Technical Program

Paper Detail

Paper:SAM-P7.5
Session:Applications of Multichannel Signal Processing
Time:Thursday, May 20, 13:00 - 15:00
Presentation: Poster
Topic: Sensor Array and Multichannel Signal Processing: Inverse methods
Title: DIVERSITY MEASURE MINIMIZATION BASED METHOD FOR COMPUTING SPARSE SOLUTIONS TO LINEAR INVERSE PROBLEMS WITH MULTIPLE MEASUREMENT VECTORS
Authors: Bhaskar Rao; University of California, San Diego 
 Kjersti Engan; Stavanger University College 
 Shane Cotter; University of California, San Diego 
Abstract: We address the problem of finding sparse solutions to linear inverse problems when there are Multiple Measurement Vectors (MMV) and the solutions are assumed to have a common, but unknown, sparsity profile. This is an important extension to the single measurement sparse solution problem that has been extensively studied in the past. Of particular interest are methods based on minimizing diversity measures. A measure appropriate for the multiple measurement problem is developed, and an algorithm is derived based on its minimization. The algorithm developed, M-FOCUSS, generalizes the FOcal Underdetermined System Solver (FOCUSS) algorithm developed for the single measurement case. The convergence of the algorithm is established and a simulation study is conducted to evaluate its effectiveness. The results clearly show the ability of M-FOCUSS to utilize multiple measurement vectors to accurately identify the sparsity structure and compute sparse solutions.
 
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