This concise introduction to probability theory for undergraduate electrical engineers offers a logical organization which stresses the fundamentals of the subject. The topics have been chosen to flow logically from simple to advanced. Examples and applications illustrating the theory are featured throughout the book, including discussions of noise figures and noise and random signals in systems, and over 800 exercises are included. This edition has added coverage of poisson random processes, measurement of power spectra, and computer generation of random variables. It has added several new fully-worked examples and exercises at the end of chapters. Also available is a solutions manual (0-07-049274-3).
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Digital Topics: The new discrete-time material includes coverage of sampling theorems (baseband and bandpass) for random processes as a foundation for the DT material. This material is placed in Chapter 8 for clear exposure. Correlation functions and power spectrums for these processes, which are developed and connected through the sampling theorems and the DT Fourier transforms, are covered in Chapters 7 and 8, with some introduction in sections 6.1-6.3. The structure of linear DT digital systems is developed in both the sequence and transform domains.
Other additions: Other additions include more examples within the text, NEW chapter-end summaries, expanded discussions of probability as a relative frequency, material on permutations and combinations, more details on random variable transformations, ergodicity, important inequalities and the weak and strong laws of large numbers.
Problems: Unlike the previous editions, chapter-ending problems have now been combined into a single list with numbering that corresponds to the chapter's section to which the problems mainly apply. Additional problems have been added to the new edition.
Starred sections: The level of the material is intended for a typical undergraduate program. However a small amount of more advanced material has been scattered throughout the book to serve as stimulation for the more advanced student or for schools using the book at a higher level. These sections are indicated by a star (-).
MATLAB-based examples and problems have been integrated into the text in key places (indicated by a computer icon).
Appendixes: Important new material has been added to Appendix A, useful properties of impulse functions, while an entire new appendix has been added, Appendix G, covering various mathematical topics of interest, including Leibniz's rule and Schwarz's Inequality. As in previous editions, the appendixes also include important review material for the students.
The book has an expanded web site that includes a downloadable version of the solutions manual, as well as JPEG files of the book's figures.
Peyton Peebles. Profesor Emérito de Ingeniería Eléctrica e Informática. Universidad de Florida
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