Title :
Blind deconvolution via independent component analysis for thin-pavement thickness estimation using GPR
Author :
Chahine, Khaled ; Baltazart, Vincent ; Dérobert, Xavier ; Wang, Yide
Author_Institution :
Lab. Central des Ponts et Chaussees, Bouguenais, France
Abstract :
Blind deconvolution of sparse spikes is a well-known problem in the fields of seismic exploration and ultrasonic nondestructive testing. In measuring thin layer thickness of asphalt pavements using GPR, a similar problem arises; the sparse reflectivity series representing the layered structure of the pavement convolved with the radar wavelet results in masking closely spaced reflections. A successful deconvolution retrieves the reflectivity series and thus improves the time resolution and facilitates quantitative data interpretation. In this paper, we cast the convolutional model as a multidimensional data model which renders blind deconvolution via independent component analysis (ICA) possible. We use a nonlinearity related to the double exponential density whose heavy-tailed nature provides further insight into the sparse nature of the reflectivity series. The method is tested on synthetic and real GPR data from a thin PVC slab. The results attest to the accuracy of the time delay estimates and verify the high resolution of the proposed approach.
Keywords :
deconvolution; ground penetrating radar; independent component analysis; nondestructive testing; radar signal processing; GPR; PVC slab; blind deconvolution; ground penetrating radar; independent component analysis; radar wavelet; seismic exploration; sparse reflectivity series; sparse spikes; thin-pavement thickness estimation; ultrasonic nondestructive testing; Asphalt; Deconvolution; Ground penetrating radar; Independent component analysis; Nondestructive testing; Radar measurements; Reflectivity; Seismic measurements; Thickness measurement; Ultrasonic variables measurement; nondestructive testing; reflectivity series; sparsity; time delay estimation; time resolution;
Conference_Titel :
Radar Conference - Surveillance for a Safer World, 2009. RADAR. International
Conference_Location :
Bordeaux
Print_ISBN :
978-2-912328-55-7