Journal article
Decomposition of higher-order spectra for blind multiple-input deconvolution, pattern identification and separation
Signal processing, Vol.165, pp.357-379
12/2019
DOI: 10.1016/j.sigpro.2019.07.007
Abstract
•A new technique for identifying recurring waveforms in a time series is proposed.•The technique requires no prior knowledge about the waveforms or their timing.•The technique is related to blind deconvolution through moment maximization.•We demonstrate it with applications to heartbeat detection in ECG.
Like 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.
Details
- Title: Subtitle
- Decomposition of higher-order spectra for blind multiple-input deconvolution, pattern identification and separation
- Creators
- Christopher K KovachMatthew A Howard III
- Resource Type
- Journal article
- Publication Details
- Signal processing, Vol.165, pp.357-379
- DOI
- 10.1016/j.sigpro.2019.07.007
- ISSN
- 0165-1684
- eISSN
- 1872-7557
- Publisher
- Elsevier B.V
- Grant note
- DOI: 10.13039/100000002, name: National Institutes of Health, award: 5R01DC004290-18
- Language
- English
- Date published
- 12/2019
- Academic Unit
- Neurology; Iowa Neuroscience Institute; Neurosurgery; Otolaryngology
- Record Identifier
- 9984070975802771
Metrics
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