Positive Time-Frequency Distributions: Development and Applications

摘要

Results of our research into the development and application of the positive(Cohen-Posch) time-frequency distributions (TFDs) are presented. These include (1) the development of a new computationally efficient weighted least squares method of implementation; (2) the development of a method to design informative priors for constructing Cohen-Posch TFDs; (3) studies of the relationship between instantaneous frequency and the conditional mean frequency of the positive TFDs, and the definition of the average frequency at each time; (4) a TFD based method of classification for nonstationary processes; (5) a new multi-window time-varying spectral analysis method; and (6) applications of the Cohen-Posch TFDs and conditional moments to machine vibration analysis and transient characterization. Copies of relevant publications are attached to the report.