A SVD-based transient error method for analyzing noisy multicomponent exponential signals

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dc.contributor.authorSalami, Momoh-Jimoh E.
dc.contributor.authorNichols, S.
dc.contributor.authorSmith, M.
dc.date.accessioned2019-10-31T14:51:20Z
dc.date.available2019-10-31T14:51:20Z
dc.date.issued1987-04-06
dc.description.abstractThe problem of estimating the parameters of noisy multicomponent signals using parametric modeling technique is considered in this paper. The multicomponent signal of interest is formed by a superposition of basic functions having the same location in time but different widths and amplitudes. Based on the modified Gardner transformation, some samples of deconvolved data are derived from the multicomponent signals. The deconvolved data are then modeled using a special nonstationary autoregressive moving average (ARMA) process in which the parameters of the ARMA model are obtained by linear least-squares procedure. The least-squares procedure is based on the singular value decomposition (SVD) to overcome the limitations of the transient error method (TEM) of analysis that uses cholesky decomposition to determine its AR coefficients. The moving average (MA) coefficients corresponds to the initial residual error sequences so as to account for the nonstationary noise in the deconvolved data. This new method of analysis, termed the SVD-based transient error method, produces high resolution estimates of the exponents of multicomponent signals at both low and high signal to noise (SNR) ratios.en_US
dc.identifier.citationSalami, M., Nichols, S., & Smith, M. (1987, April). A SVD-based transient error method for analyzing noisy multicomponent exponential signals. In ICASSP'87. IEEE International Conference on Acoustics, Speech, and Signal Processing (Vol. 12, pp. 677-680). IEEE.en_US
dc.identifier.uri10.1109/ICASSP.1987.1169545
dc.identifier.urihttp://repository.elizadeuniversity.edu.ng/handle/20.500.12398/615
dc.language.isoenen_US
dc.publisherIEEEen_US
dc.subjectTransient analysisen_US
dc.subjectError analysisen_US
dc.subjectSignal analysisen_US
dc.subjectParameter estimationen_US
dc.subjectSignal resolutionen_US
dc.subjectAutoregressive processesen_US
dc.subjectSignal to noise ratioen_US
dc.subjectMagnetic analysisen_US
dc.subjectShapeen_US
dc.subjectFrequencyen_US
dc.titleA SVD-based transient error method for analyzing noisy multicomponent exponential signalsen_US
dc.typeArticleen_US
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