Introduction to Random Vibrations Spectral & Wavelet Analysis

One of the first engineering books to cover wavelet analysis this classic text describes and illustrates basic theory with a detailed explanation of the workings of discrete wavelet transforms. Computer algorithms are explained and supported by examples and a set of problems and an appendix lists ten computer programs for calculating and displaying wavelet transforms.<br>Starting with an introduction to probability distributions and averages the text examines joint probability distributions ensemble averages and correlation; Fourier analysis; spectral density and excitation response relations for linear systems; transmission of random vibration; statistics of narrow band processes; and accuracy of measurements. Discussions of digital spectral analysis cover discrete Fourier transforms as well as windows and smoothing. Additional topics include the fast Fourier transform; pseudo-random processes; multidimensional spectral analysis; response of continuous linear systems to stationary random excitation; and discrete wavelet analysis.<br>Numerous diagrams and graphs clarify the text and complicated mathematics are simplified whenever possible. This volume is suitable for upper-level undergraduates and graduate students in engineering and the applied sciences; it is also an important resource for professionals.