Quasi-Fluid-Mechanics-Based Quasi-Bayesian Cramér-Rao Bounds for Deformed Towed-Array Direction Finding

Petr Tichavský, Kainam Thomas Wong

Research output: Journal article publicationJournal articleAcademic researchpeer-review

16 Citations (Scopus)


New quasi-Bayesian (hybrid) Cramér-Rao bound (CRB) expressions are herein derived for far-field deep-sea direction-of-arrival (DOA) estimation with a nominally linear towed-array that 1) is deformed by spatio-temporally correlated oceanic currents, which have been previously overlooked in the towed-array shape-deformation statistical analysis literature, 2) is deformed by temporally correlated motion of the towing vessel, which is modeled only as temporally uncorrelated in prior literature, and 3) suffers gain-uncertainties and phase-uncertainties in its constituent hydrophones. This paper attempts to bridge an existing literature gap in deformed towed-array DOA-estimation performance analysis, by simultaneously a) incorporating several essential fluid-mechanics considerations to produce a shape-deformation statistical model physically more realistic than those previously used for DOA performance analysis and b) rigorously derive a mathematical analysis to characterize quantitatively and qualitatively the DOA stimation's statistical performance. The derived CRB expressions are parameterized in terms of the towed-array's physically measurable nonidealities for the single-source case. The new hybrid-CRB expressions herein derived are numerically more stable than those in the current literature.
Original languageEnglish
Pages (from-to)36-47
Number of pages12
JournalIEEE Transactions on Signal Processing
Issue number1
Publication statusPublished - 1 Jan 2004
Externally publishedYes


  • Acoustical signal processing
  • Array signal processing
  • Direction-of-arrival estimation
  • Marine telemetry
  • Parameter estimation
  • Sonar arrays
  • Sonar signal processing
  • Underwater acoustic arrays

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


Dive into the research topics of 'Quasi-Fluid-Mechanics-Based Quasi-Bayesian Cramér-Rao Bounds for Deformed Towed-Array Direction Finding'. Together they form a unique fingerprint.

Cite this