Transient Analysis of Complex-Domain Adaptive Threshold Nonlinear Algorithm (c-ATNA) for Adaptive Filters in Applications to Digital QAM Systems

Shin'ichi KOIKE  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.2   pp.469-478
Publication Date: 2006/02/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.2.469
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Digital Signal Processing
transient analysis,  complex-domain,  adaptive filter,  adaptive threshold,  digital QAM system,  

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The paper presents an adaptive algorithm named adaptive threshold nonlinear algorithm for use in adaptive filters in the complex-number domain (c-ATNA) in applications to digital QAM systems. Although the c-ATNA is very simple to implement, it makes adaptive filters highly robust against impulse noise and at the same time it ensures filter convergence as fast as that of the well-known LMS algorithm. Analysis is developed to derive a set of difference equations for calculating transient behavior as well as steady-state performance. Experiment with simulations and theoretical calculations for some examples of filter convergence in the presence of Contaminated Gaussian Noise demonstrates that the c-ATNA is effective in combating impulse noise. Good agreement between simulated and theoretical convergence proves the validity of the analysis.