Title
Steady-state performance of multimodulus blind equalizers.
Abstract
Multimodulus algorithms (MMA) based adaptive blind equalizers mitigate inter-symbol interference in a digital communication system by minimizing dispersion in the quadrature components of the equalized sequence in a decoupled manner, i.e., the in-phase and quadrature components of the equalized sequence are used to minimize dispersion in the respective components of the received signal. These unsupervised equalizers are mostly incorporated in bandwidth-efficient digital receivers (wired, wireless or optical) which rely on quadrature amplitude modulation based signaling. These equalizers are equipped with nonlinear error-functions in their update expressions which makes it a challenging task to evaluate analytically their steady-state performance. However, exploiting variance relation theorem, researchers have recently been able to report approximate expressions for steady-state excess mean square error (EMSE) of such equalizers for noiseless but interfering environment.In this work, in contrast to existing results, we present exact steady-state tracking analysis of two multimodulus equalizers in a non-stationary environment. Specifically, we evaluate expressions for steady-state EMSE of two equalizers, namely the MMA2-2 and the βMMA. The accuracy of the derived analytical results is validated using different set experiments and found in close agreement. HighlightsWe provide performance analysis of two multimodulus blind equalizers.The analysis evaluates EMSE performance in both stationary and non-stationary environments.The analysis can provide the optimal equalizer length for the given channel and step-size.We validate our analytical findings for both fixed and time-varying channels.
Year
DOI
Venue
2015
10.1016/j.sigpro.2014.10.020
Signal Processing
Keywords
Field
DocType
mean square error,blind equalization,quadrature amplitude modulation,steady state analysis
Wireless,Quadrature amplitude modulation,Expression (mathematics),Control theory,Computer science,Mean squared error,Communications system,Interference (wave propagation),Quadrature (mathematics),Blind equalization
Journal
Volume
Issue
ISSN
108
C
0165-1684
Citations 
PageRank 
References 
8
0.54
27
Authors
4
Name
Order
Citations
PageRank
Ali Waqar Azim1222.92
Shafayat Abrar2528.19
Azzedine Zerguine334351.98
Asoke K. Nandi494795.46