Probability, random variables, and random signal principles:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
McGraw-Hill
1993
|
| Edition: | 3. ed. |
| Series: | Communications and signal processing
McGraw-Hill series in electrical and computer engineering |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Erg. bildet: Peebles, Peyton Z.: Solutions manual to accompany "Probability, random variables, and random signal principles" |
| Physical Description: | XXIII, 401 S. Ill., graph. Darst. |
| ISBN: | 0071127828 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804124090562248704 |
|---|---|
| adam_text | CONTENTS
Preface to the Third Edition xvii
Preface to the Second Edition xix
Preface to the First Edition xxi
Chapter 1 Probability l
1.0 Introduction to Book and Chapter 1
1.1 Set Definitions 3
1.2 Set Operations 5
Venn Diagram / Equality and Difference / Union and
Intersection / Complement / Algebra of Sets / De
Morgan s Laws / Duality Principle
1.3 Probability Introduced Through Sets 8
Experiments and Samples Spaces / Discrete and
Continuous Sample Spaces / Events / Probability
Definition and Axioms / Mathematical Model of
Experiments
1.4 Joint and Conditional Probability 13
Joint Probability / Conditional Probability / Total
Probability / Bayes Theorem
1.5 Independent Events 19
Two Events / Multiple Events / Properties of Independent
Events
*1.6 Combined Experiments 22
?Combined Sample Space / ^Events on the Combined
Space / *Probabilities
1.7 Bernoulli Trials 25
Problems 29
Additional Problems, Second Edition 33
Additional Problems, Third Edition 35
* Star indicates more advanced material.
XiV CONTENTS
6.3 Correlation Functions 173
Autocorrelation Function and Its Properties /
Cross Correlation Function and Its Properties /
Covariance Functions
6.4 Measurement of Correlation Functions 178
6.5 Gaussian Random Processes 180
6.6 Poisson Random Process 181
Probability Density Function /
Joint Probability Density
*6.7 Complex Random Processes 184
Problems 186
Additional Problems, Second Edition 193
Additional Problems, Third Edition 196
Chapter 7 Spectral Characteristics of Random Processes 199
7.0 Introduction 199
7.1 Power Density Spectrum and Its Properties 200
The Power Density Spectrum / Properties of the Power
Density Spectrum / Bandwidth of the Power Density
Spectrum
7.2 Relationship between Power Spectrum and Autocorrelation
Function 206
7.3 Cross Power Density Spectrum and Its Properties 209
The Cross Power Density Spectrum / Properties of the
Cross Power Density Spectrum
*7.4 Relationship between Cross Power Spectrum and
Cross Correlation Function 212
7.5 Some Noise Definitions and other Topics 214
White and Colored Noise / Product Device Response
to a Random Signal
*7.6 Power Spectrums of Complex Processes 221
Problems 222
Additional Problems, Second Edition 228
Additional Problems, Third Edition 232
Chapter 8 Linear Systems with Random Inputs 235
8.0 Introduction 235
8.1 Linear System Fundamentals 236
The General Linear System / Linear Time Invariant
Systems / Time Invariant System Transfer Function /
Idealized Systems / Causal and Stable Systems
8.2 Random Signal Response of Linear Systems 241
System Response—Convolution / Mean and Mean Squared
Value of System Response / Autocorrelation
Function of Response / Cross Correlation Functions
of Input and Output
8.3 System Evaluation Using Random Noise 245
CONTENTS XV
8.4 Spectral Characteristics of System Response 246
Power Density Spectrum of Response / Cross Power
Density Spectrums of Input and Output /
Measurement of Power Density Spectrums
8.5 Noise Bandwidth 252
*8.6 Bandpass, Band Limited, and Narrowband Processes 253
*Band Limited Processes / *Narrowband Processes /
?Properties of Band Limited Processes / *Proof of
Properties of Band Limited Processes
8.7 Modeling of Noise Sources 261
Resistive (Thermal) Noise Source / Arbitrary Noise
Sources, Effective Noise Temperature / An Antenna as a
Noise Source
8.8 Incremental Modeling of Noisy Networks 267
Available Power Gain / Equivalent Networks, Effective
Input Noise Temperature / Spot Noise Figures
8.9 Modeling of Practical Noisy Networks 271
Average Noise Figures / Average Noise
Temperatures / Modeling of Attenuators /
Model of Example System
Problems 276
Additional Problems, Second Edition 287
Additional Problems, Third Edition 292
Chapter 9 Optimum Linear Systems 298
9.0 Introduction 298
9.1 Systems That Maximize Signal to Noise Ratio 299
Matched Filter for Colored Noise / Matched Filter
for White Noise
9.2 Systems That Minimize Mean Squared Error 303
Wiener Filters / Minimum Mean Squared Error
9.3 Optimization by Parameter Selection 307
Problems 308
Additional Problems, Second Edition 312
Additional Problems, Third Edition 316
Chapter 10 Some Practical Applications of the Theory 319
10.0 Introduction 319
10.1 Noise in an Amplitude Modulation Communication System 320
AM System and Waveforms / Noise Performance
10.2 Noise in a Frequency Modulation Communication System 324
