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Obtaining Spectrum Matching Time Series Using a Reweighted Volterra Series Algorithm (RVSA)

Bhattacharya, S and Alexander, N (2014) Obtaining Spectrum Matching Time Series Using a Reweighted Volterra Series Algorithm (RVSA) Bulletin of the Seismological Society of America, 104 (4). pp. 1663-1673.

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Abstract

In this paper, we introduce a novel algorithm for morphing any accelerogram into a spectrum matching one. First, the seed time series is re-expressed as a discrete Volterra series. The first-order Volterra kernel is estimated by a multilevel wavelet decomposition using the stationary wavelet transform. Second, the higher-order Volterra kernels are estimated using a complete multinomial mixing of the first-order kernel functions. Finally, the weighting of every term in this Volterra series is optimally adapted using a Levenberg–Marquardt algorithm such that the modified time series matches any target response spectrum. Comparisons are made using the SeismoMatch algorithm, and this reweighted Volterra series algorithm is demonstrated to be considerably more robust,matching the target spectrum more faithfully. This is achieved while qualitatively maintaining the original signal’s non-stationary statistics, such as general envelope, time location of large pulses, and variation of frequency content with time.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Civil and Environmental Engineering
Authors :
AuthorsEmailORCID
Bhattacharya, SUNSPECIFIEDUNSPECIFIED
Alexander, NUNSPECIFIEDUNSPECIFIED
Date : 1 August 2014
Identification Number : 10.1785/0120130198
Additional Information : Coyright 2014 Seismological Society of America
Depositing User : Symplectic Elements
Date Deposited : 28 Nov 2014 11:32
Last Modified : 15 Jul 2015 01:08
URI: http://epubs.surrey.ac.uk/id/eprint/806693

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