THE DIRECTIONAL WIGNER DISTRIBUTION AND ITS APPLICATIONS
β Scribed by C.W. Lee; Y.-S. Han
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 312 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
A new signal processing technique, the directional Wigner distribution (dWD), is presented to characterize the instantaneous planar motion of a measurement point in a structure from its transient complex-valued vibration signal. It is proven that the auto-dWD essentially tracks the shape and directivity of the instantaneous planar motion, whereas the phase of the cross-dWD indicates its inclination angle. Finally, the technique is successfully applied to two practical cases: a rotor during run-up and an automobile engine during crank-on/idling/engine-off.
π SIMILAR VOLUMES
An exact asymptotic formula for the tail probability of a multivariate normal distribution is derived. This formula is applied to establish two asymptotic results for the maximum deviation from the mean: the weak convergence to the Gumbel distribution of a normalized maximum deviation and the precis