An Introduction to Random Vibrations, Spectral and Wavelet AnalysisThis book is a substantially expanded edition of An Introduction to Random Vibrations and Spectral Analysis which now covers wavelet analysis. Basic theory is thoroughly described and illustrated, with a detailed explanation of how discrete wavelet transforms work. Computer algorithms are expalined and supported by examples and set of problems. An appendix lists 10 computer programs for calculating and displaying wavelet transforms. |
Contents
Introduction to probability distributions and averages | 1 |
Joint probability distributions ensemble averages | 12 |
Correlation | 21 |
Copyright | |
22 other sections not shown
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An Introduction to Random Vibrations, Spectral and Wavelet Analysis: Third ... D. E. Newland No preview available - 2013 |
Common terms and phrases
a₁ algorithm aliased amplitude analysis approximately array assume autocorrelation function bandwidth binary signal calculated Chapter circular correlation complex Consider constant correlation coefficients correlation function corresponding cross-spectral density defined delta function discrete Fourier transform discrete wavelet transform E[y² ensemble average equation example filter Fourier series frequency response function Gaussian given gives harmonic wavelet Hence input integral inverse length linear system mean square N₁ N₁N₂ N₂ noise obtained one-dimensional orthogonal output phase angles Prob probability density function probability distribution problem rad/s random binary random process x(t random variable random vibration Rayleigh distribution result S₁ sample functions scaling function sequence shown in Fig spectral coefficients spectral density spectral window spectrum stationary process stationary random process substituting summation surface t₁ w₁ w₂ wavelet coefficients wavelet transform wavenumber X₁ x₁(t X₂ Y₁ zero Δω Σ Σ