tailieunhanh - Real-Time Digital Signal Processing - Chapter 3: DSP Fundamentals and Implementation Considerations

The derivation of discrete-time systems is based on the assumption that the signal and system parameters have infinite precision. However, most digital systems, filters, and algorithms are implemented on digital hardware with finite wordlength. Therefore DSP implementation with fixed-point hardware requires special attention because of the potential quantization and arithmetic errors, as well as the possibility of overflow. | Real-Time Digital Signal Processing. Sen M Kuo Bob H Lee Copyright 2001 John Wiley Sons Ltd ISBNs 0-470-84137-0 Hardback 0-470-84534-1 Electronic 3 DSP Fundamentals and Implementation Considerations The derivation of discrete-time systems is based on the assumption that the signal and system parameters have infinite precision. However most digital systems filters and algorithms are implemented on digital hardware with finite wordlength. Therefore DSP implementation with fixed-point hardware requires special attention because of the potential quantization and arithmetic errors as well as the possibility of overflow. These effects must always be taken into consideration in DSP system design and implementation. This chapter presents some fundamental DSP concepts in time domain and practical considerations for the implementation of digital filters and algorithms on DSP hardware. Sections and briefly review basic time-domain DSP issues. Section introduces probability and random processes which are useful in analyzing the finite-precision effects in the latter half of the chapter and adaptive filtering in Chapter 8. The rigorous treatment of these subjects can be found in other DSP books listed in the reference. Readers who are familiar with these DSP fundamentals should be able to skip through some of these sections. However most notations used throughout the book will be defined in this chapter. Digital Signals and Systems In this section we will define some widely used digital signals and simple DSP systems. The purpose of this section is to provide the necessary background for understanding the materials presented in subsequent sections and later chapters. Elementary Digital Signals There are several ways to describe signals. For example signals encountered in communications are classified as deterministic or random. Deterministic signals are used 78 DSP FUNDAMENTALS AND IMPLEMENTATION CONSIDERATIONS for testing purposes and for mathematically .