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Full Waveform Analysis Used to Map Riverbed Roughness

Graphs of Full Waveform Use to Map Riverbed Roughness
Full Waveform Use to Map Riverbed Roughness

Taiwan’s tall mountains, lush forests, and rugged terrain shelter winding streams that emerge from within forests and flow through urban towns to plain development areas. Over hundreds of kilometers, these streams travel through different riverbeds, such as huge rock masses, broken rock blocks, pebbles, coarse and fine sands, and mudflats, eventually entering the ocean. Geological conditions and significant differences in channel particle size also result in differences in flow conditions, such as flow velocity and water level, between river sections. River management units previously chose particular river sections to analyze, measured their elevations, took photographs, mapped their terrain elevation geometries, and recorded their riverbed particle sizes. However, river-by-channel section surveys require substantial human labor resources in the field, and manual identification is still required after the collection of terrain data and photographs. This can introduce uncertainties, such as human error, into the analysis of results. Therefore, effectively providing automatic detection using full waveform analysis of riverbed roughness for an entire river section is an important research topic related to water conservancy and spatial mapping.

From a report in the Taiwan Research Highlight by Jen-Yu Han, et al.

In recent years, researchers have achieved technological advances in the area of remote sensing detection through developing new technologies and equipment. Researchers have applied these new technologies to monitoring surface changes through image shooting and signal transmission from altitudes of up to 100 km. One such technology, light detection and ranging (LiDAR), measures distance as a function of the time interval between transmitted and received signals sent from LiDAR to each point on the ground. In related research, this technology has mostly been applied to detect and use some features in a single full waveform as surface characteristics. Researchers have rarely applied a complete mathematical model to simulate and interpret the physical characteristics of the waveform. Professor Han of the Department of Civil Engineering at National Taiwan University and his team used full-waveform LiDAR combined with echo waveform characteristics (e.g., amplitude, wave width, and backscatter), and proposed using subfootprint templates to determine surface roughness.

The subfootprint template is constructed in the ideal full-wave pulse signal transmission. The waveform signal is sent from the transmitter to the surface of the riverbed within the subfootprint. The process includes scattering, reflection, and reception. The waveform between transmissions is based on a Gaussian distribution. The emission energy follows a one-dimensional Gaussian distribution, and scattering follows a two-dimensional Gaussian distribution. The total instantaneous emission energy and footprint division correspond to the instantaneous emission energy and the split point. Information such as elevation can help researchers reconstruct the transmitted and received waveforms as a function of time. Various subfootprint templates can be simulated and constructed according to the emission’s height, energy, and scattering angle, as well as various riverbed particle sizes. These templates allow researchers to match actual light arrival waveforms to estimate the particle size roughness of the current river channel. The research results revealed that this method can be used to approximate the standard reference waveform template with more than 85% accuracy, and detect particle sizes from 10 cm to 100 cm, as shown in Figure 1. Compared with the river management unit’s previous results, the subfootprint LiDAR technique measured a 3cm difference in unit particle size, confirming the reliability of the full-wavelength optical subfootprint LiDAR technology.

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