Orthogonal Designs: Hadamard Matrices, Quadratic Forms and Algebras
β Scribed by Jennifer Seberry (auth.)
- Publisher
- Springer International Publishing
- Year
- 2017
- Tongue
- English
- Leaves
- 459
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ 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.
β¦ 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
Robinsonβs 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
β¦ Subjects
Combinatorics
π SIMILAR VOLUMES
As a basis of equation and problem-solving, linear algebra is the most widely taught sub-division of pure mathematics. Building on both skills and knowledge attained during A-level and earlier degree modules in linear algebra, "Matrices and Quadratic Forms" provides a lively and accessible introduct
<p>This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices, and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quant
<p><span>Up-to-date resource on Hadamard matrices</span></p><p><span>Hadamard Matrices: Constructions using Number Theory and Algebra </span><span>provides students with a discussion of the basic definitions used for Hadamard Matrices as well as more advanced topics in the subject, including:</span>