?Digital Signal Processing? book was developed based on undergraduates and post graduate level course in digital signal processing over the past years. This book we presented the fundamentals of discrete time signals, systems, and modern digital processing algorithms and application for students in Electronics, Electrical, Computer engineering. The emphasis is on the practical aspects of DSP, implementation issues, tips and tricks and pitfalls and practical applications. Intuitive explanations and appropriate examples are used to develop a fundamental understanding of DSP theory. The coverage in the book is fairly broad from process control to communications. DSP is one of the most powerful technologies that will shape science & engineering in the twenty-first century. Revolutionary changes have already been made in a broad range of fields like communications, medical imaging, radar & sonar, high fidelity music reproduction, and oil prospecting. Each of these areas has developed a deep DSP technology, with its own algorithms, mathematics, and specialized techniques. This Text book is organized into 10 chapters. All chapter start with introduction &included with solved problems.