Ten lectures on wavelets
Numerical methods using MATLAB
Numerical methods using MATLAB
Adaptive filter theory (3rd ed.)
Adaptive filter theory (3rd ed.)
Design of Numerical Filters with Applications to Missile Data Processing
Journal of the ACM (JACM)
Applied Numerical Analysis Using MATLAB
Applied Numerical Analysis Using MATLAB
Multirate Digital Signal Processing: Multirate Systems, Filter Banks, Wavelets
Multirate Digital Signal Processing: Multirate Systems, Filter Banks, Wavelets
An approach to seismic correction which includes wavelet de-noising
ICCST '02 Proceedings of the sixth conference on Computational structures technology
A review of procedures used for the correction of seismic data
ICAAISE '01 Proceedings of the eighth international conference on The application of artificial intelligence to civil and structural engineering computing
Elements of Wavelets for Engineers and Scientists
Elements of Wavelets for Engineers and Scientists
De-noising by soft-thresholding
IEEE Transactions on Information Theory
A hybrid time-frequency method based on improved Morlet wavelet and auto terms window
Expert Systems with Applications: An International Journal
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Non-linear finite element analyses of structures that are subject to seismic actions require high quality accelerogram data. Raw accelerogram data needs to be adjusted to remove the influence of the transfer function of the instrument itself. This process is known as correction. Unfortunately, information about the recording instrument is often unknown or unreliable. This is most often the case for older analogue recordings. This paper uses a recursive least squares (RLS) algorithm to identify the instrument characteristics even when completely unknown. The results presented in the paper implement a modern approach to de-noising the accelerogram by employing the wavelet transform. This technique removes only those components of the signal whose amplitudes are below a certain threshold and is not therefore frequency selective. It supersedes to some extent conventional band pass filtering which requires a careful selection of cut-off frequencies, now unnecessary.