Power Spectral Density of Standard Random Processes — Part 1 In Chapters 5 and 6 the power spectral density of commonly encountered random processes are given in detail. Specifically, the power spectral density of random processes associated with signaling, quantization, jitter, and shot noise are discussed in this chapter, while the power spectral density associated with sampling, quadrature amplitude modulation, random walks, and 1/ f noise, are discussed in Chapter 6. | Principles of Random Signal Analysis and Low Noise Design The Power Spectral Density and Its Applications. Roy M. Howard Copyright 2002 John Wiley Sons Inc. ISBN 0-471-22617-3 5 Power Spectral Density of Standard Random Processes Part 1 INTRODUCTION In Chapters 5 and 6 the power spectral density of commonly encountered random processes are given in detail. Specifically the power spectral density of random processes associated with signaling quantization jitter and shot noise are discussed in this chapter while the power spectral density associated with sampling quadrature amplitude modulation random walks and 1 f noise are discussed in Chapter 6. In this chapter the random processes discussed have a general form that is associated with signaling and the terminology of a signaling random process is introduced. The results associated with signaling random processes are used in Chapter 7 to detail an approach for determining the power spectral density of a random process after a nonlinear memoryless transformation. SIGNALING RANDOM PROCESSES As defined below the signal form associated with signaling is such that signaling random processes are found in models for a diverse range of physical processes. For example signaling random processes include baseband and certain bandpass communication processes. The signal form of interest is that of an information signal. Definition Information Signal An information signal is one generated by a sum of signals from a signaling set where one signal is associated with each 138 SIGNALING RANDOM PROCESSES 139 signaling interval of D sec. With a signaling set E an information signal has the form X Mvi t _ i 1 D i i where 0 e E and is an index variable which defines the signal from E that is associated with the ith signaling interval i 1 D iD . Definition Signaling Random Process A signaling random process X is one whose ensemble consists of information signals. The ensemble Ex characterizing such a random process for the .
