Chapter 12 - Applications of Discrete-Time Signals and Systems

Abstract

This chapter presents applications of the theory of discrete-time signals and systems to three important areas: digital signal processing, digital control, and digital communications. It discusses how the theoretical results related to digital signal processing, digital control, and digital communications. Due to advances in digital technologies and computers, processing of signals is being done digitally. Early results in sampling, analog-to-digital conversion, and the fast computation of the output of linear systems using the Fast Fourier Transform (FFT), made it possible for digital signal processing to become a technical area on its own. The fast Fourier transform made possible the establishment and significant growth of digital signal processing as a technical area. The theory of sampled data shows the connection between the Laplace and the Z-transform. The difficulty in the analysis of these systems is the mixing of continuous and discrete-time signals. Digital communication systems provide a more efficient way to communicate information than analog communication systems, but they are more demanding in terms of bandwidth. Efficient use of the radio spectrum and efficient processing has become the objectives of modern wireless communication systems such as spread spectrum and orthogonal frequency-division multiplexing. The chapter also discusses the connection of the discrete-time signals and systems with digital control and communications. Theory and applications of digital signal processing, preferably including some theory of random variables and processes, toward statistical signal processing, speech, and image processing are presented in the chapter.