Title :
Proper time-frequency energy distributions and the Heisenberg uncertainty principle
Author :
Loughlin, Patrick J. ; Pitton, James W. ; Atlas, Les E.
Author_Institution :
Dept. of Electr. Eng., Washington Univ., Seattle, WA, USA
Abstract :
The Heisenberg uncertainty principle is used for understanding time-frequency distributions (TFDs) or density functions. The relationship between the uncertainty principle and proper TFDs is explored. Specifically, the authors address negative values in a TFD, the interpretation of TFDs as energy density functions, and local time-frequency resolution. This is done in light of having previously devised a method for constructing proper distributions
Keywords :
indeterminancy; signal processing; time-frequency analysis; Heisenberg uncertainty principle; TFD; density functions; energy density functions; local time-frequency resolution; time-frequency energy distributions; Density functional theory; Density measurement; Energy measurement; Frequency measurement; Kernel; Signal generators; Spectrogram; Time frequency analysis; Time measurement; Uncertainty;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274214
