Chaos weak signal detecting algorithm and its application in the ultrasonic Doppler bloodstream speed measuring

Chen, H Y; Lv, Junyang; Zhang, S Q; Zhang, L G; Li, J

doi:10.1088/1742-6596/13/1/075

Cited by 6 publications

(5 citation statements)

References 2 publications

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“…Figure 7A shows the CW Doppler scheme proposed by 32 for the detection of blood velocity in an artery; the emitter sends a frontal ultrasound wave

f_{0}

toward the flow direction with an angle of incidence

θ

concerning the skin surface, and when the wave is reflected by the blood, the detector perceives a change in frequency

Δ f

given by

Δ f = 2 f_{0} \frac{ν}{c} \cos θ,

where

ν

is the speed of blood flow, c is the speed of sound over soft tissue ranging from 1540 to 1600 m/s, 33 and

θ

, known as the insonation angle has an approximate value of

45 \pm 4^{°}

34,35 …”

Section: Experiments and Resultsmentioning

confidence: 99%

“…The study presented in reference 32 focuses on the estimation of average blood flow based on Doppler frequency using a Duffing chaotic system configured in the intermittence regime. While this method achieves high detection rates with an SNR threshold of approximately −25 dB, one limitation is that the study does not report the systematic error introduced, which is an important factor for assessing the accuracy of the estimation.…”

Section: Discussionmentioning

confidence: 99%

“…Figure 7A shows the CW Doppler scheme proposed by 32 for the detection of blood velocity in an artery; the emitter sends a frontal ultrasound wave f 0 toward the flow direction with an angle of incidence θ concerning the skin surface, and when the wave is reflected by the blood, the detector perceives a change in frequency Δf given by F I G U R E 6 Solution scheme for the reconstruction of blood velocity profile based on ANLSOS system.…”

Section: Doppler Signal Conditioningmentioning

confidence: 99%

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Adaptive Doppler bio‐signal detector and time‐frequency representation based on non‐Liènard oscillator

Pancóatl‐Bortolotti,

Enríquez‐Caldera,

Costa

et al. 2023

Numer Methods Biomed Eng

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The work presented here provides the guidelines and results for designing and implementing a highly sensitive modified Van der Pol – Duffing oscillator with a trigonometric damping function (VTD). This VTD can exhibit periodic and quasi‐chaotic behavior necessary for application in weak signal detection. Here, we present two proposals: (1) A method based on a quasi‐chaotic intermittent array (ANLIOA), whose all VTD parameters are calculated and fine‐tuned toward a critical state between chaotic and periodic state through a Lyapunov exponent procedure, and (2) A method based on a single oscillator in an adaptive stopping oscillation system (ANLSOS), where VTD is established within an oscillatory regime. Both systems can detect non‐stationary signals while reconstructing the time‐frequency spectrogram in high resolution within severe noise conditions. The systems were adapted for the detection of a synthesized Doppler signal corresponding to the blood flow velocity profile from an artery. Comparative results using typical oscillators such as Duffing or Van der Pol demonstrate the superiority of the VTD oscillator in detection when used for both methods, whose mean absolute percentage error reached around 6% for a signal‐to‐noise ratio (SNR) of −10 dB. Furthermore, compared to other time‐frequency methods, ANLIOA and ANLSOS promise high precision in detecting Doppler signals with low rates of frequency changes while minimizing energy emission and avoiding possible bio‐thermal effects.

show abstract

“…Figure 7A shows the CW Doppler scheme proposed by 32 for the detection of blood velocity in an artery; the emitter sends a frontal ultrasound wave

f_{0}

toward the flow direction with an angle of incidence

θ

concerning the skin surface, and when the wave is reflected by the blood, the detector perceives a change in frequency

Δ f

given by

Δ f = 2 f_{0} \frac{ν}{c} \cos θ,

where

ν

is the speed of blood flow, c is the speed of sound over soft tissue ranging from 1540 to 1600 m/s, 33 and

θ

, known as the insonation angle has an approximate value of

45 \pm 4^{°}

34,35 …”

Section: Experiments and Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Doppler Signal Conditioningmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive Doppler bio‐signal detector and time‐frequency representation based on non‐Liènard oscillator

Pancóatl‐Bortolotti,

Enríquez‐Caldera,

Costa

et al. 2023

Numer Methods Biomed Eng

View full text Add to dashboard Cite

show abstract

“…This chaos is stimulated with the help of Duffing equation. For some recent results on Duffing equation and its applications, see [6][7][8][9] and the references therein. In fact, the success at analyzing and predicting the onset of chaos in speech and its simulation by equations such as the Duffing equation has enhanced the hope that we might be able to predict the onset of arrhythmia and heart attacks someday.…”

Section: Introductionmentioning

confidence: 99%

Existence and approximation of solutions of forced duffing type integro-differential equations with three-point nonlinear boundary conditions

Ahmad

Sivasundaram

2010

Nonlinear Analysis: Real World Applications

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“…This chaos is stimulated with the help of Duffing equation. For the recent development on the subject, see [1][2][3][4] and the references therein. In fact, the success at analyzing and predicting the onset of chaos in speech and its simulation by equations such as the Duffing equation has enhanced the hope that we might be able to predict the onset of arrhythmia and heart attacks someday.…”

Section: Introductionmentioning

confidence: 99%

Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions

Ahmad

Alghamdi

2008

Computer Physics Communications

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Chaos weak signal detecting algorithm and its application in the ultrasonic Doppler bloodstream speed measuring

Cited by 6 publications

References 2 publications

Adaptive Doppler bio‐signal detector and time‐frequency representation based on non‐Liènard oscillator

Adaptive Doppler bio‐signal detector and time‐frequency representation based on non‐Liènard oscillator

Existence and approximation of solutions of forced duffing type integro-differential equations with three-point nonlinear boundary conditions

Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions

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