Ultrasonic bone localization algorithm based on time-series cumulative kurtosis

Robles, Guillermo Cortés; Fresno, José Manuel; Giannetti, R.

doi:10.1016/j.isatra.2016.09.012

Cited by 8 publications

(3 citation statements)

References 21 publications

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“…Thus the arrival of the direct sound is related to the point in which the kurtosis reaches a maximum. Thus, taking the corresponding time of the direct path, the phase velocity can be evaluated [43]. Unlike classical ToF methods, a high order cumulant such as the kurtosis contains amplitude and phase information and therefore provides an interesting advantage in the determination of the onset of a signal [44].…”

Section: Kurtosismentioning

confidence: 99%

Determination of the dispersion relation in cross-laminated timber plates: Benchmarking of time- and frequency-domain methods

et al. 2022

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Section: Kurtosismentioning

confidence: 99%

Determination of the dispersion relation in cross-laminated timber plates: Benchmarking of time- and frequency-domain methods

et al. 2022

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“…In summary, the procedure to determine the position of the source is straightforward. First, the TDOA at different angles in one turn are calculated analyzing the onset of the pulses of the incoming signals to both antennas using any of the algorithms presented in [ 25 ] which, in this work, is based on the Hinkley criterion. Then, the angles where the TDOA are zero,

and

, are calculated interpolating the closest angles above and below zero TDOA because the rotation is done in discrete angles.…”

Section: Localization Basismentioning

confidence: 99%

Radio-Frequency Localization of Multiple Partial Discharges Sources with Two Receivers

Robles

Fresno

Martínez-Tarifa

2018

Sensors

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Spatial localization of emitting sources is especially interesting in different fields of application. The focus of an earthquake, the determination of cracks in solid structures, or the position of bones inside a body are some examples of the use of multilateration techniques applied to acoustic and vibratory signals. Radar, GPS and wireless sensors networks location are based on radiofrequency emissions and the techniques are the same as in the case of acoustic emissions. This paper is focused on the determination of the position of sources of partial discharges in electrical insulation for maintenance based on the condition of the electrical equipment. The use of this phenomenon is a mere example of the capabilities of the proposed method but it is very representative because the emission can be electromagnetic in the VHF and UHF ranges or acoustic. This paper presents a method to locate more than one source in space with only two receivers, one of them in a fixed position and the other describing a circumference around the first one. The signals arriving from the different sources to the antennas are first separated using a classification technique based on their spectral components. Then, the individualized time differences of arrival (TDOA) from the sources collected at different angles describe a function, angle versus TDOA, that has all the geometric information needed to locate the source. The paper will show how to derive these functions for any source analytically with the position of the source as unknown parameters. Then, it will be demonstrated that it is possible to fit the curve with experimental measurements of the TDOA to obtain the parameters of the position of each source. Finally, the technique is extended to the localization of the emitter in three dimensions.

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“…First, the TDOA at different angles in one turn are calculated analysing the onset of the pulses of the incoming signals to both antennas using any algorithm presented in [5] which, in this work, is based on the Hinkley criterion. Then, the angles where the TDOA are minima, θ 1 and θ 2 , are calculated interpolating the closest angles above and below zero.…”

Section: Intersection Of Linesmentioning

confidence: 99%

Planar Localization of Radio-Frequency or Acoustic Sources with Two Receivers

Fresno

Robles

Martínez-Tarifa

2017

The 4th International Electronic Conference on Sensors and Applications

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Spatial localization of emitting sources is especially interesting in different fields of application. The focus of an earthquake, the determination of cracks in solid structures or the position of bones inside a body are some examples of the use of multilateration techniques applied to acoustic and vibratory signals. Radar, GPS and wireless sensors networks location are based on radiofrequency emissions and the techniques are the same as in the case of acoustic emissions. This paper is focused on the determination of the position of sources of partial discharges inside electrical insulation for maintenance based on the condition of the electrical machine. The use of this phenomenon is a mere example of the capabilities of the proposed method because its emission can be electromagnetic in the UHF range or acoustic when the insulation is immersed in oil. Generally, when a pulse is radiated from a source, the wave will arrive to two receivers at different times. One of the advantages of measuring these time differences of arrival or TDOA is that it is not required a common clock as in other localization techniques based on the time of arrival (TOA) of the pulse to the receiver. With only two sensors, all the possible points in the plane that would give the same TDOA describe a hyperbola. Using an independent third receiver and calculating the intersection of the three hyperbolas will give the position of the source. Therefore, planar localization of emitters using multilateration techniques can be solved at least with three receivers. This paper presents a method to locate sources in a plane with only two receivers, one of them in a fixed position and the other is placed describing a circumference around the first one. The TDOA are measured at different angles completing a total turn and obtaining a function, angle versus TDOA, that has all the geometric information needed to locate the source. The paper will show how to derive this function analytically with two unknown parameters: the distance and bearing angle from the fixed receiver to the source. Then, it will be demonstrated that it is possible to fit the curve with experimental measurements of the TDOA to obtain the parameters of the position of the source.

show abstract

Ultrasonic bone localization algorithm based on time-series cumulative kurtosis

Cited by 8 publications

References 21 publications

Determination of the dispersion relation in cross-laminated timber plates: Benchmarking of time- and frequency-domain methods

Determination of the dispersion relation in cross-laminated timber plates: Benchmarking of time- and frequency-domain methods

Radio-Frequency Localization of Multiple Partial Discharges Sources with Two Receivers

Planar Localization of Radio-Frequency or Acoustic Sources with Two Receivers

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