This book presents the fundamentals of Digital Signal Processing using examples from common Science and Engineering Problems. This book provides an up-to-date and detailed introduction to the fundamentals of processing signals by digital techniques.Essential mathematical tools: DTFS, DTFT, ZT, DFT, FFT explained in detail Emphasis on vital topics: Realizations, Filter Design, Multirate DSP and Quantization.Concepts explained by suitable diagrams backed by mathematical proofs.Oriented towards undergraduates, this introductory book on digital filtering and digital signal processing is pedagogically sound and self-contained: the student is assumed to have only a background in calculus and an exposure to continuous-time linear systems theory. Table of Contents Preface. Discrete-Time Signals and Systems. Analysis of Discrete-Time Systems. The z-Transform. Realization of Digital Systems. Design of Infinite Impulse-Response Digital Filters. Finite Impulse-Response Filter Design. Discrete Fourier Transforms. Fast Fourier-Transform Algorithms.