Mathematical Aspects of Signal Processing (Relié)

This book presents the mathematical concepts and their interpretations in the field of signal processing. The author's aim is to demonstrate how advanced signal processing applications are structured on the basic mathematical concepts. Identifying four areas of mathematics including function representation, generalized inverse, modal decomposition and optimization, the book illustrates how basic concepts transcend into mathematical methods, and mathematical methods perform signal processing tasks.
While presenting the theorems of mathematics, the book's emphasis lies on applications and interpretations. Simulations by MATLAB programs and graphical representations of the simulated results are provided to introduce the computational side of signal processing algorithms. It also includes a large number of signal processing applications and practice problems for better understanding of the concepts discussed.
The book is ideal for advanced undergraduates and beginning graduate students from various disciplines of science and engineering, as well as for researchers and practicing engineers engaged in signal processing.