Digital Discrete Fractional Signal Transforms and its Applications (2/3)
Date Issued
2005-07-31
Date
2005-07-31
Author(s)
DOI
932213E002059
Abstract
Based on discrete Hermite-Gaussian like functions, a discrete
fractional Fourier transform (DFRFT) which provides sample
approximations of the continuous fractional Fourier transform
was defined and investigated recently. In this paper, we
propose a new nearly tridiagonal matrix which commutes with
the discrete Fourier transform (DFT) matrix. The eigenvectors of
the new nearly tridiagonal matrix are shown to be better discrete
Hermite-Gaussian like functions than those developed before.
Furthermore, by appropriately combining two linearly independent
matrices which both commute with the DFT matrix, we develop
a method to obtain even better discrete Hermite-Gaussian
like functions. Then, new versions of DFRFT produce their
transform outputs more close to the samples of the continuous
fractional Fourier transform, and their application is illustrated.
Publisher
臺北市：國立臺灣大學電機工程學系暨研究所
Type
report
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