Rprop and improved Rprop+ based constant modulus type (RCMT) blind channel equalization algorithm for QAM signal

Abstract The aim of paper is to address the issues such as poor convergence, moderate BER, residual ISI associated with unsupervised (blind) weight adaptation technique employed for channel equalization. Two noble algorithms based on resilient back propagation framework have been proposed as solution for QAM signal. The widely accepted gradient descent based Constant Modulus algorithm suffers from poor convergence issues, high residual ISI and Moderate BER. Proposed solution assimilate Constant Modulus Algorithm (CMA) like error function into a general Rprop algorithm having two distinctive approaches of with/ without weight backtracking capability, taking into consideration of frequency selective nature of channels and additive gaussian noise. The algorithms exploit the advantage of Rprop mechanism, thus improving the convergence rate and have better ISI (inter symbol interference) suppression capability. Simulation of the proposed Rprop and improved Rprop+ based CM type (RCMT) algorithm proves their advantageously enhanced capabilities in terms of convergence, complexity, and residual ISI in comparison to the CMA and its variants. Proposed algorithm can also been used for M-PSK signal for which it shows similar performance.

[1]  Kavita Burse,et al.  Channel Equalization Using Neural Networks: A Review , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[2]  M. Abide,et al.  A Novel Variable Step Size Adjustment Method Based on Autocorrelation of Error Signal for the Constant Modulus Blind Equalization Algorithm , 2012 .

[3]  Guobao Ru,et al.  Blind equalization algorithm based on MCMA and DSE-CMA , 2008, Wuhan University Journal of Natural Sciences.

[4]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[5]  Zhilu Wu,et al.  Cognitive Radio Engine Design Based on Ant Colony Optimization , 2012, Wirel. Pers. Commun..

[6]  Jian Yang,et al.  The multimodulus blind equalization and its generalized algorithms , 2002, IEEE J. Sel. Areas Commun..

[7]  Philip Schniter,et al.  Blind equalization using the constant modulus criterion: a review , 1998, Proc. IEEE.

[8]  Roozbeh Hamzehyan,et al.  New Variable Step-Size Blind Equalization Based on Modified Constant Modulus Algorithm , 2012 .

[9]  Lalit M. Patnaik,et al.  Target detection through image processing and resilient propagation algorithms , 2000, Neurocomputing.

[10]  Martin A. Riedmiller,et al.  A direct adaptive method for faster backpropagation learning: the RPROP algorithm , 1993, IEEE International Conference on Neural Networks.

[11]  A. Benveniste,et al.  Robust identification of a nonminimum phase system: Blind adjustment of a linear equalizer in data communications , 1980 .

[12]  Ehud Weinstein,et al.  New criteria for blind deconvolution of nonminimum phase systems (channels) , 1990, IEEE Trans. Inf. Theory.

[13]  Christian Igel,et al.  Empirical evaluation of the improved Rprop learning algorithms , 2003, Neurocomputing.

[14]  D. Godard,et al.  Self-Recovering Equalization and Carrier Tracking in Two-Dimensional Data Communication Systems , 1980, IEEE Trans. Commun..

[15]  Some Reflections on the 35 Years of the Constant Modulus Criterion , 2015 .

[17]  Shafayat Abrar,et al.  New multimodulus blind equalization algorithm with relaxation , 2006, IEEE Signal Processing Letters.

[18]  John G. Proakis,et al.  Digital Communications , 1983 .

[19]  Prakhar Priyadarshi,et al.  Modified constant modulus type (MCMT) algorithm for blind channel equalization , 2017, 2017 International Conference on Wireless Communications, Signal Processing and Networking (WiSPNET).

[20]  Ismail Kaya,et al.  A Novel Approach for Blind Channel Equalization , 2008, ICIC.

[21]  P. K. Chaturvedi,et al.  Communication Systems , 2002, IFIP — The International Federation for Information Processing.

[22]  J. Treichler,et al.  A new approach to multipath correction of constant modulus signals , 1983 .

[23]  Lin He,et al.  A dual-mode technique for improved blind equalization for QAM signals , 2003, IEEE Signal Processing Letters.

[24]  Azzedine Zerguine,et al.  Channel equalization using simplified least mean-fourth algorithm , 2011, Digit. Signal Process..

[25]  Pierre Comon,et al.  Optimal Step-Size Constant Modulus Algorithm , 2008, IEEE Transactions on Communications.

[26]  S. Chen Low complexity concurrent constant modulus algorithm and soft decision directed scheme for blind equalisation , 2003 .