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Orthogonal Designs: Hadamard Matrices, Quadratic Forms and Algebras

✍ Scribed by Jennifer Seberry (auth.)


Publisher
Springer International Publishing
Year
2017
Tongue
English
Leaves
459
Edition
1
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


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

✦ Subjects


Combinatorics


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