A Formal Analysis of the Compact Position Reporting Algorithm

  • Aaron DutleEmail author
  • Mariano Moscato
  • Laura Titolo
  • César Muñoz
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10712)


The Compact Position Reporting (CPR) algorithm is a safety-critical element of the Automatic Dependent Surveillance - Broadcast (ADS-B) protocol. This protocol enables aircraft to share their current states, i.e., position and velocity, with traffic aircraft in their vicinity. CPR consists of a collection of functions that encode and decode aircraft position data (latitude and longitude). Incorrect position decoding from CPR has been reported to the American and European organizations responsible for the ADS-B standard. This paper presents a formal analysis of the CPR algorithm in the Prototype Verification System (PVS). This formal analysis shows that the published requirements for correct decoding are insufficient, even if computations are assumed to be performed using exact real arithmetic. As a result of this analysis tightened requirements are proposed. These requirements, which are being considered by the standards organizations, are formally proven to guarantee correct decoding under exact real arithmetic. In addition, this paper proposes mathematically equivalent, but computationally simpler forms to several expressions in the CPR functions in order to reduce imprecise calculation.


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Copyright information

© 2015 US Government Work subject to 17 USC 105. All other rights reserved. 2017

Authors and Affiliations

  • Aaron Dutle
    • 1
    Email author
  • Mariano Moscato
    • 2
  • Laura Titolo
    • 2
  • César Muñoz
    • 1
  1. 1.NASA Langley Research CenterHamptonUSA
  2. 2.National Institute of AerospaceHamptonUSA

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