Hadamard Matrices and Their Applications / / K. J. Horadam.
In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2012] ©2007 |
Year of Publication: | 2012 |
Edition: | Core Textbook |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (280 p.) :; 8 line illus. |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9781400842902 |
---|---|
ctrlnum |
(DE-B1597)453630 (OCoLC)979578974 |
collection |
bib_alma |
record_format |
marc |
spelling |
Horadam, K. J., author. aut http://id.loc.gov/vocabulary/relators/aut Hadamard Matrices and Their Applications / K. J. Horadam. Core Textbook Princeton, NJ : Princeton University Press, [2012] ©2007 1 online resource (280 p.) : 8 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface. ACKNOWLEDGEMENTS -- Chapter One. Introduction -- PART 1. Hadamard Matrices, Their Applications and Generalisations -- Chapter Two. Hadamard Matrices -- Chapter Three. Applications in Signal Processing, Coding and Cryptography -- Chapter Four. Generalised Hadamard Matrices -- Chapter Five. Higher Dimensional Hadamard Matrices -- PART 2. Cocyclic Hadamard Matrices -- Chapter Six. Cocycles and Cocyclic Hadamard Matrices -- Chapter Seven. The Five-fold Constellation -- Chapter Eight. Bundles and Shift Action -- Chapter Nine. The Future: Novel Constructions and Applications -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book's second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation. This identifies cocyclic generalized Hadamard matrices with particular "stars" in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Hadamard matrices. MATHEMATICS / Applied. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691119212 https://doi.org/10.1515/9781400842902 https://www.degruyter.com/isbn/9781400842902 Cover https://www.degruyter.com/cover/covers/9781400842902.jpg |
language |
English |
format |
eBook |
author |
Horadam, K. J., Horadam, K. J., |
spellingShingle |
Horadam, K. J., Horadam, K. J., Hadamard Matrices and Their Applications / Frontmatter -- Contents -- Preface. ACKNOWLEDGEMENTS -- Chapter One. Introduction -- PART 1. Hadamard Matrices, Their Applications and Generalisations -- Chapter Two. Hadamard Matrices -- Chapter Three. Applications in Signal Processing, Coding and Cryptography -- Chapter Four. Generalised Hadamard Matrices -- Chapter Five. Higher Dimensional Hadamard Matrices -- PART 2. Cocyclic Hadamard Matrices -- Chapter Six. Cocycles and Cocyclic Hadamard Matrices -- Chapter Seven. The Five-fold Constellation -- Chapter Eight. Bundles and Shift Action -- Chapter Nine. The Future: Novel Constructions and Applications -- Bibliography -- Index |
author_facet |
Horadam, K. J., Horadam, K. J., |
author_variant |
k j h kj kjh k j h kj kjh |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Horadam, K. J., |
title |
Hadamard Matrices and Their Applications / |
title_full |
Hadamard Matrices and Their Applications / K. J. Horadam. |
title_fullStr |
Hadamard Matrices and Their Applications / K. J. Horadam. |
title_full_unstemmed |
Hadamard Matrices and Their Applications / K. J. Horadam. |
title_auth |
Hadamard Matrices and Their Applications / |
title_alt |
Frontmatter -- Contents -- Preface. ACKNOWLEDGEMENTS -- Chapter One. Introduction -- PART 1. Hadamard Matrices, Their Applications and Generalisations -- Chapter Two. Hadamard Matrices -- Chapter Three. Applications in Signal Processing, Coding and Cryptography -- Chapter Four. Generalised Hadamard Matrices -- Chapter Five. Higher Dimensional Hadamard Matrices -- PART 2. Cocyclic Hadamard Matrices -- Chapter Six. Cocycles and Cocyclic Hadamard Matrices -- Chapter Seven. The Five-fold Constellation -- Chapter Eight. Bundles and Shift Action -- Chapter Nine. The Future: Novel Constructions and Applications -- Bibliography -- Index |
title_new |
Hadamard Matrices and Their Applications / |
title_sort |
hadamard matrices and their applications / |
publisher |
Princeton University Press, |
publishDate |
2012 |
physical |
1 online resource (280 p.) : 8 line illus. Issued also in print. |
edition |
Core Textbook |
contents |
Frontmatter -- Contents -- Preface. ACKNOWLEDGEMENTS -- Chapter One. Introduction -- PART 1. Hadamard Matrices, Their Applications and Generalisations -- Chapter Two. Hadamard Matrices -- Chapter Three. Applications in Signal Processing, Coding and Cryptography -- Chapter Four. Generalised Hadamard Matrices -- Chapter Five. Higher Dimensional Hadamard Matrices -- PART 2. Cocyclic Hadamard Matrices -- Chapter Six. Cocycles and Cocyclic Hadamard Matrices -- Chapter Seven. The Five-fold Constellation -- Chapter Eight. Bundles and Shift Action -- Chapter Nine. The Future: Novel Constructions and Applications -- Bibliography -- Index |
isbn |
9781400842902 9783110442502 9780691119212 |
url |
https://doi.org/10.1515/9781400842902 https://www.degruyter.com/isbn/9781400842902 https://www.degruyter.com/cover/covers/9781400842902.jpg |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512.9434 |
dewey-sort |
3512.9434 |
dewey-raw |
512.9434 |
dewey-search |
512.9434 |
doi_str_mv |
10.1515/9781400842902 |
oclc_num |
979578974 |
work_keys_str_mv |
AT horadamkj hadamardmatricesandtheirapplications |
status_str |
n |
ids_txt_mv |
(DE-B1597)453630 (OCoLC)979578974 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
is_hierarchy_title |
Hadamard Matrices and Their Applications / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
_version_ |
1770176668114092032 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04495nam a22006735i 4500</leader><controlfield tag="001">9781400842902</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20210830012106.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">210830t20122007nju fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400842902</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400842902</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)453630</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979578974</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">nju</subfield><subfield code="c">US-NJ</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT003000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">512.9434</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Horadam, K. J., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Hadamard Matrices and Their Applications /</subfield><subfield code="c">K. J. Horadam.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Core Textbook</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2012]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (280 p.) :</subfield><subfield code="b">8 line illus.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Preface. ACKNOWLEDGEMENTS -- </subfield><subfield code="t">Chapter One. Introduction -- </subfield><subfield code="t">PART 1. Hadamard Matrices, Their Applications and Generalisations -- </subfield><subfield code="t">Chapter Two. Hadamard Matrices -- </subfield><subfield code="t">Chapter Three. Applications in Signal Processing, Coding and Cryptography -- </subfield><subfield code="t">Chapter Four. Generalised Hadamard Matrices -- </subfield><subfield code="t">Chapter Five. Higher Dimensional Hadamard Matrices -- </subfield><subfield code="t">PART 2. Cocyclic Hadamard Matrices -- </subfield><subfield code="t">Chapter Six. Cocycles and Cocyclic Hadamard Matrices -- </subfield><subfield code="t">Chapter Seven. The Five-fold Constellation -- </subfield><subfield code="t">Chapter Eight. Bundles and Shift Action -- </subfield><subfield code="t">Chapter Nine. The Future: Novel Constructions and Applications -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book's second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation. This identifies cocyclic generalized Hadamard matrices with particular "stars" in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Hadamard matrices.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Applied.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton University Press eBook-Package Backlist 2000-2013</subfield><subfield code="z">9783110442502</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9780691119212</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400842902</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400842902</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/cover/covers/9781400842902.jpg</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013</subfield><subfield code="c">2000</subfield><subfield code="d">2013</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_PPALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield></record></collection> |