Title
Blind equalization based on pdf fitting and convergence analysis
Abstract
In this paper, we address M-QAM blind equalization by fitting the probability density functions (pdf) of the equalizer output with the constellation symbols. We propose two new cost functions, based on kernel pdf approximation, which force the pdf at the equalizer output to match the known constellation pdf. The kernel bandwidth of a Parzen estimator is updated during iterations to improve the convergence speed and to decrease the residual error of the algorithms. Unlike related existing techniques, the new algorithms measure the distance error between observed and assumed pdfs for the real and imaginary parts of the equalizer output separately. The advantage of proceeding this way is that the distributions show less modes, which facilitates equalizer convergence, while as for multi-modulus methods phase recovery keeps being preserved. The proposed approaches outperform CMA and classical pdf fitting methods in terms of convergence speed and residual error. We also analyse the convergence properties of the most efficient proposed equalizer via the ordinary differential equation (ODE) method. HighlightsWe propose a new family of blind equalization algorithms named MSQD- p that converges faster than the CMA and the classical SQD pdf fitting and achieves lower residual error.We provide convergence and performance analysis of the most effective MSQD- 1 algorithm based on the ordinary differential equation (ODE) method.We show that the MSQD- 1 algorithm converges quickly to the MMSE equalizer.
Year
DOI
Venue
2014
10.1016/j.sigpro.2014.02.009
Signal Processing
Keywords
Field
DocType
ode,blind equalization
Convergence (routing),Kernel (linear algebra),Residual,Mathematical optimization,Ordinary differential equation,Control theory,Kernel Bandwidth,Blind equalization,Mathematics,Ode,Estimator
Journal
Volume
Issue
ISSN
101
C
0165-1684
Citations 
PageRank 
References 
7
0.56
16
Authors
4
Name
Order
Citations
PageRank
Souhaila Fki191.99
Malek Messai2205.01
Abdeldjalil Aïssa-El-Bey316225.10
Thierry Chonavel424833.28