Phase-difference ambiguity resolution for a single-frequency signal

Tarig Ballal; Chris J. Bleakley

doi:10.1109/LSP.2008.2005439

Phase-difference ambiguity resolution for a single-frequency signal

Tarig Ballal^*, Chris J. Bleakley

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	853-856
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	15
DOIs	https://doi.org/10.1109/LSP.2008.2005439
State	Published - 2008
Externally published	Yes

Bibliographical note

Funding Information:
Manuscript received April 30, 2008; revised July 23, 2008. This work was supported by Science Foundation Ireland (SFI). The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Yimin Zhang.

Keywords

Phase-difference unwrapping
Sensor arrays
Time-delay estimation

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering
Applied Mathematics

Access to Document

10.1109/LSP.2008.2005439

Cite this

@article{ed0f2a9932334039823a4a6969f31d4b,

title = "Phase-difference ambiguity resolution for a single-frequency signal",

abstract = "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.",

keywords = "Phase-difference unwrapping, Sensor arrays, Time-delay estimation",

author = "Tarig Ballal and Bleakley, {Chris J.}",

note = "Funding Information: Manuscript received April 30, 2008; revised July 23, 2008. This work was supported by Science Foundation Ireland (SFI). The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Yimin Zhang.",

year = "2008",

doi = "10.1109/LSP.2008.2005439",

language = "English (US)",

volume = "15",

pages = "853--856",

journal = "IEEE Signal Processing Letters",

issn = "1070-9908",

publisher = "IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC",

}

TY - JOUR

T1 - Phase-difference ambiguity resolution for a single-frequency signal

AU - Ballal, Tarig

AU - Bleakley, Chris J.

N1 - Funding Information: Manuscript received April 30, 2008; revised July 23, 2008. This work was supported by Science Foundation Ireland (SFI). The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Yimin Zhang.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Phase-difference unwrapping

KW - Sensor arrays

KW - Time-delay estimation

UR - http://www.scopus.com/inward/record.url?scp=67650134138&partnerID=8YFLogxK

U2 - 10.1109/LSP.2008.2005439

DO - 10.1109/LSP.2008.2005439

M3 - Article

AN - SCOPUS:67650134138

SN - 1070-9908

VL - 15

SP - 853

EP - 856

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

ER -

Phase-difference ambiguity resolution for a single-frequency signal

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this