Applications of Algebra to Communications, Control, and Signal Processing

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 cred...