ENGLISH

Orthogonal Designs: Hadamard Matrices, Quadratic Forms and Algebras

By Jennifer Seberry (auth.)

Book information

Publisher
Springer International Publishing
Year
2017
ISBN
978-3-319-59031-8, 978-3-319-59032-5
Language
english
Format
PDF
Filesize
5 MB (5482301 bytes)
Edition
1
Pages
XXIII, 453\459
Time added
2018-02-03 11:00:00
Combinatorics

Description

Orthogonal designs have proved fundamental to constructing code division multiple antenna systems for more efficient mobile communications. Starting with basic theory, this book develops the algebra and combinatorics to create new communications modes. Intended primarily for researchers, it is also useful for graduate students wanting to understand some of the current communications coding theories. Front Matter ....Pages i-xxiii Orthogonal Designs (Jennifer Seberry)....Pages 1-5 Some Algebraic and Combinatorial Non-existence Results (Jennifer Seberry)....Pages 7-17 Algebraic Theory of Orthogonal Designs (Jennifer Seberry)....Pages 19-61 Constructions for Orthogonal Designs via Plug in and Plug into Matrices (Jennifer Seberry)....Pages 63-154 Amicable Orthogonal Designs (Jennifer Seberry)....Pages 155-211 Gastineau-Hills Schemes: Product Designs and Repeat Designs (Jennifer Seberry)....Pages 213-266 Techniques (Jennifer Seberry)....Pages 267-294 Robinson’s Theorem (Jennifer Seberry)....Pages 295-303 Existence of Hadamard Matrices and Asymptotic Existence Results for Orthogonal Designs (Jennifer Seberry)....Pages 305-333 Complex, Quaternion and Non Square Orthogonal Designs (Jennifer Seberry)....Pages 335-356 Back Matter ....Pages 345-430

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