Adaptive second-order Volterra filtering and its application to second-order drift phenomena

• Published in: IEEE journal of oceanic engineering Vol. 19; no. 2; pp. 183 - 192
• Main Authors: Kiho Kim, Sung Bae Kim, Powers, E.J., Miksad, R.W., Fischer, F.J.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-04-1994; Institute of Electrical and Electronics Engineers
• Subjects: Adaptive filters; Digital filters; Earth, ocean, space; Exact sciences and technology; External geophysics; Filtering; Frequency domain analysis; Hydrodynamics; Integrated circuit modeling; Kernel; Leg; Marine optics and underwater sound; Nonlinear filters; Nonlinear systems; Physics of the oceans; Underwater sound; Second order; Hydrodynamic force; Platform; Adaptive filtering; Swell; Tension leg platform; Algorithm; Spectral analysis; Response function; Least squares method; Resonance; Offshore installation; Underwater acoustics
• ISSN: 0364-9059; 1558-1691
• DOI: 10.1109/48.286640

This paper presents an adaptive second-order Volterra filter and its application to model-test data of a prototype tension leg platform (TLP). The least-squares approach of a second-order Volterra model and its adaptive filtering algorithm based on recursive least-squares are introduced. The second-order Volterra filter is applied to identify the linear and quadratically nonlinear relationship between irregular sea wave excitation and the surge response of a tension leg platform. Next, a deconvolution technique, based on the impulse invariance standard Z-transform, is utilized to recover the linear and quadratic forces exerted on the TLP.< >