Comments on the interpretation of instantaneous frequency
Authors:
- B. TacerBTB. Tacer
- 1 May 1997
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Signal Processing Letters
- Vol. 4 (5) , 123-125
Abstract
Instantaneous frequency, taken as the derivative of the phase of the signal, is interpreted in the time-frequency literature as the average frequency of the signal at each time. We point out some difficulties with this interpretation, and show that for a generic two-component AM-FM signal, the interpretation holds only when the components are of equal strength. We conclude that instantaneous frequency and the average frequency at each time are generally two different quantities. One possible interpretation of the difference between these two quantities is suggested.Keywords
This publication has 8 references indexed in Scilit:
- On the amplitude- and frequency-modulation decomposition of signalsThe Journal of the Acoustical Society of America, 1996
- The discrete-time phase derivative as a definition of discrete instantaneous frequency and its relation to discrete time-frequency distributionsIEEE Transactions on Signal Processing, 1995
- Estimating and interpreting the instantaneous frequency of a signal. I. FundamentalsProceedings of the IEEE, 1992
- Time-frequency distributions-a reviewProceedings of the IEEE, 1989
- Instantaneous Frequency, Its Standard Deviation And Multicomponent Signals1988
- Positive time-frequency distribution functionsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1985
- Amplitude, phase, frequency—fundamental concepts of oscillation theorySoviet Physics Uspekhi, 1977
- Interpretation of Instantaneous FrequenciesAmerican Journal of Physics, 1974