Bridging the gap between parallel computer architectures and the creation of parallel digital signal processing (DSP) algorithms, this self-contained reference/text offers a modern approach to digital signal processing utilizing the unified signal algebra environment, developed in the text, to construct naturally occurring parallel DSP algorithms. Focusing on digital signal to digital signal operation, A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing uses bound matrices to describe digital signals specifies operations on digital signals with block diagrams employs six fundamental operations to form all other DSP operations under function composition consistent with reduced instruction set computer philosophy shows how to use two-dimensional techniques to optimize processing of single-dimensional digital signals explains two-dimensional wraparound signals and the algebraic environment necessary for processing discusses the Z-transform in relation to the algorithms presented and more! In the classroom, A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing furnishes important didactic features, including a host of examples execution-type traces of block diagram algorithms end-of-chapter exercises Generously illustrated and containing over 800 display equations, A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing is a practical reference for applied mathematicians and algebraists, electrical and electronics engineers, signal processors, and computer scientists, and an excellent text for graduate-level students taking courses in digital signal processing, computer algebra, or parallel computational algorithms.