Estimating and interpreting the instantaneous frequency of a signal. I - Fundamentals. II - Algorithms and applications

@article{Boashash1992EstimatingAI,
  title={Estimating and interpreting the instantaneous frequency of a signal. I - Fundamentals. II - Algorithms and applications},
  author={B. Boashash},
  journal={Proceedings of the IEEE},
  year={1992}
}
  • B. Boashash
  • Published 1992
  • Mathematics, Computer Science
  • Proceedings of the IEEE
For pt.I see ibid., vol.80, no.4, p.520-38 (1992). The concept of instantaneous frequency (IF) is extended to discrete-time signals. The specific problem explored is that of estimating the IF of frequency-modulated (FM) discrete-time signals embedded in Gaussian noise. Well-established methods for estimating the IF include differentiation of the phase and smoothing thereof, adaptive frequency estimation techniques such as the phase locked loop (PLL), and extraction of the peak from time-varying… Expand
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  • Mathematics, Computer Science
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  • 2003
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This work discusses the problem of instantaneous frequency (IF) estimation of phase signals using their level-crossing (LC) instant information and proposes a 'line plus sum of sines' model for this task. Expand
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In many practical applications, signals to be detected are unknown nonlinear frequency modulated (FM) and are cor- rupted by strong noise. The phase histories of signals are assumed to be unknownExpand
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References

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TLDR
The concept of instantaneous frequency, its definitions, and the correspondence between the various mathematical models formulated for representation of IF are discussed and it is shown that these notions are well described in the context of the theory presented. Expand
Algorithms for instantaneous frequency estimation: a comparative study
This paper examines the problem of instantaneous frequency (IF) estimation for Frequency Modulated (FM) signals imbedded in white Gaussian noise. It reviews currently available techniques and inExpand
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The instantaneous-frequency distribution (IFD) is an amplitude-invariant spectral representation applicable to signals such as speech. The performance of an IFD with time-averaging andExpand
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An automatic time-varying filter design technique is presented, based on windowing in the time-frequency plane about the IF of the signal under analysis, followed by signal synthesis using theExpand
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TLDR
A number of techniques for estimating the instantaneous frequency of a complex time series which may exhibit significant amplitude variation are compared and a number of examples demonstrating the properly scaled direct differentiation of the ATAN function are presented. Expand
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This review is concerned with applying the analytic signal in oscillation theory, where the concept of the analytic signal was hardly ever applied until recently. We treat the mathematical propertiesExpand
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