FM System and Waveforms / FM System Performance
10.3 Noise in a Simple Control System 329
Transfer Function / Error Function / Wiener Filter
Application
10.4 Noise in a Phase Locked Loop 333
Phase Detector / Loop Transfer Function / Loop Noise
Performance
Xvi CONTENTS
10.5 Characteristics of Random Computer Type Waveform 340
Process Description / Power Spectrum / Autocorrelation
Function
10.6 Envelope and Phase of a Sinusoidal Signal Plus Noise 342
Waveforms / Probability Density of the
Envelope / Probability Density of Phase
10.7 Radar Detection Using a Single Observation 346
False Alarm Probability and Threshold / Detection
Probability
Problems 350
Additional Problems, Third Edition 355
Appendix A Review of the Impulse Function 357
Appendix B Gaussian Distribution Function 360
Appendix C Useful Mathematical Quantities 363
Trigonometric Identities 363
Indefinite Integrals 364
Rational Algebraic Functions / Trigonometric
Functions / Exponential Functions
Definite Integrals 366
Finite Series 367
Infinite Series 367
Appendix D Review of Fourier Transforms 368
Existence 369
Properties 369
Linearity / Time and Frequency Shifting / Scaling /
Duality / Differentiation / Integration / Conjugation /
Convolution / Correlation / Parseval s Theorem
Multidimensional Fourier Transforms 371
Problems 372
Additional Problems, Third Edition 375
Appendix E Table of Useful Fourier Transforms 377
Appendix F Some Probability Densities and Distributions 379
Discrete Functions 380
Bernoulli / Binomial / Pascal / Poisson
Continuous Functions 382
Arcsine / Beta / Cauchy / Chi Square with N Degrees
of Freedom / Erlang / Exponential / Gamma /
Gaussian Univariate / Gaussian Bivariate / Laplace /
Log Normal / Rayleigh / Rice / Uniform / Weibull
Bibliography 389
Index 393
|
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| author | Peebles, Peyton Z. |
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Informatik Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV009744892 |
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| language | English |
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| publishDate | 1993 |
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| series2 | Communications and signal processing McGraw-Hill series in electrical and computer engineering |
| spelling | Peebles, Peyton Z. Verfasser aut Probability, random variables, and random signal principles Peyton Z. Peebles 3. ed. New York u.a. McGraw-Hill 1993 XXIII, 401 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Communications and signal processing McGraw-Hill series in electrical and computer engineering Erg. bildet: Peebles, Peyton Z.: Solutions manual to accompany "Probability, random variables, and random signal principles" Probabilidade aplicada larpcal Probabilities Random variables Signal theory (Telecommunication) Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Stochastisches Signal (DE-588)4140374-5 gnd rswk-swf Zufallsvariable (DE-588)4129514-6 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Stochastisches Signal (DE-588)4140374-5 s DE-604 Zufallsvariable (DE-588)4129514-6 s 1\p DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 2\p DE-604 Stochastischer Prozess (DE-588)4057630-9 s 3\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006445147&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Peebles, Peyton Z. Probability, random variables, and random signal principles Probabilidade aplicada larpcal Probabilities Random variables Signal theory (Telecommunication) Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Stochastisches Signal (DE-588)4140374-5 gnd Zufallsvariable (DE-588)4129514-6 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| subject_GND | (DE-588)4079013-7 (DE-588)4140374-5 (DE-588)4129514-6 (DE-588)4057630-9 |
| title | Probability, random variables, and random signal principles |
| title_auth | Probability, random variables, and random signal principles |
| title_exact_search | Probability, random variables, and random signal principles |
| title_full | Probability, random variables, and random signal principles Peyton Z. Peebles |
| title_fullStr | Probability, random variables, and random signal principles Peyton Z. Peebles |
| title_full_unstemmed | Probability, random variables, and random signal principles Peyton Z. Peebles |
| title_short | Probability, random variables, and random signal principles |
| title_sort | probability random variables and random signal principles |
| topic | Probabilidade aplicada larpcal Probabilities Random variables Signal theory (Telecommunication) Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Stochastisches Signal (DE-588)4140374-5 gnd Zufallsvariable (DE-588)4129514-6 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Probabilidade aplicada Probabilities Random variables Signal theory (Telecommunication) Wahrscheinlichkeitstheorie Stochastisches Signal Zufallsvariable Stochastischer Prozess |
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