Detection of signals in noise. (©1995)
- Record Type:
- Book
- Title:
- Detection of signals in noise. (©1995)
- Main Title:
- Detection of signals in noise.
- Other Names:
- McDonough, Robert N
Whalen, Anthony D
Whalen, Anthony D - Contents:
- Front Cover; Detection of Signals in Noise; Copyright Page; Dedication; Table of Contents; Preface; Chapter 1. Probability; 1.1 Probability in Brief; 1.2 Conditional Probability and Statistical Independence; 1.3 Probability Distribution Functions; 1.4 Continuous Random Variables; 1.5 Functions of Random Variables; 1.6 Characteristic Functions; 1.7 Expectation and Moments; 1.8 Complex Random Variables; Exercises; Chapter 2. Random Processes; 2.1 Introduction; 2.2 Relation to Probability; 2.3 Ensemble Correlation Functions; 2.4 Time Averages; 2.5 Power Spectral Density. 2.6 Response of Linear FiltersExercises; Chapter 3. Narrowband Signals; 3.1 The Analytic Signal; 3.2 Narrowband Signals; 3.3 Hilbert Transform; 3.4 Narrowband Filters; 3.5 Narrowband Processes; 3.6 Determination of the Complex Envelope; 3.7 Fourier Series Representation; Exercises; Chapter 4. Gaussian Derived Processes; 4.1 The Gaussian Probability Density; 4.2 The Central Limit Theorem; 4.3 Sum of a Sine Wave and a Gaussian Process; 4.4 Distribution of the Envelope of a Narrowband Process; 4.5 Envelope of a Narrowband Signal Plus Narrowband Noise. 4.6 Squared Envelope of a Narrowband Noise Process4.7 The Chi-Squared Density; 4.8 Squared Envelope of a Sine Wave Plus a Narrowband Process; 4.9 Noncentral Chi-Squared Density; 4.10 Student's t-Density; 4.11 Snedecor's F-Density; Exercises; Chapter 5. Hypothesis Testing; 5.1 Introduction; 5.2 A Simple Detection Problem; 5.3 The Neyman-Pearson Criterion; 5.4 Bayes'Front Cover; Detection of Signals in Noise; Copyright Page; Dedication; Table of Contents; Preface; Chapter 1. Probability; 1.1 Probability in Brief; 1.2 Conditional Probability and Statistical Independence; 1.3 Probability Distribution Functions; 1.4 Continuous Random Variables; 1.5 Functions of Random Variables; 1.6 Characteristic Functions; 1.7 Expectation and Moments; 1.8 Complex Random Variables; Exercises; Chapter 2. Random Processes; 2.1 Introduction; 2.2 Relation to Probability; 2.3 Ensemble Correlation Functions; 2.4 Time Averages; 2.5 Power Spectral Density. 2.6 Response of Linear FiltersExercises; Chapter 3. Narrowband Signals; 3.1 The Analytic Signal; 3.2 Narrowband Signals; 3.3 Hilbert Transform; 3.4 Narrowband Filters; 3.5 Narrowband Processes; 3.6 Determination of the Complex Envelope; 3.7 Fourier Series Representation; Exercises; Chapter 4. Gaussian Derived Processes; 4.1 The Gaussian Probability Density; 4.2 The Central Limit Theorem; 4.3 Sum of a Sine Wave and a Gaussian Process; 4.4 Distribution of the Envelope of a Narrowband Process; 4.5 Envelope of a Narrowband Signal Plus Narrowband Noise. 4.6 Squared Envelope of a Narrowband Noise Process4.7 The Chi-Squared Density; 4.8 Squared Envelope of a Sine Wave Plus a Narrowband Process; 4.9 Noncentral Chi-Squared Density; 4.10 Student's t-Density; 4.11 Snedecor's F-Density; Exercises; Chapter 5. Hypothesis Testing; 5.1 Introduction; 5.2 A Simple Detection Problem; 5.3 The Neyman-Pearson Criterion; 5.4 Bayes' Criterion; 5.5 Minimum Error Probability Criterion; 5.6 Minimax Criterion; 5.7 Multiple Measurements; 5.8 Multiple Alternative Hypothesis Testing; 5.9 Composite Hypothesis Testing with Minimum Cost; 5.10 Sufficient Statistics. 5.11 Uniformly Most Powerful Tests5.12 Unknown a Priori Information and Nonoptimal Tests; Exercises; Chapter 6. Detection of Known Signals; 6.1 Two Completely Known Signals in Additive Gaussian Noise; 6.2 Application to Radar; 6.3 Application to Binary Communications; 6.4 The Likelihood Functions; 6.5 Matched Filters; 6.6 The General Discrete Matched Filter; 6.7 An m-ary Communication System; 6.8 The General Discrete Gaussian Problem; Exercises; Chapter 7. Detection of Signals with Random Parameters; 7.1 Processing Narrowband Signals; 7.2 Detection of Signals with Unknown Carrier Phase. 7.3 The Quadrature Receiver and Equivalent Forms7.4 Receiver Operating Characteristics; 7.5 Signals with Random Phase and Amplitude; 7.6 Noncoherent Frequency Shift Keying; 7.7 Signals with Random Frequency; 7.8 Signals with Random Time of Arrival; Exercises; Chapter 8. Multiple Pulse Detection of Signals; 8.1 Known Signals; 8.2 Signals with Unknown Phase; 8.3 Performance of the Quadratic Detector; 8.4 Gram-Charlier Series; 8.5 Performance of the Linear Detector; 8.6 The Case of Unknown Phase and Known Unequal Amplitudes; 8.7 Unknown Amplitude and Phase; 8.8 Diversity Reception; Appendix 1. … (more)
- Edition:
- 2nd ed
- Publisher Details:
- San Diego : Academic Press
- Publication Date:
- 1995
- Copyright Date:
- 1995
- Extent:
- 1 online resource (xiv, 495 pages :), illustrations
- Subjects:
- 621.382/24
Signal detection
Signal processing -- Statistical methods
Random noise theory
Signal processing -- Digital techniques
Random noise theory
Signal detection
Signal processing -- Digital techniques
Signal processing -- Statistical methods
COMPUTERS -- Information Theory
TECHNOLOGY & ENGINEERING -- Signals & Signal Processing
Random noise theory
Signal detection
Signal processing -- Digital techniques
Signal processing -- Statistical methods
Electronic books - Languages:
- English
- ISBNs:
- 9780080504087
0080504086 - Related ISBNs:
- 0127448527
9780127448527 - Notes:
- Note: Includes bibliographical references (pages 483-484) and index.
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- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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