Phase-difference ambiguity resolution for a single-frequency signal

Tarig Ballal*, Chris J. Bleakley

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


In this letter, we propose a novel method to disambiguate the phase-difference of a single-frequency signal observed between a pair of spatially separated sensors, with inter-sensor spacing exceeding half the wavelength (λ/2) of the signal. We mathematically prove that, in a noiseless case, the true phase-difference can unambiguously be estimated utilizing a third collinear sensor, provided that the absolute difference between the two smaller inter-sensor spacings is less than λ/2. The performance of the method is characterized by estimating the probability of failure in noisy cases.

Original languageEnglish (US)
Pages (from-to)853-856
Number of pages4
JournalIEEE Signal Processing Letters
StatePublished - 2008
Externally publishedYes


  • Phase-difference unwrapping
  • Sensor arrays
  • Time-delay estimation

ASJC Scopus subject areas

  • Signal Processing
  • Applied Mathematics
  • Electrical and Electronic Engineering


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