A Nonquadratic Algorithm Based on the Extended Recursive Least-Squares Algorithm

In adaptiveg filters, several recursive algorithms have been used to track state-space model vectors in nonstationary environments. So far, kernel recursive algorithms showed the best results in this regard. With this letter, we aim to propose an algorithm based on a nonlinear function of the error, motivated by the extended recursive least-squares algorithm. Simulations were performed on the problem of tracking a nonlinear Rayleigh fading multipath channel and on a system identification. The results showed that the proposed algorithm can overcome the extended kernel version ones.

[1]  Feng Ding,et al.  A novel parameter separation based identification algorithm for Hammerstein systems , 2016, Appl. Math. Lett..

[2]  Ali H. Sayed,et al.  Fundamentals Of Adaptive Filtering , 2003 .

[3]  Jianqiang Pan,et al.  A filtering based multi-innovation extended stochastic gradient algorithm for multivariable control systems , 2017 .

[4]  Bernard Widrow,et al.  The least mean fourth (LMF) adaptive algorithm and its family , 1984, IEEE Trans. Inf. Theory.

[5]  Weifeng Liu,et al.  Extended Kernel Recursive Least Squares Algorithm , 2009, IEEE Transactions on Signal Processing.

[6]  Kan Li,et al.  The Kernel Adaptive Autoregressive-Moving-Average Algorithm , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[7]  Feng Ding,et al.  Adaptive filtering parameter estimation algorithms for Hammerstein nonlinear systems , 2016, Signal Process..

[8]  Feng Ding,et al.  Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises , 2009, Signal Process..

[9]  F. Ding,et al.  Convergence of the auxiliary model-based multi-innovation generalized extended stochastic gradient algorithm for Box–Jenkins systems , 2015 .

[10]  Allan Kardec Barros,et al.  An adaptive recursive algorithm based on non-quadratic function of the error , 2012, Signal Process..

[11]  Erfu Yang,et al.  Adaptive filtering‐based multi‐innovation gradient algorithm for input nonlinear systems with autoregressive noise , 2017 .

[12]  Feng Ding,et al.  Multi-innovation Extended Stochastic Gradient Algorithm and Its Performance Analysis , 2010, Circuits Syst. Signal Process..

[13]  Badong Chen,et al.  A novel extended kernel recursive least squares algorithm , 2012, Neural Networks.