DocumentCode :
1893027
Title :
FIR Adaptive filters based on hirschman optimal transform
Author :
Alkhouli, Osama ; DeBrunner, Victor ; Zhai, Yan ; Yeary, Mark
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Oklahoma Univ., Norman, OK
fYear :
2005
fDate :
17-20 July 2005
Firstpage :
339
Lastpage :
344
Abstract :
In this paper, we derive a "convolution theorem" suitable for the Hirschman optimal transform (HOT), a unitary transform derived from a discrete-time, discrete-frequency version of the entropy-based uncertainty measure first described by Hirschman. We use the result to develop transform domain adaptive filters. First, we show how our method can be used to implement a fast block-LMS adaptive filter that we call the HOT block-LMS adaptive filter. This filter requires slightly less than half of the computations that are required in FFT-based block-LMS adaptive filler. We also develop another transform-based adaptive filter algorithm that uses a sliding window instead of a block of data. The HOT version of these sliding algorithms is also significantly computationally more efficient (by radicN, where N is the filter order) than the sliding DFT version. Because our work is at an early stage, we develop simulations that explore basic convergence characteristics
Keywords :
FIR filters; adaptive filters; convergence of numerical methods; discrete Fourier transforms; entropy; least mean squares methods; DFT; FIR adaptive filter; HOT; Hirschman optimal transform; block-LMS filter; convergence characteristics; convolution theorem; entropy-based uncertainty measure; sliding window; Adaptive filters; Computational complexity; Computational efficiency; Convolution; Costs; Discrete cosine transforms; Equations; Finite impulse response filter; Frequency domain analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Statistical Signal Processing, 2005 IEEE/SP 13th Workshop on
Conference_Location :
Novosibirsk
Print_ISBN :
0-7803-9403-8
Type :
conf
DOI :
10.1109/SSP.2005.1628617
Filename :
1628617
Link To Document :
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