speed of adaptive equalizer, orthogonal wavelet transform has been introduced into adaptive equalizer. The orthogonal wavelet transform are placed in the front of the equalizer (forward filter) in the existing literature, which will reduce the performance of equalizer. In order to study the equalizer performance under the different placement of wavelet transform, based on the Constant Modulus Algorithm Decision Feedback Equalizer (CMA-DFE) as an example, the forward balance orthogonal multi-wavelet transform based CMA-DFE (MWT-CMA-DFE), the feedback balance orthogonal multi-wavelet transform based CMA-DFE(FMWT-CMA-DFE) and the dual balance orthogonal multi-wavelet transform based CMA-DFE (DMWT-CMA-DFE) are proposed and analyzed respectively. Moreover, the complexities of the proposed equalizers are analyzed. Simulation tests with underwater acoustic channel have indicated that the DMWT-CAM-DFE not only has the faster the performances of convergence and tracking the time vary channel but also can eliminate phase rotation compared with CMA-DFE, MWT-CMA-DFE and FMWT-CMA-DFE.

/pdf/research-on-wavelet-transform-blind-equalizer-based-on-9iz19l3p3o.pdf

Research on Wavelet Transform Blind Equalizer Based on Different Place

In this paper we propose and analyze an approach to improve the convergence rate of blind equalizers for nonstationary signals using wavelet transformation. Transform domain adaptive filters are famous for their improved convergence rate over the conventional least mean square (LMS) algorithm and also facilities for noise reduction without giving much increase in the computational cost; on the other hand, blind equalizers suffer from the poor convergence rate. We propose a wavelet domain (WD) equalization method to improve the convergence rate and discuss its advantage over other transform domain adaptive filters. This discussion is performed on two important categories of blind equalization; the stochastic gradient descent approach and cyclostationary based approach that is used in the case of blind fractionally spaced equalization (FSE) of channels.

Blind equalization in wavelet domain

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Blind equalization in wavelet domain