A tetrahedral array of isotropic sensors, each suffering a random complex gain -The resulting hybrid Cramér-Rao bound for direction finding

Dominic Makaa Kitavi, Tsair Chuan Lin, Kainam Thomas Wong

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review


Consider a tetrahedral sensor array consisting of isotropic sensors that are nominally identical. In the real world, this nominal identity is not perfectly achievable. What if these sensors were each to suffer an uncertainty in its complex-value gain, which is modeled here stochastically as complex-value Gaussian random variables? What then would happen to the entire tetrahedral array's overall polar-azimuth direction-finding accuracy? This problem is quantified here via the hybrid Cramér-Rao bound (HCRB) of the tetrahedral sensor's polar-azimuth direction-of-arrival estimates. This hybrid Cramér-Rao bound is found analytically to be same as the Cramér-Rao bound (if the complex-gain uncertainty does not exist) except by a multiplicative factor that equals one plus the variance of the complex-gain uncertainty.
Original languageEnglish
Title of host publicationProceedings of the 2016 IEEE National Aerospace and Electronics Conference-Ohio Innovation Summit, NAECON-OIS 2016
Number of pages4
ISBN (Electronic)9781509034413
Publication statusPublished - 14 Feb 2017
Event2016 IEEE National Aerospace and Electronics Conference and Ohio Innovation Summit, NAECON-OIS 2016 - Dayton, United States
Duration: 26 Jul 201629 Jul 2016


Conference2016 IEEE National Aerospace and Electronics Conference and Ohio Innovation Summit, NAECON-OIS 2016
Country/TerritoryUnited States


  • Acoustic interferometry
  • array signal processing
  • direction of arrival estimation
  • interferometry
  • sonar arrays
  • underwater acoustic arrays

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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