Atomic clocks are essential elements in a variety of applications, such as global navigation satellite systems. Consequently, monitoring their performances is fundamental. The Allan variance is the key statistical tool for the performance characterization of atomic clocks. This paper proves that the Allan variance computed from frequency measurements with missing data is affected by a bias, which can make it dramatically different from the expected behavior in the full data case. Furthermore, it shows how to eliminate (or largely reduce) this bias by correcting the Allan variance. The corrected Allan variance is obtained for some of the most common atomic clock noise components, and it is validated through numerical simulations.

The Corrected Allan Variance: Stability Analysis of Frequency Measurements with Missing Data / Galleani, L.; Sesia, I.. - In: IEEE TRANSACTIONS ON ULTRASONICS, FERROELECTRICS, AND FREQUENCY CONTROL. - ISSN 1525-8955. - 66:10(2019), pp. 1667-1683. [10.1109/TUFFC.2019.2927424]

The Corrected Allan Variance: Stability Analysis of Frequency Measurements with Missing Data

I. Sesia
2019

Abstract

Atomic clocks are essential elements in a variety of applications, such as global navigation satellite systems. Consequently, monitoring their performances is fundamental. The Allan variance is the key statistical tool for the performance characterization of atomic clocks. This paper proves that the Allan variance computed from frequency measurements with missing data is affected by a bias, which can make it dramatically different from the expected behavior in the full data case. Furthermore, it shows how to eliminate (or largely reduce) this bias by correcting the Allan variance. The corrected Allan variance is obtained for some of the most common atomic clock noise components, and it is validated through numerical simulations.
File in questo prodotto:
File Dimensione Formato  
TheCorrectedAllanVariance-author version.pdf

accesso aperto

Tipologia: submitted version (author’s pre-print)
Licenza: Pubblico - Tutti i diritti riservati
Dimensione 1.57 MB
Formato Adobe PDF
1.57 MB Adobe PDF Visualizza/Apri
08756280.pdf

non disponibili

Tipologia: final published article (publisher’s version)
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 2.42 MB
Formato Adobe PDF
2.42 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11696/61149
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact