This document provides an introduction to digital signal processors (DSPs). It outlines the historical development of DSPs, from early transistor-based processors in the 1970s to modern 4th generation DSPs with specialized instruction sets and architectures. The document also discusses the large and growing DSP market, the internal architecture of DSPs including Harvard architecture and multiply-accumulate functions, and applications of DSPs such as automotive, communications, consumer electronics, and more. Examples of DSP applications in music processing are also provided.