Applications of Algebra to Communications, Control, and Signal Processing

• Main Author: Boston, Nigel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2012.
• Series: SpringerBriefs in Computer Science,
• Subjects: Engineering.; Data structures (Computer science).; Signal, Image and Speech Processing.; Data Structures, Cryptology and Information Theory.

 Over the last 50 years there have been an increasing number of applications of algebraic tools to solve problems in communications, in particular in the fields of error-control codes and cryptography. More recently, broader applications have emerged, requiring quite sophisticated algebra - for example, the Alamouti scheme in MIMO communications is just Hamilton's quaternions in disguise and has spawned the use of PhD-level algebra to produce generalizations. Likewise, in the absence of credible alternatives, the industry has in many cases been forced to adopt elliptic curve cryptography. In addition, algebra has been successfully applied to problems in signal processing such as face recognition, biometrics, control design, and signal design for radar. This book introduces the reader to the algebra they need to appreciate these developments and to various problems solved by these techniques. 

 Introduction -- Algebraic Tools -- Traditional Applications -- Recent Applications to Communications -- Emerging Applications to Signal Processing -- Glossary.