Novel Seismic Correction Approaches without Instrument Data, Using Adaptive Methods and De-noising

This paper compares two adaptive methods of de-convolving the instrument responses from seismic events against the standard single-degree-of-freedom (SDOF) method. The Least Mean Squares (LMS) algorithm and the square root, Recursive Least Squares (RLS) algorithm are considered and investigated using three seismic events. Both adaptive methods do not assume any knowledge of instrument data, but use seismic readouts from which to estimate the inverse instrument response. The paper shows that in the absence of instrument data, adaptive methods provide reasonably consistent acceleration response spectra and power spectral densities. In addition the square root, RLS provides results more comparable with theoretical trends and should be the inverse filter of first preference if instrument data is not available.