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| 作者简介: J. Carlos Santamarina, Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0355, USA Dante Fratta, 3418H CEBA, Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA 70803, USA |
| Preface Brief Comments on Notation 1 Introduetion 1.1 Signals, Systems, and Problems 1.2 Signals and Signal Processing - Application Examples 1.3 Inverse Problems - Application Examples 1.4 History - Discrete Mathematical Representation 1.5 Summary Solved Problems Additional Problems 2 Mathematical Concepts 2.1 Complex Numbers and Exponential Functions 2.2 Matrix Algebra 2.3 Derivatives - Constrained Optimization 2.4 Summary Further Reading Solved Problems Additional Problems 3 Signals and Systems 3.1 Signals: Types and Characteristics 3.2 Implications of Digitization - Aliasing 3.3 Elemental Signals and Other Important Signals 3.4 Signal Analysis with Elemental Signals 3.5 Systems: Characteristics and Properties 3.6 Combination of Systems 3.7 Summary Further Reading Solved Problems Additional Problems 4 Time Domain Analyses of Signals and Systems 4.1 Signals and Noise 4.2 Cross- and Autocorrelation: Identifying Similarities 4.3 The Impulse Response - System Identification 4.4 Convolution: Computing the Output Signal 4.5 Time Domain Operations in Matrix Form 4.6 Summary Further Reading Solved Problems Additional Problems 5 Frequency Domain Analysis of Signals (Discrete Fourier Transform) 5.1 Orthogonal Functions - Fourier Series 5.2 Discrete Fourier Analysis and Synthesis 5.3 Characteristics of the Discrete Fourier Transform 5.4 Computation in Matrix Form 5.5 Truncation, Leakage, and Windows 5.6 Padding 5.7 Plots 5.8 The Two-Dimensional Discrete Fourier Transform 5.9 Procedure for Signal Recording 5.10 Summary Further Reading and References Solved Problems Additional Problems 6 Frequency Domain Analysis of Systems 6.1 Sinusoids and Systems - Eigenfunctions 6.2 Frequency Response 6.3 Convolution 6.4 Cross-Spectral and Autospectral Densities 6.5 Filters in the Frequency Domain - Noise Control 6.6 Determining H with Noiseless Signals (Phase Urea'rapping) 6.7 Determining H_ with Noisy Signals (Coherence) 6.8 Summary Further Reading and References Solved Problems Additional Problems 7 Time Variation and Nonlinearily 8 Concepts in Discrete Inverse Problems 9 Solution by Matrix Inversion 10 Other Inversion Methods 11 Strategy for Inverse Problem Solving Index |
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