Wavelet denoising of TSD deflection slope measurements for improved pavement structural evaluation

Computer-Aided Civil and Infrastructure Engineering

Volumn 29, Issue 6, 2014, Pages 399-415

  Katicha, Samer Wehbe ^a   Flintsch, Gerardo ^a   Bryce, James ^a   Ferne, Brian ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b TRANSPORT RESEARCH LABORATORY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

PAVEMENTS; WAVELET TRANSFORMS;

FALLING WEIGHT DEFLECTOMETER (FWD); HIGH NOISE LEVELS; PAVEMENT DEFLECTION; PAVEMENT STRUCTURAL EVALUATIONS; SLOPE MEASUREMENT; SPATIALLY ADAPTIVE; TRAFFIC DISRUPTION; WAVELET DENOISING;

DEFLECTION (STRUCTURES);

DEFLECTION; MEASUREMENT METHOD; PAVEMENT; SLOPE; STRUCTURAL ANALYSIS; TRANSFORM; WAVELET ANALYSIS;

EID: 84902072617     PISSN: 10939687     EISSN: 14678667     Source Type: Journal    
DOI: 10.1111/mice.12052     Document Type: Article

References (47)

1. Abramovich, F., Bailey, T. & Sapatinas, T. (2000), Wavelet analysis and its statistical applications, The Statistician, 49, 1-29.
2. Abramovich, F. & Benjamini, Y. (1995), Shrinking of wavelet coefficients as multiple hypotheses testing procedure, in A. Antoniadis and G. Oppenheim (eds.), Wavelets and Statistics, Lecture Notes in Statistics Vol. 103, Springer-Verlag, New York, pp. 5-14,
3. Abramovich, F., Sapatinas, T. & Silverman, B. W. (1998), Wavelet shrinking via a Bayesian approach, Journal of the Royal Statistical Society B, 60, 725-49.
4. Adeli, H. & Ghosh-Dastidar, S. (2004), Mesoscopic-wavelet freeway work zone flow and congestion feature extraction model, Journal of Transportation Engineering, ASCE, 130(1), 94-103.
5. Adeli, H. & Jiang, X. (2006), Dynamic fuzzy wavelet neural network model for structural system identification, Journal of Transportation Engineering, 132(1), 102-11.
6. Adeli, H. & Karim, A. (2000), Fuzzy-wavelet RBFNN model for freeway incident detection, Journal of Transportation Engineering, 126(6), 464-71.
7. Antoniadis, A., Bigot, J. & Sapatinas, T. (2001), Wavelet estimators in nonparametric regression: a comparative study, Journal of Statistical Software, 6(6), 1-83.
8. Antoniadis, A., Jansen, M., Johnstone, I. M. & Silverman, W. (2004), EbayesThresh: MATLAB Software for Empirical Bayes Shrinking. Available at: www.ljk.imag.fr/membres/Anestis.Antoniadis/EBayesThresh/, accessed September 2013.
9. Applied Research Associates (ARA). (2008), Rolling Wheel Deflectometer (RWD) Demonstration for the New Hampshire Department of Transportation (NHDOT), Final Report, ARA Project No. 16860. Available at: http://www.fhwa.dot.gov/pavement/management/rwd/nh/, accessed September 2013.
10. Arora, J., Tandon, V. & Nazarian, S. (2006), Continuous Deflection Testing of Texas Pavements, Report No. FHWA/TX-06/0-4380-1, Texas Department of Transportation, Austin, TX.
11. Bianchini, A. (2012), Fuzzy representation of pavement condition for efficient pavement management, Computer-Aided Civil and Infrastructure Engineering, 27(8), 608-19.
12. Bruce, A. G. & Gao, H.-Y. (1996), Understanding WaveShrink: variance and bias estimation, Biometrika, 83, 727-45.
13. Bryce, J., Flintsch, G., Katicha, S. W. & Diefenderfer, B. K. (2013), Developing a Network-Level Structural Capacity Index for Structural Evaluation of Pavements, Final Report VCTIR 13-R6, Virginia Center for Transportation Innovation and Research, Charlottesville, VA.
14. Chipman, H. A., Kolaczyk, E. D. & McCulloch, R. E. (1997), Adaptive Bayesian wavelet shrinkage, Journal of the American Statistical Association, 92, 1413-21.
15. Clyde, M., Parmigiani, G. & Vidakovic, B. (1998), Multiple shrinkage and subset selection in wavelets, Biometrika, 85, 391-401.
16. Coifman, R. & Donoho, D. (1995), Translation-Invariant De-Noising, Lecture Notes in Statistics, Springer Verlag, New York.
17. Craven, P. & Wahba, G. (1979), Smoothing noisy data with spline functions: estimating the correct degree of smoothing by the method of generalized cross-validation, Numerische Mathematik, 31, 377-403.
18. Donoho, D. (1995), De-noising by soft-shrinking, IEEE Transactions on Information Theory, 41(3), 613-27.
19. Donoho, D. & Johnstone, I. (1994), Ideal spatial adaptation by wavelet shrinkage, Biometrika, 81(3), 425-55.
20. Donoho, D. & Johnstone, I. (1995), Adapting to unknown smoothness via wavelet shrinkage, Journal of the American Statistical Association, 90(432), 1200-24, DOI: 10.1080/01621459.1995.10476626.
21. Elseifi, M. A., Abdel-Khaled, A. M., Gaspard, K., Zhang, Z. & Ismail, S. (2012), Evaluation of continuous deflection testing using the rolling wheel deflectometer in Louisiana, Journal of Transportation Engineering, 138(4), 414-22.
