Random data : analysis and measurement procedures

✍ Scribed by Julius S Bendat; Allan G Piersol

• Publisher: Wiley
• Year: 2010
• Tongue: English
• Leaves: 621
• Series: Wiley series in probability and statistics
• Edition: 4th ed
• Category: Library

✦ Synopsis

''First published in 1971, Random Data served as an authoritative book on the analysis of experimental physical data for engineering and scientific applications. This Fourth Edition features coverage of new developments in random data management and analysis procedures that are applicable to a broad range of applied fields, from the aerospace and automotive industries to oceanographic and biomedical research.'' ''This new edition continues to maintain a balance of classic theory and novel techniques. The authors expand on the treatment of random data analysis theory, including derivations of key relationships in probability and random process theory. The book remains unique in its practical treatment of nonstationary data analysis and nonlinear system analysis, presenting the latest techniques on modern data acquisition, storage, conversion, and qualification of random data prior to its digital analysis.''--BOOK JACKET. Read more...

✦ Table of Contents

Content: Preface Preface to the Third Edition. Glossary of Symbols. 1 Basic Descriptions and Properties. 1.1 Deterministic Versus Random Data. 1.2 Classifications of Deterministic Data. 1.3 Classifications of Random Data. 1.4 Analysis of Random Data. 2 Linear Physical Systems. 2.1 Constant-Parameter Linear Systems. 2.2 Basic Dynamic Characteristics. 2.3 Frequency Response Functions. 2.4 Illustrations of Frequency Response Functions. 2.5 Practical Considerations. 3 Probability Fundamentals. 3.1 One Random Variable. 3.2 Two Random Variables. 3.3 Gaussian (Normal) Distribution. 3.4 Rayleigh Distribution. 3.5 Higher Order Changes of Variables. 4 Statistical Principles. 4.1 Sample Values and Parameter Estimation. 4.2 Important Probability Distribution Functions. 4.3 Sampling Distributions and Illustrations. 4.4 Confidence Intervals. 4.5 Hypothesis Tests. 4.6 Correlation and Regression Procedures. 5 Stationary Random Processes. 5.1 Basic Concepts. 5.2 Spectral Density Functions. 5.3 Ergodic and Gaussian Random Processes. 5.4 Derivative Random Processes. 5.5 Level Crossings and Peak Values. 6 Single-Input/Output Relationships. 6.1 Single-Input/Single-Output Models. 6.2 Single-Input/Multiple-Output Models. 7 Multiple-Input/Output Relationships. 7.1 Multiple-Input/Single-Output Models. 7.2 Two-Input/One-Output Models. 7.3 General and Conditioned Multiple-Input Models. 7.4 Modified Procedure to Solve Multiple-Input/Single-Output Models. 7.5 Matrix Formulas for Multiple-Input/Multiple-Output Models. 8 Statistical Errors in Basic Estimates. 8.1 Definition of Errors. 8.2 Mean and Mean Square Value Estimates. 8.3 Probability Density Function Estimates. 8.4 Correlation Function Estimates. 8.5 Autospectral Density Function Estimates. 8.6 Record Length Requirements. 9 Statistical Errors in Advanced Estimates. 9.1 Cross-Spectral Density Function Estimates. 9.2 Single-Input/Output Model Estimates. 9.3 Multiple-Input/Output Model Estimates. 10 Data Acquisition and Processing. 10.1 Data Acquisition. 10.2 Data Conversion. 10.3 Data Qualification. 10.4 Data Analysis Procedures. 11 Data Analysis. 11.1 Data Preparation. 11.2 Fourier Series and Fast Fourier Transforms. 11.3 Probability Density Functions. 11.4 Autocorrelation Functions. 11.5 Autospectral Density Functions. 11.6 Joint Record Functions. 11.7 Multiple-Input/Output Functions. 12 Nonstationary Data Analysis. 12.1 Classes of Nonstationary Data. 12.2 Probability Structure of Nonstationary Data. 12.3 Nonstationary Mean Values. 12.4 Nonstationary Mean Square Values. 12.5 Correlation Structure of Nonstationary Data. 12.6 Spectral Structure of Nonstationary Data. 12.7 Input/Output Relations for Nonstationary Data. 13 The Hilbert Transform. 13.1 Hilbert Transforms for General Records. 13.2 Hilbert Transforms for Correlation Functions. 13.3 Envelope Detection Followed by Correlation. 14 Nonlinear System Analysis. 14.1 Zero-Memory and Finite-Memory Nonlinear Systems. 14.2 Square-Law and Cubic Nonlinear Models. 14.3 Volterra Nonlinear Models. 14.4 SI/SO Models with Parallel Linear and Nonlinear Systems. 14.5 SI/SO Models with Nonlinear Feedback. 14.6 Recommended Nonlinear Models and Techniques. 14.7 Duffing SDOF Nonlinear System. 14.8 Nonlinear Drift Force Model. Bibliography. Appendix A: Statistical Tables. Appendix B: Definitions for Random Data Analysis. List of Figures. List of Tables. List of Examples. Answers to Problems in Random Data. Index.
Abstract:

Random Data provides first-rate, practical tools for dynamic data and statistical methods for engineering problems. This revised bestseller presents the latest developed procedures and a complete rewrite of the Fast Fourier Transforms of applied fields. Plus, this resource includes a new chapter on frequency domain techniques. Read more...