Orthogonal Designs Hadamard Matrices, Quadratic Forms and Algebras /

• Main Author: Seberry, Jennifer (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Subjects: Mathematics.; Matrix theory.; Algebra.; Computer mathematics.; Combinatorics.; Linear and Multilinear Algebras, Matrix Theory.; Signal, Image and Speech Processing.; Computational Mathematics and Numerical Analysis.

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...

Table of Contents:

• 1 Orthogonal Designs
• 2 Non-existence Results
• 3 Algebraic Theory of Orthogonal Designs.- 4 Orthogonal Designs Constructed via Plug-in Matrices
• 5 Amicable Orthogonal Designs.- 6 Product Designs and Repeat Designs (Gastineau-Hills)
• 7 Techniques
• 8 Robinson’s Theorem.- 9 Hadamard Matrices and Asymptotic Orthogonal Designs
• 10 Complex, Quaternion and Non Square Orthogonal Designs
• Appendix: A Orthogonal Designs in Order 12,24,48 and 3.q
• B Orthogonal Designs in Order 20, 40 and 80
• C Orthogonal Designs in Order 28 and 56
• D Orthogonal Designs in Order 36, 72
• E Orthogonal Designs in order 44
• F Orthogonal Designs in Powers of 2
• G Some Complementary Sequences
• H Product Designs
• References.