22. Ferne, B., Langdale, P., Round, N. & Fairclough, R. (2009), Development of a calibration procedure for the U.K. Highways Agency traffic-speed deflectometer, Transportation Research Record: Journal of the Transportation Research Board, 2093, 111-17.
23. Flintsch, G. W., Ferne, B. W., Diefenderfer, B. K., Katicha, S. W., Bryce, J. & Nell, S. (2012), Evaluation of traffic speed deflectometers, Transportation Research Record: Journal of the Transportation Research Board, 2304, 37-46.
24. Flintsch, G. W., Katicha, S. W., Bryce, J., Ferne, B., Nell, S. & Diefenderfer, B. (2013), Assessment of Continuous Pavement Deflection Measuring Technologies, Second Strategic Highway Research Program (SHRP2) Report S2-R06F-RW-1, The National Academies, Washington DC.
25. Flora, W. (2009), Development of a structural index for pavement management: an exploratory analysis. Master's thesis, Purdue University.
26. Gao, L., Xie, C., Zhang, Z. & Waller, S. T. (2012), Network-level road pavement maintenance and rehabilitation scheduling for optimal performance improvement and budget utilization, Computer-Aided Civil and Infrastructure Engineering, 27(4), 276-87.
27. Ghosh-Dastidar, S. & Adeli, H. (2006), Neural network-wavelet micro-simulation model for delay and queue length estimation at freeway work zones, Journal of Transportation Engineering, ASCE, 132(4), 331-41.
28. Jenkins, M. (2009), Geometric and Absolute Calibration of the English Highways Agency Traffic Speed Deflectometer. Transport Research Laboratory, Crowthorne, UK.
29. Jiang, X. & Adeli, H. (2004), Wavelet packet-autocorrelation function method for traffic flow pattern analysis, Computer-Aided Civil and Infrastructure Engineering, 19(6), 324-37.
30. Jiang, X., Mahadevan, S. & Adeli, H. (2007), Bayesian wavelet packet denoising for structural system identification, Structural Control and Health Monitoring, 14(2), 333-56.
31. Johnstone, I. & Silverman, B. (2004), Boundary coiflets for wavelet shrinkage in function estimation, Journal of Applied Probability, 41, 81-98.
32. Johnstone, I. & Silverman, B. (2005), Empirical Bayes selection of wavelet thresholds, The Annals of Statistics, 33(4), 1700-52, DOI: 10.1214/009053605000000345.
33. Karim, A. & Adeli, H. (2003), Fast automatic incident detection on urban and rural freeways using wavelet energy algorithm, Journal of Transportation Engineering, 129(1), 57-68.
34. Mallat, S. G. (1989), A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(7), 674-93.
35. Marron, J. S., Adak, S., Johnstone, I. M., Neumann, M. H. & Patil, P. (1998), Exact risk analysis of wavelet regression, Journal of Computational and Graphical Statistics, 7(3), 278-309, DOI: 10.1080/10618600.1998.10474777.
36. Nemirovskii, A. (1985), Nonparametric estimation of smooth regression function, Izv. Akad. Nauk. SSR Teckhn. Kibemet, 3, 50-60 (in Russian).
37. Nemirovskii, A., Polyak, B. & Tsybakov, A. (1985), Rate of convergence of nonparametric estimates of maximum-likelihood type, Problems of Information Transmission, 21, 258-72.
38. Rada, G. R. & Nazarian, S. (2011), The State-of-the-Technology of Moving Pavement Deflection Testing, Final Report, FHWA-DTFH61-08-D-00025, U.S. Department of Transportation, Washington DC.
39. Rashid, M. M. & Tsunokawa, T. (2012), Trend curve optimal control model for optimizing pavement maintenance strategies consisting of various treatments, Computer-Aided Civil and Infrastructure Engineering, 27(3), 155-69.
40. Rohde, G. (1994), Determining pavement structural number from FWD testing, Transportation Research Record, (1448), 61-68.
41. Saliminejad, S. & Gharaibeh, N. G. (2012), A Spatial-Bayesian technique for imputing pavement network repair data, Computer-Aided Civil and Infrastructure Engineering, 27(8), 594-607.
42. Samant, A. & Adeli, H. (2000), Feature extraction from traffic incident detection using wavelet transform and linear discriminant analysis, Computer-Aided Civil and Infrastructure Engineering, 15(4), 241-50.
43. Silverman, B. W. (1984), Spline smoothing: the equivalent variable kernel method. Annals of Statistics, 12(3), 898-916.
44. Silverman, B. W. (1999), Wavelets in statistics: beyond the standard assumptions, Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences, 357, 2459-73.
45. Simonin, J-M, Lièvre, D., Rasmussen, S. & Hildebrand, G. (2005), Assessment of the Danish high speed deflectograph in France, International Conference on the Bearing Capacity of Roads, Railways and Airfields. Trondheim.
46. Zhaghloul, S., He, Z., Vitillo, N. & Kerr, B. (1998), Project scoping using the falling weight defelctometer testing: New Jersey experience, Transportation Research Record: Journal of the Transportation Research Board, 1643, 34-43.
47. Zhou, Z. & Adeli, H. (2003), Time-frequency signal analysis of earthquake records using Mexican hat wavelets, Computer-Aided Civil and Infrastructure Engineering, 18(5), 379-89.