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Symmetric basis functions and their unitary transforms

Content Provider	IEEE Xplore Digital Library
Author	Sinha, N.D. Haddad, R.A.
Copyright Year	1993
Description	Author affiliation: Sch. of Electr. Eng. & Comput. Sci., Polytech. Univ., Brooklyn, NY, USA (Sinha, N.D.; Haddad, R.A.)
Abstract	It is shown that continuous functions obtained from symmetric contours generalize into functions whose magnitude component r(t) is some function of a trigonometric polynomial. The authors consider this general set of functions and show that they form a Reisz basis for L/sup 2/(a,b). The compaction efficiency of the unitary transforms obtained from sampling these functions depends on the sampling grid and on the symmetry of the functions rather than on its functional form. This symmetry can be used to obtain fast transforms. The fact that such a family can be parametrized makes it extremely suitable for adaptive algorithms in coding, computer vision, and pattern analysis.<>
Starting Page	531
Ending Page	534
File Size	301535
Page Count	4
File Format	PDF
ISBN	0780374029
ISSN	15206149
DOI	10.1109/ICASSP.1993.319866
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1993-04-27
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sampling methods Polynomials Computer science Discrete transforms Signal generators Adaptive algorithm Taylor series Equations
Content Type	Text
Resource Type	Article

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