Accession Number:

ADA459602

Title:

A Multiscale Approach to Solving One Dimensional Inverse Problems

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE

Personal Author(s):

• Miller, Eric
• Willsky, Alan

Report Date:

1992-01-01

Pagination or Media Count:

5.0

Abstract:

In this paper we explore a multiresolution approach to solving one dimensional inverse problems. The approach we take is motivated by the work of Chon, Golden, and Willsky and Beylkin, Coifman, and Rokhlin. Specifically, we consider inverse problems described by that class of operators which are made sparse under the action of the wavelet transform. Moreover, statistically-based inversion procedures utilizing multiscale a priori stochastic models are considered. As a concrete example, we examine a deconvolution problem arising in wellbore induction measurement of conductivity.

Descriptors:

• *ONE DIMENSIONAL
• *SENSOR FUSION
• *INVERSE PROBLEMS
• MATHEMATICAL MODELS
• LINEAR SYSTEMS
• INDUCTION SYSTEMS
• WAVELET TRANSFORMS
• STOCHASTIC PROCESSES
• CONDUCTIVITY

Subject Categories:

• Theoretical Mathematics
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE