Deconvolution technique to separate signal from noise in gravel bedload velocity data

Journal of Hydraulic Engineering

Volumn 133, Issue 8, 2007, Pages 845-856

  Rennie, Colin D ^a   Millar, Robert G ^b  

^a UNIVERSITY OF OTTAWA   (Canada)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Bed load; Gravel; Signals; Velocity

Indexed keywords

ACOUSTIC DOPPLER CURRENT PROFILERS (ADCPS); BEDLOAD TRANSPORT VELOCITY; GRAVEL BEDLOAD; GRAVEL-BED RIVERS;

COMPUTATIONAL METHODS; DECONVOLUTION; HYDRAULICS; OPTIMIZATION; POISSON DISTRIBUTION; PROBABILITY DENSITY FUNCTION; RANDOM VARIABLES; SIGNAL PROCESSING; TIME SERIES ANALYSIS; VELOCITY DISTRIBUTION;

RIVERS;

COMPUTATIONAL METHODS; DECONVOLUTION; HYDRAULICS; OPTIMIZATION; POISSON DISTRIBUTION; PROBABILITY DENSITY FUNCTION; RANDOM VARIABLES; RIVERS; SIGNAL PROCESSING; TIME SERIES ANALYSIS; VELOCITY DISTRIBUTION;

ACOUSTIC DOPPLER CURRENT PROFILER; BEDLOAD; DECONVOLUTION; ESTIMATION METHOD; GRAVEL; NOISE; PROBABILITY DENSITY FUNCTION; SEDIMENT TRANSPORT; VELOCITY;

EID: 34547110415     PISSN: 07339429     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2007)133:8(845)     Document Type: Article

References (51)

