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Illustration of the proposed wave isolation algorithm by rotation

Illustration of the proposed wave isolation algorithm by rotation

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Download scientific diagram | Illustration of the proposed wave isolation algorithm by rotation onto the 6-C polarization direction vector. Given is the example of a Rayleigh wave (φ = 0 • , ξ = π/8). (a) The Rayleigh wave, as recorded by a 6-C station in dimensionless units (eq. 38). Note that the phase of the horizontal x-component 1 is shifted by 90 • compared to the other components. (b) The complex signal˜issignal˜ signal˜is formed by applying the Hilbert transform to the horizontal translational components and multiplication with the imaginary unit j. All components are now in phase. The real and imaginary parts ofãreof˜ofãre gathered in the real vector d. (c) After rotation onto its complex polarization direction vector, all motion due to the Rayleigh wave is isolated on one component (d 3 ). The real and imaginary parts are rotated together. from publication: 6-C polarization analysis using point measurements of translational and rotational ground-motion: Theory and applications | We provide a six component (6-C) polarization model for P-, SV-, SH-, Rayleigh-, and Love-waves both inside an elastic medium as well as at the free surface. It is shown that single-station 6-C data comprised of three components of rotational motion and three components of | Polarization, Ground Motion and Waves | ResearchGate, the professional network for scientists.

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