Time delay estimation for deterministic transients using second- and higher-order correlations.

Pflug, Lisa A.; Ioup, George E.; Ioup, Juliette W.; Field, Robert L.; Leclere, James H.

doi:10.1121/1.402120

Cited by 5 publications

(2 citation statements)

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“…which amounts to a transformation of the axes in (58) . The magnitude of this form is constrained to fall between 0 and 1, as expected for…”

Section: Wide Sense Stationary Noisementioning

confidence: 99%

“…Multiple authors have considered the explicit application of HOS to signal identification, detection and delay estimation. Previous techniques have, however, dealt almost exclusively with deterministic HOS, [1,3,6,32,40,42,48,[53][54][55]60,64] , as has previous work applying HOS [30,50] and higher-order cross-correlations [56][57][58] to delay estimation. The deterministic assumption simplifies signal identification with HOS; for example, it allows the waveform to be recovered by log transforming the estimate and applying cepstral and related techniques towards the recovery of phase and magnitude spectra.…”

Section: Relationship To Previous Workmentioning

confidence: 99%

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Decomposition of higher-order spectra for blind multiple-input deconvolution, pattern identification and separation

Kovach

Howard

2019

Signal Processing

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a b s t r a c tLike the ordinary power spectrum, higher-order spectra (HOS) describe signal properties that are invariant under translations in time. Unlike the power spectrum, HOS retain phase information from which details of the signal waveform can be recovered. Here we consider the problem of identifying multiple unknown transient waveforms which recur within an ensemble of records at mutually random delays. We develop a new technique for recovering filters from HOS whose performance in waveform detection approaches that of an optimal matched filter, requiring no prior information about the waveforms. Unlike previous techniques of signal identification through HOS, the method applies equally well to signals with deterministic and non-deterministic HOS. In the non-deterministic case, it yields an additive decomposition, introducing a new approach to the separation of component processes within non-Gaussian signals having non-deterministic higher moments. We show a close relationship to minimum-entropy blind deconvolution (MED), which the present technique improves upon by avoiding the need for numerical optimization, while requiring only numerically stable operations of time shift, element-wise multiplication and averaging, making it particularly suited for real-time applications. The application of HOS decomposition to real-world signals is demonstrated with blind denoising, detection and classification of normal and abnormal heartbeats in electrocardiograms.

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“…which amounts to a transformation of the axes in (58) . The magnitude of this form is constrained to fall between 0 and 1, as expected for…”

Section: Wide Sense Stationary Noisementioning

confidence: 99%