Title :
A multiscale approach to solving one dimensional inverse problems
Author :
Miller, Ellis ; Willsky, Alan
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
Abstract :
A multiresolution approach to solving one dimensional inverse problems is explored. Inverse problems described by that class of operators which are made sparse under the action of the wavelet transform are considered. Statistically based inversion procedures utilizing multiscale a priori stochastic models are also considered. As a concrete example, a deconvolution problem arising in wellbore induction measurement of conductivity is examined
Keywords :
inverse problems; statistics; stochastic processes; terrestrial electricity; wavelet transforms; 1D; conductivity; deconvolution problem; electric fields; multiscale approach; one dimensional inverse problems; statistics; stochastic models; wavelet transform; wellbore induction measurement; Conductivity measurement; Fractals; Geologic measurements; Inverse problems; Magnetic field measurement; Spatial resolution; Stochastic processes; Telephony; Transmitters; Wavelet transforms;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274219
