Estimating parameters in noisy low frequency exponentially damped sinusoids and exponentials

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionResearchpeer-review

    Abstract

    There has been much recent interest in damped sinusoidal models, probably as a result of their relevance to magnetic resonance imaging. In [1], a model which allowed the sinusoid to decay to 0 was examined, and a Fourier coefficient estimation procedure was proposed. [2] noted that in order for any asymptotic theory to be available, the decay should not be allowed to complete, and examined the asymptotic behavior of a Fourier coefficient procedure based on this assumption, for which the asymptotic behavior ofnonlinear least squares estimators had already been derived in [3]. In this paper, we consider the problem of estimating the frequency and damping factor when the frequency is so low that only a finite number of periods appear in the data. Additionally, we consider a Fourier technique for estimating the damping factor in a noisy real exponential.

    LanguageEnglish
    Title of host publication2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings
    Place of PublicationPiscataway, NJ
    PublisherInstitute of Electrical and Electronics Engineers (IEEE)
    Pages4298-4302
    Number of pages5
    Volume2016-May
    ISBN (Electronic)9781479999880
    DOIs
    Publication statusPublished - 18 May 2016
    Event41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Shanghai, China
    Duration: 20 Mar 201625 Mar 2016

    Other

    Other41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016
    CountryChina
    CityShanghai
    Period20/03/1625/03/16

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    Damping
    Magnetic resonance
    Imaging techniques

    Cite this

    Quinn, B. G. (2016). Estimating parameters in noisy low frequency exponentially damped sinusoids and exponentials. In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings (Vol. 2016-May, pp. 4298-4302). [7472488] Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICASSP.2016.7472488
    Quinn, Barry G. / Estimating parameters in noisy low frequency exponentially damped sinusoids and exponentials. 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. Vol. 2016-May Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2016. pp. 4298-4302
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    Quinn, BG 2016, Estimating parameters in noisy low frequency exponentially damped sinusoids and exponentials. in 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. vol. 2016-May, 7472488, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 4298-4302, 41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016, Shanghai, China, 20/03/16. https://doi.org/10.1109/ICASSP.2016.7472488

    Estimating parameters in noisy low frequency exponentially damped sinusoids and exponentials. / Quinn, Barry G.

    2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. Vol. 2016-May Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2016. p. 4298-4302 7472488.

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionResearchpeer-review

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    Quinn BG. Estimating parameters in noisy low frequency exponentially damped sinusoids and exponentials. In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. Vol. 2016-May. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2016. p. 4298-4302. 7472488 https://doi.org/10.1109/ICASSP.2016.7472488