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

Boashash, Boualem

doi:10.1109/5.135378

Cited by 765 publications

(350 citation statements)

References 34 publications

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“…Also, IF estimation using the properties of TFDs including adaptive short-time Fourier transform [31], QTFDs [32], T-class of TFDs [33], polynomial WVDs (PWVDs) [34,35] and complex-time distributions (CTDs) [36,37] have received a lot of attention. A detailed review on IF estimation algorithms can be found in [25][26][27]. Brief details are given below.…”

Section: Instantaneous Frequency: Definition and Estimationmentioning

confidence: 99%

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A time–frequency based approach for generalized phase synchrony assessment in nonstationary multivariate signals

Omidvarnia

Azemi

Colditz

et al. 2013

Digital Signal Processing

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This paper proposes a new approach to estimate the phase synchrony among nonstationary multivariate signals using the linear relationships between their instantaneous frequency (IF) laws. For cases where nonstationary signals are multi-component, a decomposition method like multi-channel empirical mode decomposition (MEMD) is used to simultaneously decompose the multi-channel signals into their intrinsic mode functions (IMFs). We then apply the Johansen method on the IF laws to assess the phase synchrony within multivariate nonstationary signals. The proposed approach is validated first using multichannel synthetic signals. The method is then used for quantifying the inter-hemispheric EEG asynchrony during ictal and inter-ictal periods using a newborn EEG seizure/non-seizure database of five subjects. For this application, pair-wise phase synchrony measures may not be able to account for phase interactions between multiple channels. Furthermore, the classical definition of phase synchrony, which is based on the rational relationships between phases, may not reveal the hidden phase interdependencies caused by irrational long-run relationships. We evaluate the performance of the proposed method using the differentiation of unwrapped phase as well as other IF estimation techniques. The results obtained on newborn EEG signals confirm that the generalized phase synchrony within EEG channels increases significantly during ictal periods. A statistically consistent phase coupling is also observed within the non-seizure segments supporting the concept of constant inter-hemispheric connectivity in the newborn brain during inter-ictal periods.

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Section: Instantaneous Frequency: Definition and Estimationmentioning

confidence: 99%

“…Several methods have been suggested to estimate the IF of monocomponent and/or multicomponent nonstationary signals [25][26][27][28][29]. In [30], a new form of the Fourier transform and the local polynomial periodogram are developed for local polynomial approximation of the time-varying phase.…”

Section: Instantaneous Frequency: Definition and Estimationmentioning

confidence: 99%

A time–frequency based approach for generalized phase synchrony assessment in nonstationary multivariate signals

Omidvarnia

Azemi

Colditz

et al. 2013

Digital Signal Processing

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“…The polar representation of 1-D and 2-D signals is widely used in science and technology [25][26][27]. For a given real signal, there are many ways of defining a corresponding complex signal.…”

Section: Polar Representation Of 3-d Analytic Signalsmentioning

confidence: 99%

The unified theory of n-dimensional complex and hypercomplex analytic signals

Hahn¹,

Snopek²

2011

Bulletin of the Polish Academy of Sciences: Technical Sciences

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“…There are numerous works done on the instantaneous frequency (IF) estimation [6]- [8] as IF is an important parameter in many applications such as radar, sonar, communication and biomedicine. The authors in [8], proposed a method to estimate the IF of a linear FM signals from the peaks of the time-frequency distribution (TFD).…”

Section: Introductionmentioning

confidence: 99%

“…The authors in [8], proposed a method to estimate the IF of a linear FM signals from the peaks of the time-frequency distribution (TFD). Works on bilinear TFD [9] can give information on the IF of a signal and it works well at very low SNR-as low as 2dB -at the loss of phase information.…”

Section: Introductionmentioning

confidence: 99%