To achieve effective signal signature extraction, Chap. 10 introduced several quantitative measures for selecting appropriate base wavelets from a pool of available wavelet families, such as Daubechies, Myer, and Morlet wavelets. This chapter introduces a complimentary technique focusing on wavelet customization. The goal is to design a wavelet that is specifically adapted to the signal of interest. Because such a customized wavelet would have a higher degree of matching with the signal than other wavelets, the effectiveness of signature extraction will improve.
KeywordsImpulse Response Wavelet Coefficient Scaling Function Base Wavelet Filter Coefficient
- Burrus CS, Gopinath R, Guo H (1998) Introduction to wavelets and wavelet transforms: a primer. Prentice Hall, Englewood Cliffs, NJGoogle Scholar
- Cui CK, Montefusco L, Puccio L (1994) Wavelet: theory, algorithms, and applications. Academic, New YorkGoogle Scholar
- Harris T (1991) Rolling bearing analysis. Wiley, New YorkGoogle Scholar
- Inman D (1996) Engineering vibration. Prentice Hall, Englewood Cliffs, NJ.Google Scholar
- Lutes L, Sarkani S (1997) Stochastic analysis of structural and mechanical vibrations. Prentice Hall, Englewood Cliffs, NJGoogle Scholar
- Misiti M, Misiti Y, Oppenheim G, Poggi J (1997) Wavelet toolbox for use with Matlab. The Math Works, Inc., Natick, MAGoogle Scholar