Abstract

This paper proposes an algorithm based on ZF and MMSE methods for blind channel equalization, which is compared with adaptive filter algorithms which are Constant Modulus Algorithm (CMA), Fractional Space CMA (FSCMA) and Sign Kurtosis Maximization Adaptive Algorithm (SKMAA). The simulations show that the proposed algorithm gives satisfied result versus CMA, FSCMA and SKMAA algorithms. The study is done under certain conditions, it is implemented in noisy environment, for different number of symbols and different SNR values with QPSK modulation. Equalization of channel is more performing if we use the proposed algorithms.

Highlights

  • Conventional equalization and carrier recovery algorithms for Minimizing Mean Square Error (MMSE) in digital communication systems generally require an initial training period during which a known data sequence is transmitted and properly synchronized at the receiver [1, 2]

  • We study the most popular adaptive blind equalization Bussgang algorithm or constant modulus (CMA) [11] and Fraction Spaced Constant Modulus Algorithm (CMA) algorithms [10,12], another algorithm based on Kurtosis Maximization method called Sign Kurtosis Maximization Adaptive

  • In addition we represent a comparison between the proposed algorithm and the adaptive filter algorithms such as the Constant Modulus Algorithm (CMA), Fractional-Spaced-CMA, and Sign Kurtosis Maximization Adaptive Algorithm (SKMAA)

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Summary

Introduction

Conventional equalization and carrier recovery algorithms for Minimizing Mean Square Error (MMSE) in digital communication systems generally require an initial training period during which a known data sequence is transmitted and properly synchronized at the receiver [1, 2]. Non-minimum phase channel equalization was performed using the high-order statistics methods [5,6,7,8] or other nonlinearities that are effective only with non-Gaussian distribution input sequences [9]. We study the most popular adaptive blind equalization Bussgang algorithm (the Godard algorithm [10]) or constant modulus (CMA) [11] and Fraction Spaced CMA algorithms [10,12], another algorithm based on Kurtosis Maximization method called Sign Kurtosis Maximization Adaptive. We study the blind channel equalization using the adaptive filter algorithms. In addition we represent a comparison between the proposed algorithm and the adaptive filter algorithms such as the Constant Modulus Algorithm (CMA), Fractional-Spaced-CMA, and Sign Kurtosis Maximization Adaptive Algorithm (SKMAA)

Blind Channel Equalization
Fractional Spaced CMA Equalizer
Simulation Results
B Performance of the proposed algorithm versus Adaptive Filter Equalizer
Conclusions

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