Abstract
Allan variances and its related methods are commonly used to analyse a sequence of data in the time domain to measure frequency stability of oscillators. It allows for a determination of noise type as a function of the averaging time. This method is one of the most popular for identifying different noise types in the sensors data, and it is usually used for a wide range of studies on the stability of oscillators or atomic clocks. In this paper, the authors propose their own algorithm for a qualitative and quantitative expression of noise type using Allan and related variation. The methods currently used allow for the determination of the noise type graphically only, without quantifying the type and percentages for each of the integration steps. Our study allows for a numerical interpretation of the Allan (and related) variances data. A numerical example of the described method is based on GPS satellite clock corrections for 1825–2086 GPS Week (5 years) based on daily 30-s sampling interval products.
Highlights
Allan deviation (ADEV) is a root of Allan variance (AVAR) and was established in the 1980s (Allan 1983, 1987) as a time-domain method for characterisation of the performance of atomic clocks and oscillators
We will be able to build precise error models using this type of investigation using Global navigation satellite system (GNSS) data
In the research in the field of stability of atomic clocks and oscillators, the adjustment of the type of noise to the angle of the graph is done manually based on graphic fitting (Amiri-Simkooei et al 2007; Senior et al 2008; Shi et al 2019). Authors describe their own algorithm for quantitative and qualitative description of noise type in a time series based on the daily clock products with 30-s sampling interval for a 5-year period and including one year (1 January–31 December 2018, 1982–2034 Global positioning system (GPS) Week) in detailed description
Summary
Allan deviation (ADEV) is a root of Allan variance (AVAR) and was established in the 1980s (Allan 1983, 1987) as a time-domain method for characterisation of the performance of atomic clocks and oscillators. Allan (and related) variance analysis is a very important and effective tool that helps to investigate and study the characteristics of the errors/noises in the GNSS observation for some precise positioning applications.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
