Random Signals for Engineers Using MATLAB® and Mathcad®

Richard C. Jaffe

ISBN 10: 1461270472 / ISBN 13: 9781461270478

Editore: Springer New York Mrz 2013, 2013

Riguardo questo articolo

This item is printed on demand - it takes 3-4 days longer - Neuware -This introduction to random variables and signals provides engineering students with the analytical and computational tools for processing random signals using linear systems. It presents the underlying theory as well as examples and applications using computational aids throughout, in particular, computer-based symbolic computation programs are used for performing the analytical manipulations and the numerical calculations. Intended for a one-semester course for advanced undergraduate or beginning graduate students, the book covers such topics as: set theory and probability; random variables, distributions, and processes; deterministic signals, spectral properties, and transformations; and filtering, and detection theory. The large number of worked examples together with the programming aids make the book eminently suited for self study as well as classroom use. 392 pp. Englisch.

Codice articolo 9781461270478

Dati bibliografici

• Titolo: Random Signals for Engineers Using MATLAB® and Mathcad®
• Editore: Springer New York Mrz 2013
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 1461270472
• ISBN 13: 9781461270478
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 22 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 22 millimetri di profondità
• Peso: 593 grammi

Descrizione articolo

Riassunto

This introduction to random variables and signals for advanced undergraduates or beginning graduate students provides the analytical and computational tools for processing random signals. It uses Mathcad and Matlab to present the underlying theory and for a large number of examples and applications. The book is eminently suited for self study as well as classroom use.

Contenuti

1 Introduction to Sets and Probability.- 1.1 Introduction to Nondeterministic Signals.- 1.2 Introduction to Sets.- 1.3 Operations on Sets.- 1.4 Combined Operations on Sets.- 1.5 Notion of Probability.- 1.6 Relative Frequency and Probability.- 1.7 Conditional Probability.- 1.8 Total Probability.- 1.9 Independence.- 1.10 Summary.- Problems for Chapter 1.- 2 One-Dimensional Random Variables.- 2.1 Concept of Distributions.- 2.2 Random Variables.- 2.3 Distribution Functions.- 2.4 Density Functions.- 2.5 Continuous Density Functions.- 2.6 Conditional Distribution and Density Functions.- 2.7 Generation of Random Numbers.- 2.8 Summary.- Problems for Chapter 2.- 3 Operations on Random Numbers.- 3.1 Concept of Expectation.- 3.2 Moments and Functions.- 3.3 Moment Generating Functions.- 3.4 Transformation of Random Variables.- 3.5 Random Variables with Prescribed Distributions.- 3.6 Summary.- Problems for Chapter 3.- 4 Two-Dimensional Random Variables.- 4.1 Joint Distribution and Density Functions.- 4.2 Conditional Density Functions.- 4.3 Expectation and Joint Moments.- 4.4 Transformations and Joint Characteristic Functions.- 4.5 Independence.- 4.6 Sum of Independent Random Variables.- 4.7 Generation of Correlated Gaussian Random Sequences.- 4.8 Summary.- Problems for Chapter 4.- 5 Introduction to Random Processes.- 5.1 Methods of Generation of Random Processes.- 5.2 IID Random Variables.- 5.3 Distribution Functions for a Random Process.- 5.4 Properties of Expectation Operators.- 5.5 Properties of the Correlation Functions.- 5.6 Numerical Computation of the Correlation Function.- 5.7 Summary.- Problems for Chapter 5.- 6 Introduction to Transformations.- 6.1 Function Transformation of Random Processes.- 6.2 Transformation by Integration.- 6.3 Transformation by Differentiation.- 6.4 Linear Systems.- 6.5 Power Spectrum Functions.- 6.6 Transforms of Linear Systems.- 6.7 Calculation of Power Density Spectrum.- 6.8 Summary.- Problems for Chapter 6.- 7 Introduction to Applications.- 7.1 Matched Filtering.- 7.2 Mean Square Filtering.- 7.3 Detection Theory.- 7.4 Radar Systems.- 7.5 Noise in Control Systems.- Problems for Chapter 7.- Appendix A.- A.l Signals and Spectra.- A.2 Singularity Functions.- A.3 Linear-Time-Invariant Systems.- A.4 Correlation Functions.- Appendix B.- B.1 Matlab and Mathcad.- B.2 Matlab.- B.3 Mathcad.- B.4 Contents of the CD-ROM.- References.