Digital communications is a rapidly advancing applications area. Significant current activities are in the development of mobile communications equipment for personal use, in the expansion of the available bandwidth (and hence information carrying capacity) of the backbone transmission structure through developments in optical fibre, and in the ubiquitous use of networks for data communications. The aim of this book is fourfold: (1) to present the mathematical theory of signals and systems as required to understand modern digital communications equipment and techniques, (2) to apply and extend these concepts to information transmission links which are robust in the presence of noise and other impairment mechanisms, (3) to show how.