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Unformatted text preview: 456 CHAPTER 12. WIDE-SENSE STATIONARY PROCESSES 18.104.22.168 Gaussian Approximations When one hears the term white noise, one usually also hears the word Gaussian. Engineers are prone to use the term additive white Gaussian noise (AWGN) to describe a two-fold approxi- mation to some noise sources in electronic systems (e.g., thermal noise). In addition, the (ergodic) assumption that a real process n ( u,t ) can be modeled as Gaussian in practice is a matter of sta- tistical observation and engineering experience, i.e., the model has proved reasonable based on observations, useful in design, and a good predictor of performance in subsequent tests. The following are two models of types of electronic noise that often are assumed to be Gaussian. It should be noted that these models themselves are approximations to real processes, and one should not confuse the fact that a model leads in some way to a Gaussian process, with the corresponding real process being Gaussian. There always is an approximation/assumption, often well justified and supported by experience, that is made when describing a sample function of a real process as AWGN....
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This note was uploaded on 06/03/2011 for the course EE 562a at USC.