This textbook for a one semester  introductory course in digital signal processing for senior undergraduate and first year graduate students in electrical and computer engineering departments is concise,  highly readable, and  yet provides comprehensive coverage of the topic. Each new topic is presented with examples and figures. The highly mathematical content of the topic is presented lucidly to make the learning the subject easier. Practical aspects of the subject are clearly indicated so that the student can apply the principles in real applications.  Matlab programs for FIR and IIR filter design are provided as supplementary material online.