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A Generalised Mixed Norm Stochastic Gradient Algorithm

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3 Author(s)
Boukis, C. ; Athens Inf. Technol., Athens ; Mandic, D.P. ; Constantinides, A.G.

A novel stochastic gradient algorithm for finite impulse response (FIR) adaptive filters, termed the least sum of exponentials (LSE), is introduced. In order to provide a generalisation of the class of weighted mixed norm algorithms and at the same time avoid problems associated with a large number of free paramaters of such algorithms, LSE is derived by minimising a sum of error exponentials. A rigourous mathematical analysis is provided, resulting in closed form expressions for the optimal weights and the upper bound of the learning rate. The analysis is supported by simulations in a system identification setting.

Published in:

Digital Signal Processing, 2007 15th International Conference on

Date of Conference:

1-4 July 2007

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