A recently proposed method of multiple frequency estimation for mixed-spectrum time series is analyzed. The so-called PF method is a procedure that combines the autoregressive (AR) representation of superimposed sinusoids with the idea of parametric filtering. The gist of the method is to parametriz
Time-frequency analysis as asymptotic method
β Scribed by David Vakman
- Book ID
- 104115964
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 215 KB
- Volume
- 340
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
The paper states direct analogy between time-frequency analysis and geometric optics. Fourier spectrum becomes time-varying asymptotically, like light waves become rays. This clarifies condition of applicability of time-frequency methods. The most physically justified time-frequency representation is spectrogram with the signal-dependent window.
π SIMILAR VOLUMES
We consider a time-dependent, energy-dependent, nonlinear radiative transfer problem in which opacities are large [O(Ξ΅ -1 )] and interior sources are small [O(Ξ΅)]. An asymptotic analysis of this problem as Ξ΅ β 0 leads to the equilibrium diffusion equation in the interior of the system, along with bo
This paper deals with the time-frequency analysis of deterministic and stochastic non-stationary signals. It includes the following: a brief review of the fundamentals of time-frequency analysis and various time-frequency distributions; a summary of the inter-relations between time-frequency distrib
## Communicated by D. S. Jones We apply our recently developed distributional technique [2,3] to study time-domain asymptotics. This enables us to present a rigorous mathematical discussion and extensions of the results given by Chapman [1] and subsequent workers in this field. The present analysi