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Complex transforms

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Details

Original languageEnglish
Title of host publicationMining Intelligence and Knowledge Exploration
Subtitle of host publicationThird International Conference, MIKE 2015, Hyderabad, India, December 9-11, 2015, Proceedings
PublisherSpringer Verlag
Pages382-391
Number of pages10
ISBN (Electronic)978-3-319-26832-3
ISBN (Print)978-3-319-26831-6
DOIs
Publication statusPublished - 2015
Publication typeA4 Article in a conference publication
EventMining Intelligence and Knowledge Exploration -
Duration: 1 Jan 2000 → …

Publication series

NameLecture Notes in Computer Science
Volume9468
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceMining Intelligence and Knowledge Exploration
Period1/01/00 → …

Abstract

In this research paper, motivated by the concept of complex hypercube, a novel class of complex Hadamard matrices are proposed. Based on such class of matrices, a novel transform, called complex Hadamard transform is discussed. In the same spirit of this transform, other complex transforms such as complex Haar transform are proposed. It is expected that these novel complex transforms will find many applications. Also, the associated complex valued orthogonal functions are of theoretical interest.

Keywords

  • Complex signum function, Hadamard matrix, Transforms

Publication forum classification

Field of science, Statistics Finland