Channel Identification and Equalization based on Kernel Methods for Downlink Multicarrier-CDMA Systems

Channel Identification and Equalization based on Kernel Methods for Downlink Multicarrier-CDMA Systems

Mohammed Boutalline (LIRST Laboratory, Université Sultan Moulay Slimane, Beni Mellal, Morocco), Belaid Bouikhalene (LIRST Laboratory, Université Sultan Moulay Slimane, Beni Mellal, Morocco) and Said Safi (LIRST Laboratory, Université Sultan Moulay Slimane, Beni Mellal, Morocco)
Copyright: © 2015 |Pages: 16
DOI: 10.4018/JECO.2015040102

Abstract

In this paper the authors are focused on channel identification and equalization for Multi-Carrier Code Division Multiple Access (MC-CDMA) system. For this, they identify the impulse response of two practical selective frequency fading channels called Broadband Radio Access Network (BRAN A and BRAN B) normalized by the European Telecommunications Standards Institute (ETSI). To identify the channel parameters, they have the positive definite kernels to build on algorithm. The simulations show that the presented method confirms the good performance for different SNR values. In part of equalization, the authors use the Zero Forcing (ZF) and Minimum Mean Square Error (MMSE) equalizers.
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2. Problem Statement

In this paper, we consider the transmission of N i.i.d zero-mean symbols with unit energy, across a linear, discrete, time-invariant FIR channel with order P (Figure 1).

Figure 1.

Channel model

JECO.2015040102.f01

The output JECO.2015040102.m02is described by the following Eq.

JECO.2015040102.m03
Where hp=[h(1),h(2),…,h(P)] represents the impulse response coefficients of Non-Minimum Phase (NMP) channel and P is the order of FIR system.

In noisy environments case, the output system is affected at its output by an additive white Gaussian noise withJECO.2015040102.m04. The observed output at the receiver JECO.2015040102.m05 is given by:

The input sequence,JECO.2015040102.m07, is independent and identically distributed (i.i.d) zero mean, and non-Gaussian. The system is supposed causal, i.e JECO.2015040102.m08for JECO.2015040102.m09and for JECO.2015040102.m10. So channel identification problem is to estimate JECO.2015040102.m11only from the received observationJECO.2015040102.m12.

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