The statistical accuracy of an arctangent bearing estimator

Maranda, B.H.

doi:10.1109/oceans.2003.178231

Cited by 24 publications

(13 citation statements)

References 5 publications

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“…2. The exact HCRB of (13), subtracted by the approximate HCRB derived in (77), then divided by the exact HCRB of (13). The setting has a low "effective" signal-to-noise ratio of and a high gain uncertainty of .…”

Section: Derivation Of Hcrb In Closed-formmentioning

confidence: 99%

An Hybrid Cramér-Rao Bound in Closed Form for Direction-of-Arrival Estimation by an “Acoustic Vector Sensor” With Gain-Phase Uncertainties

Tam

Wong

Song

2014

IEEE Trans. Signal Process.

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An "acoustic vector sensor" (also known as a "vector hydrophone" in underwater or sea-surface applications) is composed of three orthogonally oriented uni-axial particle-velocity sensors, plus a "pressure-sensor" (i.e., a microphone or a hydrophone)-all collocated in a point-like spatial geometry. (This collocated setup is versatile for direction finding, because its azimuth-elevation spatial response is independent of frequency.) This paper investigates how the acoustic vector sensor's direction finding accuracy would be degraded by random deviations from its nominal gain response and/or phase response. Each type of deviation is statistically modeled herein as a random variable with a small variance, reasonably so for a well-built acoustic vector sensor. The resulting hybrid Cramér-Rao bound (HCRB) is derived exactly in open form for azimuth-elevation arrival-angle estimation, but also approximated to produce a closed form that is simple enough to yield qualitative observations. This closed-form hybrid Cramér-Rao lower bound's tightness is illustrated by a new estimator developed in this paper.Index Terms-Acoustic signal processing, acoustic velocity measurement, array signal processing, direction of arrival estimation, sonar arrays, sonar signal processing, underwater acoustic arrays.

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Section: Derivation Of Hcrb In Closed-formmentioning

confidence: 99%

An Hybrid Cramér-Rao Bound in Closed Form for Direction-of-Arrival Estimation by an “Acoustic Vector Sensor” With Gain-Phase Uncertainties

Tam

Wong

Song

2014

IEEE Trans. Signal Process.

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“…Mention that acoustic wave propagation is horizontal and wave is arriving at the sonobuoy at the azimuth angle β as seen in Figure 5, then the three sensor outputs can be written as [2,9] (1)…”

Section: Calibration Factorsmentioning

confidence: 99%

“…However it is not so easy as for the omni sensor, because the directional signals are modulated into the composite signal using QDSB [2]. If we mention the output of the QSDB modulation we get (9) where ) t ( V c is the voltage applied from cosine dipole signal path, ) t ( V s is the voltage applied from sine dipole signal path, and ) t ( w p is the phase pilot angular frequency. In Turkish Sonobuoy Project, it is 15000 2 ⋅ π [8].…”

Section: Calibration Factorsmentioning

confidence: 99%

Laboratory and sea testing of difar sonobuoys

Kuzu

Danis

Kurt

et al. 2012

2012 IV International Congress on Ultra Modern Telecommunications and Control Systems

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Sonobuoy is a sensory device collecting underwater acoustic signals and transmitting them to some base stations via RF waveforms. In this paper, newly developed Turkish sonobuoy project's sea performance is presented. The proposed system architecture has been developed as a prototype in the lab environment. Lab experiments have been conducted successfully over a test bench representing typical submarine detection case. These experiments are designed to calibrate sensory system and optimize the RF transmission. The sonobuoy system has been used in open sea environment for the similar submarine scenario. The bearing angle representing submarine position has been detected within ± 10 o accuracy as required. We, then, compared the lab and experimental open sea results that were identical.

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“…It is also useful to analyze the cost-function in the presence of isotropic (i.e., diffuse) noise. We know from [16] d γ, respectively, or alternatively with a covariance matrix K d given by…”

Section: Cost-function For Isotropic Noisementioning

confidence: 99%

First-Order Adaptive Azimuthal Null-Steering for the Suppression of Two Directional Interferers

Derkx¹

2010

EURASIP J. Adv. Signal Process.

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An azimuth steerable first-order superdirectional microphone response can be constructed by a linear combination of three eigenbeams: a monopole and two orthogonal dipoles. Although the response of a (rotation symmetric) first-order response can only exhibit a single null, we will look at a slice through this beampattern lying in the azimuthal plane. In this way, we can define maximally two nulls in the azimuthal plane which are symmetric with respect to the main-lobe axis. By placing these two nulls on maximally two directional sources to be rejected and compensating for the drop in level for the desired direction, we can effectively reject these directional sources without attenuating the desired source. We present an adaptive null-steering scheme for adjusting the beampattern so as to obtain this suppression of the two directional interferers automatically. Closed-form expressions for this optimal null-steering are derived, enabling the computation of the azimuthal angles of the interferers. It is shown that the proposed technique has a good directivity index when the angular difference between the desired source and each directional interferer is at least 90 degrees.

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The statistical accuracy of an arctangent bearing estimator

Cited by 24 publications

References 5 publications

An Hybrid Cramér-Rao Bound in Closed Form for Direction-of-Arrival Estimation by an “Acoustic Vector Sensor” With Gain-Phase Uncertainties

An Hybrid Cramér-Rao Bound in Closed Form for Direction-of-Arrival Estimation by an “Acoustic Vector Sensor” With Gain-Phase Uncertainties

Laboratory and sea testing of difar sonobuoys

First-Order Adaptive Azimuthal Null-Steering for the Suppression of Two Directional Interferers

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