Title
Nonlinear Adaptive Algorithms on Rank-One Tensor Models.
Abstract
This work proposes a low complexity nonlinearity model and develops adaptive algorithms over it. The model is based on the decomposable---or rank-one, in tensor language---Volterra kernels. It may also be described as a product of FIR filters, which explains its low-complexity. The rank-one model is also interesting because it comes from a well-posed problem in approximation theory. The paper uses such model in an estimation theory context to develop an exact gradient-type algorithm, from which adaptive algorithms such as the least mean squares (LMS) filter and its data-reuse version---the TRUE-LMS---are derived. Stability and convergence issues are addressed. The algorithms are then tested in simulations, which show its good performance when compared to other nonlinear processing algorithms in the literature.
Year
Venue
Field
2016
arXiv: Systems and Control
Least mean squares filter,Convergence (routing),Mathematical optimization,Nonlinear system,Tensor,Approximation theory,Algorithm,Probabilistic analysis of algorithms,Adaptive filter,Mathematics,Recursive least squares filter
DocType
Volume
Citations 
Journal
abs/1610.07520
1
PageRank 
References 
Authors
0.36
4
2
Name
Order
Citations
PageRank
Felipe C. Pinheiro111.03
Cássio Guimarães Lopes239432.32