Previous edition published under title: An introduction to random vibrations and spectral analysis. Companion to: Mechanical vibration analysis and computation. Includes bibliographical references (pages 465-471) and index.

1. Introduction to probability distributions and averages -- 2. Joint probability distributions, ensemble averages -- 3. Correlation -- 4. Fourier analysis -- 5. Spectral density -- 6. Excitation -- response relations for linear systems -- 7. Transmission of random vibration -- 8. Statistics of narrow band processes -- 9. Accuracy of measurements -- 10. Digital spectral analysis I: Discrete Fourier transforms -- 11. Digital spectral analysis II: Windows and smoothing -- 12. The fast Fourier transform -- 13. Pseudo random processes -- 14. Application notes -- 15. Multi-dimensional spectral analysis -- 16. Response of continuous linear systems to stationary random excitation -- 17. Discrete wavelet analysis -- Appendix 1 Table of integrals -- Appendix 2 Computer programs -- Appendix 3 The Gaussian probability integral -- Appendix 4 Distribution of [actual symbol not reproducible] -- Appendix 5 Random numbers -- Appendix 6 Distribution of reverse arrangements for a random series -- Appendix 7 Wavelet programs. This third edition includes all the material covered in the second edition together with sections on discrete wavelet analysis and wavelet analysis computer programs.