1. Busskamp, R. (1994). "The influence of channel steps on coarse bed load transport in mountain torrents: Case study using the radio tracker technique 'PETSY.'" Dynamics and geomorphology of mountain rivers, P. Ergenzinger and K.-H. Schmidt, eds., Springer, Berlin.
2. Chacho, Jr., E. F., Burrows, R. L., and Emmett, W. W. (1989). "Detection of coarse sediment movement using radio transmitters." International Association for Hydraulic Research, XXIII Congress, Proc., Technical Session B: Fluvial Hydraulics, Ottawa, Canada.
3. Chacho, Jr., E. F., Emmett, W. W., and Burrows, R. L. (1994). "Monitoring gravel movement using radio transmitters." J. Hydraul. Eng.JHEND80733-942910.1061/(ASCE)0733-9429(1994)120:6(785), 120, 785-789.
4. Cordy, C. B., and Thomas, D. R. (1997). "Deconvolution of a distribution function." J. Am. Stat. Assoc. JSTNAL0162-145910.2307/ 2965416, 92(440), 1459-1465.
5. Drake, T. G., Shreve, R. L., Dietrich, W. E., Whiting, P. J., and Leopold, L. B. (1988). "Bedload transport of fine gravel observed by motion-picture photography." J. Fluid Mech. JFLSA70022-112010.1017/S0022112088001831, 192, 193-217.
6. Einstein, H. A. (1937). "Bed load transport as a probability problem," DSc thesis, Federal Institute of Technology, Zurich, Switzerland.
7. Environment Canada. (1996). HYDAT version 96-1.05.8: Surface water and sediment data. E. C. Atmospheric Environment Service.
8. Ergenzinger, P., and Schmidt, K.-H. (1995). "Single particle bed load transport: First results from new approaches." Z. Geomorph. N.F., Suppl.-Bd., 100, 193-203.
9. Ergenzinger, P., Schmidt, K.-H., and Busskamp, R. (1989). "The Pebble Transmitter System (PETS): First results of a technique for studying coarse material erosion, transport and deposition." Zeitschrift Geomorph. N.F., 33(4), 503-508.
10. Ferguson, R. I., and Wathen, S. J. (1998). "Tracer-pebble movement along a concave river profile: Virtual velocity in relation to grain size and shear stress." Water Resour. Res. WRERAQ0043-139710.1029/ 98WR01283, 34(8), 2031-2038.
11. Gaeuman, D., and Jacobson, R. B. (2006). "Acoustic bed velocity and bed load dynamics in a large sand bed river." J. Geophys. Res., [Earth Surface] 10.1029/2005JF000411, 111, F02005.
12. Gibbs, C. V. (1973). "Model study of basket-type bed-load sampler." MSc thesis, Univ. of Alberta, Edmonton, Alta., Canada.
13. Gintz, D., Hassan, M. A., and Schmidt, K.-H. (1996). "Frequency and magnitude of bedload transport in a mountain river." Earth Surf. Processes Landforms ESPLDB0197-933710.1002/ (SICI)1096-9837(199605)21:5<433::AID-ESP580>3.0.CO;2-P 21, 433-445
14. Gordon, R. L. (1996). Acoustic Doppler current profiler principles of operation: A practical primer, RD Instruments, San Diego.
15. Habersack, H. M. (2001). "Radio-tracking gravel particles in a large braided river in New Zealand: A field test of the stochastic theory of bed load transport proposed by Einstein." Hydrolog. Process.HYPRE30885-608710.1002/hyp.147, 15, 377-391.
16. Harris, B. (1966). Theory of probability, Addison-Wesley, Reading, Mass.
17. Haschenburger, J. K., and Church, M. (1998). "Bed material transport estimated from the virtual velocity of sediment." Earth Surf. Processes LandformsESPLDB0197-933710.1002/ (SICI)1096-9837(199809)23:9<791::AID-ESP888>3.0.CO;2-X, 23, 791-808.
18. Hassan, M. A., Church, M., and Ashworth, P. J. (1992). "Virtual rate and mean distance of travel of individual clasts in gravel-bed channels." Earth Surf. Processes LandformsESPLDB0197-933710.1002/ esp.3290170607, 17, 617-627.
19. Hassan, M. A., Church, M., and Schick, A. P. (1991). "Distance of movement of coarse particles in gravel bed streams." Water Resour. Res.WRERAQ0043-139710.1029/90WR02762, 27(4), 503-511.
20. Houck, C., Joines, J., and Kay, M. (1995). "A genetic algorithm for function optimization: A Matlab application." Technical Report 95-09, North Carolina State Univ., Dept. of Industrial Engineering, College of Engineering, Raleigh, N.C.
21. Hu, C., and Hui, Y. (1996a). "Bed-load transport. I: Mechanical characteristics." J. Hydraul. Eng. JHEND80733-942910.1061/ (ASCE)0733-9429(1996)122:5(245), 122(5), 245-254.
22. Hu, C., and Hui, Y. (1996b). "Bed-load transport. II: Stochastic characteristics." J. Hydraul. Eng. JHEND80733-942910.1061/ (ASCE)0733-9429(1996)122:5(255), 122(5), 255-261.
23. Hubbell, D. W., and Sayre, W. W. (1964). "Sand transport studies with radioactive tracers." J. Hydr. Div. JYCEAJ0044-796X, 90(HY3), 39-68.
24. Jorgensen, B. (1997). The theory of dispersion models, Chapman & Hall, London.
25. Keshavarzy, A., and Ball, J. E. (1999). "An application of image processing in the study of sediment motion." J. Hydraul. Res. JHYRAF0022-1686, 37(4), 559-576.
