Publication detail

The choice of the optimal parameter in the data compression task using generalized Laguerre functions

TŮMA, M.

Original Title

The choice of the optimal parameter in the data compression task using generalized Laguerre functions

Czech Title

Volba optimálního parametru při kompresi dat pomocí zobecněných Laguerrových funkcí

English Title

The choice of the optimal parameter in the data compression task using generalized Laguerre functions

Type

journal article

Language

en

Original Abstract

This article deals with the use of the generalized Laguerre functions to the data compression. After the short introduction the definition of the generalized Laguerre polynomials and functions is given. The application of the discrete generalized Laguerre transform on the data compression is shown. It is pointed out that the discrete generalized Laguerre transform can give better results than the discrete cosine transform in the task of the data compression. The choice of the optimal parameter in the generalized Laguerre functions is discussed. The comparison between the optimal DLT, standard DLT, DCT and wavelet data compression with Haar and CDF basis is shown.

Czech abstract

Článek se zabývá užitím zobecněných Laguerrových funkcí pro kompresi dat. Po krátkém úvodu je zavedena definice zobecněných Laguerrových polynomů a funkcí. Je předvedena aplikace diskrétní zobecněné Laguerrovy transformace na kompresi dat. Na příkladech je ukázano srovnání diskrétní zobecněné Laguerrovy transformace a diskrétní kosinové transformace. Je diskutována volba optimálního parametru pro zobecněné Laguerrovy funkce. Je předvedeno porovnání mezi optimální DLT, DCT a waveletové komprese dat při užití Haar a CDF báze.

English abstract

This article deals with the use of the generalized Laguerre functions to the data compression. After the short introduction the definition of the generalized Laguerre polynomials and functions is given. The application of the discrete generalized Laguerre transform on the data compression is shown. It is pointed out that the discrete generalized Laguerre transform can give better results than the discrete cosine transform in the task of the data compression. The choice of the optimal parameter in the generalized Laguerre functions is discussed. The comparison between the optimal DLT, standard DLT, DCT and wavelet data compression with Haar and CDF basis is shown.

Keywords

Laguerre, compression, polynomial, wavelet

RIV year

2013

Released

03.07.2013

Pages from

67

Pages to

69

Pages count

82

BibTex


@article{BUT100930,
  author="Martin {Tůma}",
  title="The choice of the optimal parameter in the data compression task using generalized Laguerre functions",
  annote="This article deals with the use of the generalized Laguerre functions to the data compression. After the short introduction the definition of the generalized Laguerre polynomials and functions is given. The application of the discrete generalized Laguerre transform on the data compression is shown. It is pointed out that the discrete generalized Laguerre transform can give better results than the discrete cosine transform in the task of the data
compression. The choice of the optimal parameter in the generalized Laguerre functions is discussed. The comparison between the optimal DLT, standard DLT, DCT and wavelet data compression with Haar and CDF basis is shown.",
  chapter="100930",
  number="1",
  volume="2",
  year="2013",
  month="july",
  pages="67--69",
  type="journal article"
}