Combination of affine projection sign algorithms for robust adaptive filtering in non-Gaussian impulsive interference

• Published in: Electronics letters 2014-03, Vol.50 (6), p.466-467
• Main Authors: Shi, Liming, Lin, Yun, Xie, Xianzhong
• Format: Article
• Language: English
• Subjects: adaptive filters; affine projection sign algorithms; Algorithmics. Computability. Computer arithmetics; Applied sciences; combinatorial mathematics; Computer science; control theory; systems; convergence; convergence rate; convex combination method; Detection, estimation, filtering, equalization, prediction; Exact sciences and technology; Information, signal and communications theory; interference (signal); L1 norm minimisation; non‐Gaussian impulsive interference; plant identification; robust adaptive filtering; Signal and communications theory; Signal processing; Signal, noise; steady‐state error; Telecommunications and information theory; Theoretical computing
• ISSN: 0013-5194; 1350-911X; 1350-911X
• DOI: 10.1049/el.2013.3997

A method for minimising the L1 norm relying on the convex combination of two affine projection sign algorithms is proposed. The major drawbacks of the affine projection sign type algorithms are a poor convergence rate and instability in time-variant scenarios, especially in the presence of abrupt changes. A convex combination method is used to obtain a superior performance. Instead of minimising the squared error in the conventional convex combination theory, the minimisation of the L1 norm is introduced to offer a more robust solution in the presence of a non-Gaussian impulsive interference. The good performances in terms of the convergence rate and the steady-state error are demonstrated in a plant identification experiment that includes the impulsive noise and abrupt changes.