LEADER 03546nam 22006375 450 001 9910254293203321 005 20200703055020.0 010 $a3-319-59032-4 024 7 $a10.1007/978-3-319-59032-5 035 $a(CKB)4340000000223227 035 $a(DE-He213)978-3-319-59032-5 035 $a(MiAaPQ)EBC5153567 035 $a(PPN)22125403X 035 $a(EXLCZ)994340000000223227 100 $a20171121d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOrthogonal Designs $eHadamard Matrices, Quadratic Forms and Algebras /$fby Jennifer Seberry 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XXIII, 453 p. 10 illus.) 311 $a3-319-59031-6 320 $aIncludes bibliographical references and index. 327 $a1 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. 330 $aOrthogonal 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. 606 $aCombinatorial analysis 606 $aMatrix theory 606 $aAlgebra 606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aComputer science$xMathematics 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 615 0$aCombinatorial analysis. 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aSignal processing. 615 0$aImage processing. 615 0$aSpeech processing systems. 615 0$aComputer science$xMathematics. 615 14$aCombinatorics. 615 24$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aSignal, Image and Speech Processing. 615 24$aComputational Mathematics and Numerical Analysis. 676 $a511.6 700 $aSeberry$b Jennifer$4aut$4http://id.loc.gov/vocabulary/relators/aut$056913 906 $aBOOK 912 $a9910254293203321 996 $aOrthogonal Designs$91562553 997 $aUNINA