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—The continuous fractional Fourier transform (FRFT) performs a spectrum rotation of signal in the time–frequency plane, and it becomes an important tool for time-varying signal analysis. A discrete fractional Fourier transform has been recently developed by Santhanam and McClellan, but its results do not match those of the corresponding continuous(More)
This paper is concerned with the definition of the discrete fractional Fourier transform (DFRFT). First, an eigende-composition of the discrete Fourier transform (DFT) matrix is derived by sampling the Hermite Gauss functions which are eigenfunctions of the continuous Fourier transform and by performing a novel error removal procedure. Then, the result of(More)
The two-dimensional least mean square (2 0 LMS) adaptive filters have been recently used in the image processing applications for reducing the noise. I n this paper, a new two-dimensional LM-S algorithm is proposed. For the special desires to the linear phase constraint during filtering the images, a n additional linear phase constraint is added to the(More)