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 کاملModeling Inertial Sensors Errors Using Allan Variance
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...
متن کاملLong - Memory Processes , the Allan Variance and Wavelets
Long term memory has frequently been observed in physical time series. Statistical theory for long term memory stochastic processes is radically different from the standard time series analysis, which assumes short term memory. The Allen variance is a particular measure of variability developed for long term memory processes. This variance can be interpreted as a Haar wavelet coefficient varian...
متن کاملQuantifying noise in optical tweezers by allan variance.
Much effort is put into minimizing noise in optical tweezers experiments because noise and drift can mask fundamental behaviours of, e.g., single molecule assays. Various initiatives have been taken to reduce or eliminate noise but it has been difficult to quantify their effect. We propose to use Allan variance as a simple and efficient method to quantify noise in optical tweezers setups.We app...
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ژورنال
عنوان ژورنال: New Journal of Physics
سال: 2016
ISSN: 1367-2630
DOI: 10.1088/1367-2630/18/8/083035