A Novel Weak Signal Detection Method of Electromagnetic LWD Based on a Duffing Oscillator

Wu, Aibin; Mwachaka, Saleh M.; Pei, Yanliang; Fu, Qingqing

doi:10.1155/2018/5847081

Cited by 8 publications

(4 citation statements)

References 17 publications

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“…Despite the fact that noise can be very large, it can only influence the local trajectory on the phase plane diagram, not create phase transitions. When a signal s(t) has the same frequency as the reference signal, it is buried in noise [5]. As a result, if d exceeds dcr, a phase transition will occur, and the large periodic motion will draw it out of the background noise.…”

Section: Some Weak Signal Detection Techniques 21 Chaotic Detection S...mentioning

confidence: 99%

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Performance comparison of some weak signal detection techniques

Mohammed

Mahmood

2022

IJEECS

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Performance comparison of some weak signal detection techniques is introduced. This comparison is very necessary since different applications require different operating conditions such as signal to noise ratio SNR, bandwidth, coherency, processing time and complexity. Three methods for detecting weak signals are considered. These are based on chaos theory, wavelet transform, and stocastic resonance. A detection algorithm based on a rectangular region in phase space plane is suggested in chaos method. The stocastic resonance method is considered in this research, as it is used for signal detection in underwater at a certain frequency. Simulation results obtained from MATLAB programs verify the studied methods giving an estimation of probability of detection and probability of false alarm versus SNR.

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Section: Some Weak Signal Detection Techniques 21 Chaotic Detection S...mentioning

confidence: 99%

“…A stochastic resonance is a nonlinear event in a modulated bistable system or multistable system generated by periodic signals with additional noise. It is illustrated by the second-order nonlinear differential equation [23], expressed as (5).…”

Section: Stochastic Resonance (Sr) 231 Basic Model Of Bistable Srmentioning

confidence: 99%

Performance comparison of some weak signal detection techniques

Mohammed

Mahmood

2022

IJEECS

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“…Essentially, chaotic systems present a high sensitivity to a minute variations of their initial conditions or a tiny perturbations, such that even a very slight disturbance can lead to that the motion track deviates completely from the system's original trajectory after a certain period of evolution. so chaotic system is widely employed in digital watermarking [1][2][3], pseudo noise code generation [4][5][6], image encryption [7][8][9], weak signal detection [10][11][12] and so on.…”

Section: Introductionmentioning

confidence: 99%

Generation multi-scroll chaotic attractors using composite sine function and its application in image encryption

Ding,

Li,

Wang

2024

Phys. Scr.

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In this paper, a composite sine function is proposed and applied in a chaotic system, which is capable of generating definite number of chaotic attractors. The proposed composite sine function possesses infinite breakpoints, but it can produce a fixed number of scrolls by adjusting its parameters. Compared to other chaotic systems with multiple scrolls chaotic attractors, the realization circuit of the chaotic system with compound sine function allows obtaining different numbers of scrolls by adjusting only one resistance value. As a result, the circuit structure remains unchanged despite variations in the number of scrolls. Various analytical methods are applied to study the dynamical behaviors of the proposed chaotic system, including Lyapunov exponent, equilibrium point, bifurcation diagram,algorithm. Furthermore, phase diagram, spectral entropy and C0-based on the analysis of dynamical characteristics, theelectronic circuits of the proposed system are given on Multisim circuit simulationsoftware, and the multi-scroll chaotic attractors exhibit consistency with the numericalsimulation results. Finally, we incorporated the proposed chaotic system into a DNA coding algorithm for image encryption, and this method exhibits excellent encryption efficiency and high level of security.

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“…Wu et al [ 30 ] designed an improved Duffing chaotic system and applied it to the resistivity detection of a near-bit electromagnetic logging signal. The test results showed that the smaller the amplitude of the tested signal, the more sensitive and noise resistant the system is to the signal, and the lower the SNR of the detectable signal.…”

Section: Introductionmentioning

confidence: 99%

Research on the Cooperative Detection of Stochastic Resonance and Chaos for Weak SNR Signals in Measurement While Drilling

Yang

Zhang

et al. 2021

Sensors

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In the process of drilling, severe downhole vibration causes attitude measurement sensors to be erroneous; the errors will accumulate gradually during the inclination calculation. As a result, the ultimate well path could deviate away from the planned trajectory. In order to solve this problem, this paper utilized the stochastic resonance (SR) and chaos phase transition (CPT) produced by the second-order Duffing system to identify the frequency and estimate the parameters of the signal during measurement while drilling. Firstly, the idea of a variable-scale is introduced in order to reconstruct the frequency of the attitude measurement signal, and an SR frequency detection model based on a scale transformation Duffing system is established in order to meet the frequency limit condition of the SR. Then, an attitude measurement signal with a known frequency value is input into the Duffing chaos system, and the scale transformation is used again to make the frequency value meet the parameter requirement of chaos detection. Finally, two Duffing oscillators with different initial phases of their driving signal are combined in order to estimate the amplitude and phase parameters of the measurement signal by using their CPT characteristics. The results of the laboratory test and the field-drilling data demonstrated that the proposed algorithm has good immunity to the interference noise in the attitude measurement sensor, improving the solution accuracy of the inclination in a severe noise environment and thus ensuring the dynamic stability of the well trajectory.

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A Novel Weak Signal Detection Method of Electromagnetic LWD Based on a Duffing Oscillator

Cited by 8 publications

References 17 publications

Performance comparison of some weak signal detection techniques

Performance comparison of some weak signal detection techniques

Generation multi-scroll chaotic attractors using composite sine function and its application in image encryption

Research on the Cooperative Detection of Stochastic Resonance and Chaos for Weak SNR Signals in Measurement While Drilling

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