Hadamard Matrices

This book, which is the update of a 1992 survey by the same authors, summarizes some known constructions of Hadamard Matrices that are based on algebraic and number theoretic methods. Hadamard matrices are of practical use in signal processing and design experiments among other applications. This book begins with basic definitions, and is followed by a chapter on Gauss sums, Jacobi sums and relative Gauss sums. Next, the authors discuss plug-in matrices, arrays, and sequences. M-structure is covered next, along with Menon Hadamard differences sets and regular Handmard matrices. The authors then discuss Paley difference sets, skew-Handmard matrices, and skew Handmard differences sets. Finally, the book concludes with a discussion of asymptotic existence of Handmard matrices and more on maximal determinant matrices.

Aceasta carte, care este actualizarea unui sondaj din 1992 realizat de aceiasi autori, rezuma cateva constructii cunoscute ale matricilor Hadamard care se bazeaza pe metode algebrice si teoretice ale numerelor. Matricile Hadamard sunt utile in procesarea semnalului si experimentele de proiectare, printre alte aplicatii.