Unification of Legendre, Laguerre, Hermite, and binomial discrete transforms using Pascal's matrix
type: Item
instance of: scholarly article
title: Unification of Legendre, Laguerre, Hermite, and binomial discrete transforms using Pascal's matrix
zbMATH Open document ID: 0805.44005
DOI: 10.1007/BF00980712
author: Maurice F. Aburdene
author: John E. Dorband
published in: Multidimensional Systems and Signal Processing
publication date: 1995-01-29T00:00:00Z
review text: Relationship between Pascal's matrix and the binomial coefficients are developed paving the way for unification of discrete Legendre, Laguerre, Hermite and binomial transforms. It may be pointed out that these discrete transforms have fruitful applications in signal processing, image processing, control systems engineering and physics.
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 60G35
Mathematics Subject Classification ID: 15A04
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 93E12
zbMATH DE Number: 597631
zbMATH Keywords: Legendre transform
zbMATH Keywords: Laguerre transform
zbMATH Keywords: Hermite transform
zbMATH Keywords: binomial transform
zbMATH Keywords: Pascal's matrix
zbMATH Keywords: discrete transforms
zbMATH Keywords: signal processing
zbMATH Keywords: image processing
zbMATH Keywords: control systems
reviewed by: J. M. C. Joshi
describes a project that uses: Matlab
MaRDI profile type: Publication
cites work: Q5731974
cites work: On the computation of discrete Legendre polynomial coefficients
cites work: Q4004105
description: scientific article; zbMATH DE number 597631