Navigation Solution with Wavelet and Allan Variance
نویسندگان
چکیده
منابع مشابه
The Wavelet Variance , Allan Variance and Leakage
Wavelets have recently been a subject of great interest in geophysics, mathematics and signal processing. The discrete wavelet transform can be used to decompose a time series with respect to a set of basis functions, each one of which is associated with a particular scale. The properties of a time series at different scales can then be summarized by the wavelet variance, which decomposes the v...
متن کاملSpectral ambiguity of Allan variance
The phase-noise spectrum determines the Allan variance by a well-known integral formula. It is shown here that unique inversion of this formula is not possible in general because the mapping from spectrum to Allan variance is not one-to-one. A necessary and sufficient condition for two distinct phase spectra to have the same Allan variance is given.
متن کاملThe Allan Variance as an Estimator of the Long-memory Parameter: Time-domain and Wavelet Methods
The Allan variance is a well-known estimator of frequency stability and is often used to classify a time series into one of the standard clock noise types. By identifying the power-law model for clock noise with its long-memory equivalent, the Allan variance can also serve as an estimate for the long-memory parameter. Although the Allan variance is not a maximum likelihood estimator, it can be ...
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It is well known that Inertial Navigation Systems (INS) can provide high accuracy information on the position, velocity, and attitude over a short time period. However, their accuracy degrades rapidly with time. The requirements for accurate estimation of navigation information necessitate the modeling of the sensors' noise components. Several methods have been devised for stochastic modeling o...
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A wavelet-based bootstrap method is proposed to generate surrogate data from inertial sensor noise time series and to construct bootstrap-based confidence intervals of selected parameters which are used to characterize their noise performance. The Allan variance, its links with wavelets and the whitening action of wavelet decompositions applied to long-memory stochastic processes are considered...
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ژورنال
عنوان ژورنال: Energy Procedia
سال: 2011
ISSN: 1876-6102
DOI: 10.1016/j.egypro.2011.10.454