Title :
Instantaneous spectral skew and kurtosis
Author :
Loughlin, Patrick J. ; Davidson, Keith L.
Author_Institution :
Dept. of Electr. Eng., Pittsburgh Univ., PA, USA
Abstract :
We extend the ideas of the instantaneous frequency and the instantaneous bandwidth of a signal by defining the instantaneous skew and kurtosis, as well as higher instantaneous moments, of a signal. Expressions are derived in terms of the signal amplitude and phase, analogous to the situation for instantaneous frequency and bandwidth. As is the case in time-frequency analysis with instantaneous frequency and bandwidth, the instantaneous moments we derive may be viewed as conditional moments of the time-varying spectral density of the signal
Keywords :
signal processing; spectral analysis; time-frequency analysis; higher instantaneous moments; instantaneous bandwidth; instantaneous frequency; instantaneous spectral kurtosis; instantaneous spectral skew; signal amplitude; signal phase; time-frequency analysis; time-varying spectral density; Acoustic applications; Acoustic measurements; Area measurement; Bandwidth; Frequency measurement; Radar; Seismology; Sonar; Taylor series; Time frequency analysis;
Conference_Titel :
Statistical Signal and Array Processing, 2000. Proceedings of the Tenth IEEE Workshop on
Conference_Location :
Pocono Manor, PA
Print_ISBN :
0-7803-5988-7
DOI :
10.1109/SSAP.2000.870190
