Orthonormal Wavelets for System Identification
نویسندگان
چکیده
A new scheme of non-parametric identification method based on orthonormal wavelets for structures with multicoupled modes is developed and presented in this paper. The advantages of using Wavelets for system identification are that good localization and hierarchical multiresolution can be achieved in both time and frequency domains. Consequently, the system model with multiple coupled modes can be identified (by wavelet based identification techniques) more efficiently and accurately, especially for wideband (transient) and nonstationary signals. Results from the simulation case studies and modeling of a lo-story reinforced concrete building under earthquake loading show excellent promise for the system identification in the Wavelet domain.
منابع مشابه
MATLAB Programs for Generating Orthonormal Wavelets
This paper presents MATLAB programs for generating the coefficients of the lowpass analysis filter corresponding to orthonormal wavelet analyses. One of the programs generates the famous Daubechies maxflat wavelets, and a second generates the Daubechies complex symmetric orthonormal wavelets. The remaining two programs generate the space of all orthonormal wavelets in terms of parameterizations...
متن کاملPopular Wavelet Families and Filters and Their Use
Glossary 5 Introduction 6 Definition of Wavelets 7 Definition of Filters 8 Multi-Resolution Analysis 9 Wavelet Decomposition and Reconstruction 10 Refinable Functions 11 Compactly Supported Orthonormal Wavelets 12 Parameterization of Orthonormal Wavelets 13 Biorthogonal Wavelets 14 Prewavelets 15 Tight Wavelet Frames 16 Tight Wavelet Frames over Bounded Domain 17 q-Dilated Orthonormal Wavelets ...
متن کاملThe Leveraged Waveletsand Galerkin - Wavelets
We present a scheme that leverage orthonormal or biorthogonal wavelets to a new system of biorthogonal wavelets. The leveraged biorthogonal wavelets will have some nice properties. If we start with orthonormal wavelets, the leveraged scaling functions and wavelets are compactly supported and are diierentiable. The derivatives of the leveraged wavelets are orthogonal to their translations; the d...
متن کاملThe Leveraged
We present a scheme that leverage orthonormal or biorthogonal wavelets to a new system of biorthogonal wavelets. The leveraged biorthogonal wavelets will have some nice properties. If we start with orthonormal wavelets, the leveraged scaling functions and wavelets are compactly supported and are diierentiable. The derivatives of the leveraged wavelets are orthogonal to their translations; the d...
متن کاملGeneral Existence Theorems for Orthonormal Wavelets
Methods from noncommutative harmonic analysis are used to develop an abstract theory of orthonormal wavelets. The relationship between the existence of an orthonormal wavelet and the existence of a multi-resolution is clariied, and four theorems guaranteeing the existence of wavelets are proved. As a special case of the fourth theorem, a generalization of known results on the existence of smoot...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002