scholarly journals A new ambiguity acceptance test threshold determination method with controllable failure rate

2014 ◽  
Vol 89 (4) ◽  
pp. 361-375 ◽  
Author(s):  
Lei Wang ◽  
Sandra Verhagen
Keyword(s):  
Failure Rate ◽  
Acceptance Test ◽  
Determination Method ◽  
Threshold Determination ◽  
Test Threshold ◽  
Controllable Failure Rate

scholarly journals A Controllable Success Fix Rate Threshold Determination Method for GNSS Ambiguity Acceptance Tests

2019 ◽  
Vol 11 (7) ◽  
pp. 804 ◽  
Author(s):  
Lei Wang ◽  
Ruizhi Chen ◽  
Lili Shen ◽  
Fu Zheng ◽  
Yanming Feng ◽  
...  
Keyword(s):  
Likelihood Ratio ◽  
Failure Rate ◽  
Test Theory ◽  
Acceptance Test ◽  
Determination Method ◽  
Ratio Requirement ◽  
Threshold Determination ◽  
Gnss Data ◽  
The Impact ◽  
Acceptance Tests

GNSS integer ambiguity acceptance test is one of the open problems in GNSS data processing. A number of ambiguity acceptance tests have been proposed from different perspectives and then unified into the integer aperture estimation framework. The existing comparative studies indicate that the impact of test statistics form on the test performance is less critical, while how to construct an efficient, practical test threshold is still challenging. Based on the likelihood ratio test theory, a new computationally efficient ambiguity acceptance test with controllable success fix rate, namely the fixed likelihood ratio (FL-) approach is proposed, which does not require Monte Carlo simulation. The study indicates that the fixed failure rate (FF-) approach can only control the overall failure rate of the acceptance region, but the local failure rate is not controllable. The proposed FL-approach only accepts the fixed solution meeting the likelihood ratio requirement. With properly chosen likelihood ratio threshold, the FL-approach achieves comparable success rate as the FF-approach and even lower failure rate than the FF-approach for the strong underlying model cases. The fixed success fix rate of the FL-approach is verified with both simulation data and real GNSS data. The numerical results indicate that the success fix rate of the FL-approach achieves >98% while the failure rate is <1.5%. The RTK positioning with ambiguities tested by the FL-approach achieved 1–2cm horizontal precision and 2–4 cm vertical precision for all tested baselines, which confirms that the FL-approach can serve as a reliable and efficient threshold determination method for the GNSS ambiguity acceptance test problem.

scholarly journals Threshold determination method of Duffing chaotic system based on multi-scale entropy

2020 ◽  
Vol 69 (16) ◽  
pp. 160501
Author(s):  
Ze-Hui Huang ◽  
Ya-An Li ◽  
Zhe Chen ◽  
Lian Liu
Keyword(s):  
Chaotic System ◽  
Determination Method ◽  
Multi Scale ◽  
Threshold Determination

scholarly journals A New Wavelet Threshold Determination Method Considering Interscale Correlation in Signal Denoising

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Can He ◽  
Jianchun Xing ◽  
Juelong Li ◽  
Qiliang Yang ◽  
Ronghao Wang
Keyword(s):  
Simulation Experiment ◽  
Simple Calculation ◽  
Signal Denoising ◽  
Determination Method ◽  
Propagation Characteristics ◽  
Correlation Index ◽  
Denoising Method ◽  
Threshold Determination ◽  
New Correlation ◽  
Simulation Results

Due to simple calculation and good denoising effect, wavelet threshold denoising method has been widely used in signal denoising. In this method, the threshold is an important parameter that affects the denoising effect. In order to improve the denoising effect of the existing methods, a new threshold considering interscale correlation is presented. Firstly, a new correlation index is proposed based on the propagation characteristics of the wavelet coefficients. Then, a threshold determination strategy is obtained using the new index. At the end of the paper, a simulation experiment is given to verify the effectiveness of the proposed method. In the experiment, four benchmark signals are used as test signals. Simulation results show that the proposed method can achieve a good denoising effect under various signal types, noise intensities, and thresholding functions.

scholarly journals Improving GNSS Ambiguity Acceptance Test Performance with the Generalized Difference Test Approach

Sensors ◽  
2018 ◽  
Vol 18 (9) ◽  
pp. 3018 ◽  
Author(s):  
Lei Wang ◽  
Ruizhi Chen ◽  
Lili Shen ◽  
Yanming Feng ◽  
Yuanjin Pan ◽  
...  
Keyword(s):  
Success Rate ◽  
Failure Rate ◽  
Rapid Determination ◽  
Integer Ambiguity ◽  
Threshold Function ◽  
Acceptance Test ◽  
Data Set ◽  
Fixed Failure Rate ◽  
Gnss Data ◽  
Difference Test

In Global navigation satellite system (GNSS) data processing, integer ambiguity acceptance test is considered as a challenging problem. A number of ambiguity acceptance tests have been proposed from different perspective and then unified into the integer aperture estimation (IA) framework. Among all the IA estimators, the optimal integer aperture (OIA) achieves the highest success rate with the fixed failure rate tolerance. However, the OIA is of less practical appealing due to its high computation complexity. On the other hand, the popular discrimination tests employ only two integer candidates, which are the essential reason for their sub-optimality. In this study, a generalized difference test (GDT) is proposed to exploit the benefit of including three or more integer candidates to improve their performance from theoretical perspective. The simulation results indicate that the third best integer candidates contribute to more than 70% success rate improvement for integer bootstrapping success rate higher than 0.8 case. Therefore, the GDT with three integer candidates (GDT3) achieves a good trade-off between the performance and computation burden. The threshold function is also applied for rapid determination of the fixed failure rate (FF)-threshold for GDT3. The performance improvement of GDT3 is validated with real GNSS data set. The numerical results indicate that GDT3 achieves higher empirical success rate while the empirical failure rate remains comparable. In a 20 km baseline test, the success rate GDT3 increase 7% with almost the same empirical failure rate.

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