Nonparametric estimation of instantaneous frequency
- 1 January 1997
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 43 (1) , 183-189
- https://doi.org/10.1109/18.567676
Abstract
The local polynomial approximation of time-varying phase is used in order to estimate the instantaneous frequency and its derivatives for a complex-valued harmonic signal given by discrete-time observations with a noise. The considered estimators are high-order nonparametric generalizations of the short-time Fourier transform and the Wigner-Ville distribution. The asymptotic variance and bias of the estimates are obtained. © 1997 IEEEKeywords
This publication has 11 references indexed in Scilit:
- Local polynomial periodograms for signals with the time-varying frequency and amplitudePublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Adaptive local polynomial periodogram for time-varying frequency estimationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Local polynomial approximation of the instantaneous frequency: Asymptotic accuracySignal Processing, 1996
- A new form of the Fourier transform for time-varying frequency estimationSignal Processing, 1995
- Nonparametric local polynomial approximation of the time-varying frequency and amplitudeCommunications in Statistics - Theory and Methods, 1995
- Linear and quadratic time-frequency signal representationsIEEE Signal Processing Magazine, 1992
- The Cramer-Rao lower bound for signals with constant amplitude and polynomial phaseIEEE Transactions on Signal Processing, 1991
- Estimation and classification of polynomial-phase signalsIEEE Transactions on Information Theory, 1991
- Estimation of instantaneous frequency using the discrete Wigner distributionElectronics Letters, 1990
- Time-frequency distributions-a reviewProceedings of the IEEE, 1989