Title :
2-D discrete orthogonal transforms by means of 2-D LMS adaptive algorithms
Author :
Ogunfunmi, Tokunbo ; Au, Michael
Author_Institution :
Dept. of Electr. Eng., Santa Clara Univ., CA, USA
fDate :
31 Oct-2 Nov 1994
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
Keywords :
adaptive filters; adaptive signal processing; discrete Fourier transforms; filtering theory; inverse problems; least mean squares methods; spectral analysis; transforms; 2-D LMS adaptive algorithms; 2-D LMS algorithm; 2-D LMS spectrum analyzer; 2-D discrete orthogonal transforms; DFT; adaptation speed; discrete Fourier transform; forward 2-D orthogonal orthogonal transforms; input signal; inverse 2-D orthogonal orthogonal transforms; least mean square algorithm; signal processing; simulations; transform-domain LMS adaptive filtering; two-dimensional least mean square; Adaptive algorithm; Computational modeling; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Equations; Gold; Least squares approximation; Signal processing algorithms; Two dimensional displays;
Conference_Titel :
Signals, Systems and Computers, 1994. 1994 Conference Record of the Twenty-Eighth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-6405-3
DOI :
10.1109/ACSSC.1994.471706
