Chebyshev nonuniform sampling cascaded with the discrete cosine transform for optimum interpolation

Author

Neagoe, Victor-Emil

Author_Institution

Fac. of Electron & Telecommun., Polytech. Inst. of Bucharest, Romania

Volume

38

Issue

10

fYear

1990

fDate

10/1/1990 12:00:00 AM

Firstpage

1812

Lastpage

1815

Abstract

A method for discrete representation of signals consisting of a cascade of Chebyshev nonuniform sampling (CNS) followed by the discrete cosine transform (DCT) is presented. It is proven that the considered signal samples and the coefficients of the corresponding Chebyshev polynomial finite series are essentially a discrete cosine transform pair. A method for fast computation of the coefficients of the optimum interpolation formula (which minimizes the maximum instantaneous error) is provided. If the signal g(t) is band-limited and has a finite energy, the condition of convergence for interpolation can be deduced

Keywords

Chebyshev approximation; interpolation; signal processing; transforms; Chebyshev nonuniform sampling; Chebyshev polynomial finite series; DCT; band-limited signals; discrete cosine transform; optimum interpolation formula; signal processing; Chebyshev approximation; Data compression; Discrete cosine transforms; Discrete transforms; Feature extraction; Frequency; Interpolation; Nonuniform sampling; Polynomials; Sampling methods;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.60116

Filename

60116