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Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)
Pacific Grove, CA, USA
Oct. 31, 1994 to Nov. 2, 1994
ISSN: 1058-6393
ISBN: 0-8186-6405-3
pp: 1493-1496
T. Ogunfunmi , Dept. of Electr. Eng., Santa Clara Univ., CA, USA
M. Au , Dept. of Electr. Eng., Santa Clara Univ., CA, USA
ABSTRACT
The least mean square (LMS) algorithm has been utilized to compute the continuous-flow discrete Fourier transform (DFT) of an input signal. This was described as the LMS spectrum analyzer. The DFT has wide applications in several areas of signal processing. For example, this method of computing the DFT has been applied in transform-domain LMS adaptive filtering. This paper establishes a general relation between the two-dimensional least mean square (2-D LMS) algorithm and 2-D discrete orthogonal transforms. It is shown that the 2-D LMS algorithm can be used do compute the forward as well as the inverse 2-D orthogonal orthogonal transforms in general for any input by suitable choice of the adaptation speed. Simulations are presented to verify the general relationship results.<>
INDEX TERMS
transforms, adaptive signal processing, least mean squares methods, spectral analysis, discrete Fourier transforms, adaptive filters, filtering theory, inverse problems
CITATION

T. Ogunfunmi and M. Au, "2-D discrete orthogonal transforms by means of 2-D LMS adaptive algorithms," Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC), Pacific Grove, CA, USA, 1995, pp. 1493-1496.
doi:10.1109/ACSSC.1994.471706
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