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Instantaneous frequency of multicomponent signals

IEEE Signal Processing Letters, 1999
The failure of the traditional definition of instantaneous frequency (IF/sub t/) in the multicomponent case has been often reported. We determine the reasons for the failure of this definition. This enables us to understand and integrate all previously reported cases in a simple unified theory.
Paulo M. Oliveira, Victor A. N. Barroso
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Comments on the interpretation of instantaneous frequency

IEEE Signal Processing Letters, 1997
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 ...
Patrick J. Loughlin, Berkant Tacer
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CIRCULAR INSTANTANEOUS FREQUENCY

Advances in Adaptive Data Analysis, 2010
This work defines the unique instantaneous frequency (IF) of an arbitrary time signal to be the circular instantaneous frequency (cIF) of the curvature radius of the signal's trajectory on the phase plane, where the signal's conjugate part is obtained from Hilbert transform (HT).
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Algorithms for estimating instantaneous frequency

Signal Processing, 2004
Three algorithms to estimate instantaneous frequency of a frequency-modulated signal is discussed. These algorithms are based on Hilbert transform, Haar wavelet, and generalized pencil of function (GPOF) methods. While GPOF-based frequency detection method appears to be least sensitive to noise, wavelet-based method is easiest to implement.
Jaideva C. Goswami, Albert E. Hoefel
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Standard deviation of instantaneous frequency

International Conference on Acoustics, Speech, and Signal Processing, 2003
Explicit expressions are derived for the standard deviation of instantaneous frequency (local bandwidth) at a particular time using the short-time Fourier transform and the general class of bilinear distributions. Examples are given. Application to the characterization and description of a multicomponent signal is discussed.
Leon Cohen, Chongmoon Lee
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Instantaneous frequency and its instantaneous deviation

Journal of Modern Optics, 2004
Using statistical language, the instantaneous frequency of a deterministic signal, such as an electromagnetic pulse collected at a point in space, is a location function and its deviation is a shape function. The former is better defined than the latter, which can be computed an infinity of different ways, some of which can exhibit pathologies.
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Instantaneous frequency, instantaneous bandwidth and the analysis of multicomponent signals

International Conference on Acoustics, Speech, and Signal Processing, 2002
The definitions of instantaneous frequency are reviewed in the context of signal theory, communication theory and discrete time implementations. The spread of a signal about its instantaneous frequency, or instantaneous bandwidth, is investigated for several common time-frequency distributions by simulations.
Graeme Jones, Boualem Boashash
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The calculation of instantaneous frequency and instantaneous bandwidth

Geophysics, 1992
Abstract A number of ways have been offered to calculate instantaneous frequency, an important complex seismic trace attribute. The standard calculation follows directly from its definition and requires two differentiations (Taner et al., 1979).
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Mutual relation between instantaneous frequency and instantaneous bandwidth

Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467), 2002
The concepts of instantaneous frequency (IF/sub t/) and instantaneous bandwidth (IB/sub t/) have traditionally been considered as independent spectral features. Previous work has suggested, however, that the spectral dynamics of the signal (and, hence, its IF/sub t/) may have an impact on IB/sub t/ and on the achievable spectral resolution. We consider
Paulo M. Oliveira, Victor Barroso
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Instantaneous frequency and the conditional mean frequency of a signal

Signal Processing, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrick J. Loughlin, Berkant Tacer
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