26. Kuhnle, R. A., and Southard, J. B. (1988). "Bed load transport fluctuations in a gravel bed laboratory channel." Water Resour. Res. WRERAQ0043-1397, 24(2), 247-260.
27. Larsen, R. J., and Marx, M. L. (1986). An introduction to mathematical statistics and its applications, Prentice-Hall, Englewood Cliffs, N.J.
28. Lee, H.-Y., Chen, Y.-H., You, J.-Y., and Lin, Y.-T. (2000). "Investigations of continuous bed load saltating process." J. Hydraul. Res. JHYRAF0022-168610.1061/(ASCE)0733-9429(2000)126:9(691), 126(9), 691-700.
29. Lee, H.-Y., and Hsu, I.-S. (1994). "Investigation of saltating particle motions." J. Hydraul. Res. JHYRAF0022-1686, 120(7), 831-845.
30. Lemmin, U., and Lhermitte, R. (1999). "Discussion of 'ADV measurements of turbulence: Can we improve their interpretation?' by V. I. Nikora and D. G. Goring." J. Hydraul. Res. JHYRAF0022-168610.1061/(ASCE)0733-9429(1999)125:9(987), 125, 987-988.
31. McLean, D. G., Church, M., and Tassone, B. (1999). "Sediment transport along lower Fraser River: I. Measurements and hydraulic computations." Water Resour. Res. WRERAQ0043-139710.1029/ 1999WR900101, 35(8), 2533-2548.
32. McLean, D. G., and Tassone, B. (1987). "Discussion of 'Bed load sampling and analysis' D. Hubbell." Sediment transport in gravel-bed rivers, by C. R. Thorne, J. C. Bathurst, and R. D. Hey, eds., Wiley, New York, 109-113.
33. Millar, K. S., and Rochwarger, M. M. (1972). "A covariance approachto spectral moment estimation." IEEE Trans. Inf. Theory IETTAW0018-944810.1109/TIT.1972.1054886, IT-18(5), 588-596.
34. Nino, Y., Garcia, M., and Ayala, L. (1994). "Gravel saltation I. Experiments." Water Resour. Res. WRERAQ0043-139710.1029/94WR00533, 30(6), 1907-1914. 1907-1914.
35. Pinkel, R. (1980). "Acoustic Doppler techniques." Air-sea interaction instruments and methods, F. Dobson, L. Hasse, and R. Davis, eds., Plenum Press, New York, 171-199.
36. Rennie, C. D. (2002). "Noninvasive measurement of fluvial bedload transport velocity using an acoustic Doppler current profiler." Ph.D. thesis, Univ. of British Columbia, Vancouver, B.C. Canada.
37. Rennie, C. D., and Millar, R. G. (2004). "Measurement of the spatial distribution of fluvial bedload transport velocity in both sand and gravel." Earth Surf. Processes Landforms ESPLDB0197-933710.1002/ esp.1074, 29(10), 1173-1193.
38. Rennie, C. D., Millar, R. G., and Church, M. A. (2002). "Measurement of bed load velocity using an acoustic Doppler current profiler." J. Hydraul. Eng. JHEND80733-942910.1061/ (ASCE)0733-9429(2002)128:5(473), 128(5), 473-483.
39. Rennie, C. D., and Rainville, F. (2006). "Case study of precision of GPS differential correction strategies: Influence on aDcp velocity and discharge estimates." J. Hydraul. Eng. JHEND80733-942910.1061/ (ASCE)0733-9429(2006)132:3(225), 132(3), 225-234.
40. Rennie, C. D., and Villard, P. V. (2004). "Site specificity of bed load measurement using an acoustic Doppler current profiler." J. Geophys. Res., [Earth Surface]10.1029/2003JF00106, 109, F03003.
41. Schmidt, K.-H., and Ergenzinger, P. (1992). "Bedload entrainment, travel lengths, step lengths, rest periods-Studied with passive (iron, magnetic) and active (radio) tracer techniques." Earth Surf. Processes Landforms ESPLDB0197-933710.1002/esp.3290170204, 17, 147-165.
42. SonTek. (1998). SonTek ADP acoustic Doppler profiler technical documentation, San Diego.
43. Stelczer, K. (1981). Bed-load transport theory and practice, Water Resources Publications, Littleton, Colo.
44. Theriault, K. B. (1986a). "Incoherent multibeam Doppler current profiler performance: I. Estimate variance." IEEE J. Ocean. Eng. IJOEDY0364-905910.1109/JOE.1986.1145146, OE-11(1), 7-15.
45. Theriault, K. B. (1986b). "Incoherent multibeam Doppler current profiler performance. II: Spatial response." IEEE J. Ocean. Eng. IJOEDY0364-905910.1109/JOE.1986.1145135, OE-11(1), 16-25.
46. Van Es, A. J., and Kok, A. R. (1998). "Simple kernel estimators for certain nonparametric deconvolution problems." Stat. Probab. Lett. SPLTDC0167-715210.1016/S0167-7152(98)00054-6, 39, 151-160.
47. Villard, P., Church, M., and Kostaschuk, R. (2004). "Estimating bed load in sand-bed channels using bottom tracking from an acoustic Doppler profiler." Fluvial Sedimentology VII, IAS Spec. Publ. 35, Blackwell, Malden, Mass.
48. Wand, M. P. (1998). "Finite sample performance of deconvolving density estimators." Stat. Probab. Lett.SPLTDC0167-715210.1016/ S0167-7152(97)00110-7, 37, 131-139.
49. Wilcock, P. R., and McArdell, B. W. (1997). "Partial transport of a sand/gravel sediment." Water Resour. Res. WRERAQ0043-139710.1029/ 96WR02672, 33(1), 235-245.
50. Yang, C. T., and Sayre, W. W. (1971). "Stochastic model for sand dispersion." J. Hydr. Div. JYCEAJ0044-796X, 97, 265-288.
51. Zar, J. H. (1996). Biostatistical analysis, 3rd Ed., Prentice-Hall, Englewood Cliffs, N.J.