Synopses & Reviews
Discusses engineering applications and recent developments based upon correlation and spectral analysis. Illustrations deal with applications to acoustics, mechanical vibrations, system identification, and fluid dynamics problems in aerospace, automotive, industrial noise control, civil engineering and oceanographic fields, as well as similar problems in other fields. Tackles problems and solutions, assuming reader has required hardware and software to compute estimates of correlation, spectra, coherence, and phase functions.
Synopsis
Expanded to cover more advanced applications where statistical properties of data can be nonstationary and the physical systems nonlinear as opposed to only linear. Stresses the practical use and interpretation of analyzed data to solve problems. Special attention is given to bias and random errors involved in desired estimates and the proper interpretation of results from specific applications. Includes numerous case studies concerned with dynamic problems which can occur in a variety of fields.
Table of Contents
INTRODUCTION AND BACKGROUND.
Characteristics of Random Data.
Fourier Series and Transforms.
Physical System Response Properties.
PROBABILITY FUNCTIONS AND AMPLITUDE MEASURES.
Probability Functions.
Moments and Average Amplitude Measures.
Special Probability Density Functions.
Statistical Sampling Errors.
CORRELATION AND SPECTRAL DENSITY FUNCTIONS.
Correlation Functions.
Spectral Density Functions.
General Interpretations.
Estimation Procedures and Errors.
SINGLE INPUT/SINGLE OUTPUT RELATIONSHIPS.
Ideal System Relationships.
Effects of Measurement Noise, Feedback Systems.
SYSTEM IDENTIFICATION AND RESPONSE.
Frequency Response Function Calculations.
Frequency Response Function Estimation Errors.
System Response Predictions.
PROPAGATION PATH IDENTIFICATION.
Nondispersive Propagation, Input/Output Data.
Nondispersive Propagation.
Output Data Only.
Dispersive Propagation.
Estimations of Path Characteristics.
SINGLE INPUT/MULTIPLE OUTPUT PROBLEMS.
Correlation and Spectra Relationships.
Relative Time Delays and Propagation Direction.
Single Source Location Problems.
System Identification From Output Measurements.
MULTIPLE INPUT/OUTPUT RELATIONSHIPS.
Multiple Input/Output Systems.
Multiple Coherence Functions.
Conditioned Spectral Analysis.
Partial Coherence Functions.
ENERGY SOURCE IDENTIFICATION.
Problem Formulation.
Single Channel Measurement Problems.
Input Measurement Interference.
Physically Correlated Sources.
PROCEDURES FOR SOLVING MULTIPLE INPUT/OUTPUT PROBLEMS.
Formulation of Models.
Optimum System Relationships.
Computation Algorithms.
Simulation of Spectral Density Matrices.
STATISTICAL ERRORS IN MEASUREMENT.
Spectral Density Functions.
Single Input/Output Problems.
Frequency Response Functions.
Multiple Input/Output Problems.
References.
Index.
Glossary of Symbols.