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Abstract
A new state equation and nonlinear operatorbased approach to estimation is introduced for discretetime multichannel systems. This is a type of deconvolution or inferential estimation problem, where a signal enters a communications channel involving both nonlinearities and transport delays. The measurements are corrupted by a coloured noise signal, which is correlated with the signal to be estimated both at the inputs and outputs of the channel. The communications channel may include either static or dynamic nonlinearities represented in a general nonlinear operator form. The optimal nonlinear estimator is derived in terms of the state equations and nonlinear operators that describe the system. The algorithm is relatively simple to derive and to implement in the form of a recursive algorithm. The main advantage of the approach is the simplicity of the nonlinear estimator theory and the straightforward structure of the resulting solution. The results may be applied to the solution of channel equalisation problems in communications or fault detection problems in control applications.
Original language  English 

Pages (fromto)  365378 
Number of pages  14 
Journal  IET Signal Processing 
Volume  5 
Issue number  4 
DOIs  
Publication status  Published  1 Jul 2011 
Keywords
 channel estimation
 deconvolution
 discrete time systems
 equalisers
 nonlinear estimation
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Dive into the research topics of 'Nonlinear minimum variance statespacebased estimation for discretetime multichannel systems'. Together they form a unique fingerprint.Projects
 1 Finished

Nonlinear High Performance Real Time Control
Grimble, M. & Katebi, R.
EPSRC (Engineering and Physical Sciences Research Council)
1/03/08 → 31/12/10
Project: Research