Title :
LMS algorithm and discrete orthogonal transforms
Author :
Wang, Shuenn-Shyang
Author_Institution :
Dept. of Electr. Eng., Tatung Inst. of Technol., Taipei, Taiwan
fDate :
8/1/1991 12:00:00 AM
Abstract :
A general relation between the least mean square (LMS) algorithm and the discrete orthogonal transforms is established. Discrete orthogonal transforms, including the discrete Fourier transform (DFT), the discrete Hartley transform (DHT), the discrete cosine transform (DCT), the discrete sine transform (DST), and the Walsh-Hadamard transform (WHT), etc. are extensively used in signal and image processing. It is shown that the LMS algorithm could provide a means for the calculation of forward orthogonal transforms as well as inverse orthogonal transforms by properly choosing the input vector and adaptation speed
Keywords :
computerised picture processing; computerised signal processing; least squares approximations; DCT; DFT; DHT; DST; LMS algorithm; WHT; Walsh-Hadamard transform; calculation of forward orthogonal transforms; discrete Fourier transform; discrete Hartley transform; discrete cosine transform; discrete orthogonal transforms; discrete sine transform; image processing; inverse orthogonal transforms; least mean square algorithm; Algorithm design and analysis; Circuits and systems; DH-HEMTs; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Fourier transforms; Image processing; Least squares approximation; Signal processing;
Journal_Title :
Circuits and Systems, IEEE Transactions on
