The discrete Laguerre transform: derivation and applications

Author

Mandyam, Giridhar ; Ahmed, Nasir

Author_Institution

Texas Instrum. Inc., Dallas, TX, USA

Volume

44

Issue

12

fYear

1996

fDate

12/1/1996 12:00:00 AM

Firstpage

2925

Lastpage

2931

Abstract

The discrete Laguerre transform (DLT) belongs to the family of unitary transforms known as Gauss-Jacobi transforms. Using classical methodology, the DLT is derived from the orthonormal set of Laguerre functions. By examining the basis vectors of the transform matrix, the types of signals that can be best represented by the DLT are determined. Simulation results are used to compare the DLT´s effectiveness in representing such signals to that of other available transforms in applications such as data compression and transform-domain adaptive filters

Keywords

adaptive filters; adaptive signal processing; data compression; matrix algebra; signal representation; transforms; Gauss-Jacobi transforms; basis vectors; data compression; discrete Laguerre transform; orthonormal Laguerre functions; polynomials; signal representation; simulation results; transform matrix; transform-domain adaptive filters; unitary transforms; Adaptive filters; Adaptive signal processing; Data compression; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Fourier transforms; Gaussian processes; Polynomials; Signal restoration;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.553468

Filename

553468