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Probability and random processes : with applications to signal processing and communications (2004)

Miller, Scott L. [Sonstige] ; Childers, Donald G. [Sonstige]

Amsterdam ; Boston : Elsevier Academic Press

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UID:

b3kat_BV036962294

Format: 1 Online-Ressource (xiii, 536 p.) , ill , 24 cm

Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3

ISBN: 0121726517 , 9780121726515

Note: Includes index

Additional Edition: Reproduktion von Probability and random processes c2004

Language: English

Keywords: Sprachverarbeitung ; Wahrscheinlichkeitstheorie ; Stochastischer Prozess

URL: Volltext

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Probability and random processes : with applications to signal processing and communications (2004)

Miller, Scott L. ; Childers, Donald G.

Amsterdam ; : Elsevier Academic Press,

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UID:

almahu_9947366389402882

Format: 1 online resource (551 p.)

Edition: 1st ed.

ISBN: 1-280-96126-0 , 9786610961269 , 0-08-047042-4

Note: Includes index. , Front Cover; Probability and Random Processes; Copyright Page; Contents; Preface; Chapter 1. Introduction; 1.1 A Speech Recognition System; 1.2 A Radar System; 1.3 A Communication Network; Chapter 2. Introduction to Probability Theory; 2.1 Experiments, Sample Spaces, and Events; 2.2 Axioms of Probability; 2.3 Assigning Probabilities; 2.4 Joint and Conditional Probabilities; 2.5 Bayes's Theorem; 2.6 Independence; 2.7 Discrete Random Variables; 2.8 Engineering Application: An Optical Communication System; Chapter 3. Random Variables, Distributions, and Density Functions , 3.1 The Cumulative Distribution Function3.2 The Probability Density Function; 3.3 The Gaussian Random Variable; 3.4 Other Important Random Variables; 3.5 Conditional Distribution and Density Functions; 3.6 Engineering Application: Reliability and Failure Rates; Chapter 4. Operations on a Single Random Variable; 4.1 Expected Value of a Random Variable; 4.2 Expected Values of Functions of Random Variables; 4.3 Moments; 4.4 Central Moments; 4.5 Conditional Expected Values; 4.6 Transformations of Random Variables; 4.7 Characteristic Functions; 4.8 Probability Generating Functions , 4.9 Moment Generating Functions4.10 Evaluating Tail Probabilities; 4.11 Engineering Application: Scalar Quantization; 4.12 Engineering Application: Entropy and Source Coding; Chapter 5. Pairs of Random Variables; 5.1 Joint Cumulative Distribution Functions; 5.2 Joint Probability Density Functions; 5.3 Joint Probability Mass Functions; 5.4 Conditional Distribution, Density, and Mass Functions; 5.5 Expected Values Involving Pairs of Random Variables; 5.6 Independent Random Variables; 5.7 Jointly Gaussian Random Variables; 5.8 Joint Characteristic and Related Functions , 5.9 Transformations of Pairs of Random Variables5.10 Complex Random Variables; 5.11 Engineering Application: Mutual Information, Channel Capacity, and Channel Coding; Chapter 6. Multiple Random Variables; 6.1 Joint and Conditional PMFs, CDFs, and PDFs; 6.2 Expectations Involving Multiple Random Variables; 6.3 Gaussian Random Variables in Multiple Dimensions; 6.4 Transformations Involving Multiple Random Variables; 6.5 Engineering Application: Linear Prediction of Speech; Chapter 7. Random Sequences and Series; 7.1 Independent and Identically Distributed Random Variables , 7.2 Convergence Modes of Random Sequences7.3 The Law of Large Numbers; 7.4 The Central Limit Theorem; 7.5 Confidence Intervals; 7.6 Random Sums of Random Variables; 7.7 Engineering Application: A Radar System; Chapter 8. Random Processes; 8.1 Definition and Classification of Processes; 8.2 Mathematical Tools for Studying Random Processes; 8.3 Stationary and Ergodic Random Processes; 8.4 Properties of the Autocorrelation Function; 8.5 Gaussian Random Processes; 8.6 Poisson Processes; 8.7 Engineering Application: Shot Noise in a p-n Junction Diode; Chapter 9. Markov Processes , 9.1 Definition and Examples of Markov Processes , English

Additional Edition: ISBN 1-4933-0026-1

Additional Edition: ISBN 0-12-172651-7

Language: English

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Probability and random processes : with applications to signal processing and communications (2004)

Miller, Scott L. ; Childers, Donald G.

Amsterdam : Elsevier Academic Press

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Details

UID:

gbv_165609794X

Format: Online Ressource (xiii, 536 p.) , ill.

Edition: Online-Ausg.

ISBN: 9780121726515 , 0121726517 , 0080470424 , 9780080470429

Content: Preface -- 1. Introduction -- 2. Introduction to Probability Theory -- 3. Random Variables, Distributions and Density Functions -- 4. Operations on a Single Random Variable -- 5. Pairs of Random Variables -- 6. Multiple Random Variables -- 7. Random Sequences and Series -- 8. Random Processes -- 9. Markov Processes -- 10. Power Spectral Density -- 11. Random Processes in Linear Systems -- 12. Simulation Techniques -- Appendices

Content: Miller and Childers have focused on creating a clear presentation of foundational concepts with specific applications to signal processing and communications, clearly the two areas of most interest to students and instructors in this course. It is aimed at graduate students as well as practicing engineers, and includes unique chapters on narrowband random processes and simulation techniques. The appendices provide a refresher in such areas as linear algebra, set theory, random variables, and more. Probability and Random Processes also includes applications in digital communications, information theory, coding theory, image processing, speech analysis, synthesis and recognition, and other fields. * Exceptional exposition and numerous worked out problems make the book extremely readable and accessible * The authors connect the applications discussed in class to the textbook * The new edition contains more real world signal processing and communications applications * Includes an entire chapter devoted to simulation techniques

Note: Includes index. - Description based on print version record , English

Additional Edition: ISBN 0121726517

Additional Edition: Erscheint auch als Druck-Ausgabe Miller, Scott L. Probability and random processes Amsterdam : Elsevier Academic Press, 2004 ISBN 0121726517

Additional Edition: Erscheint auch als Druck-Ausgabe Miller, Scott L Probability and random processes Amsterdam ; Boston : Elsevier Academic Press, c2004

Language: English

Keywords: Sprachverarbeitung ; Wahrscheinlichkeitstheorie ; Stochastischer Prozess ; Electronic books ; Electronic books

DOI: 10.1016/B978-0-12-172651-5.X5000-3

URL: https://doi.org/10.1016/B978-0-12-172651-5.X5000-3

URL: Volltext (Deutschlandweit zugänglich)

URL: lizenzpflichtig

URL: Inhaltstext

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