Block-length dependent thresholds for ℓ

摘要

-optimization algorithm appears to be very successful in solving it. The recent work of [3, 6] rigorously proved (in a large dimensional and statistical context) that if the number of equations (measurements in the compressed sensing terminology) in the system is proportional to the length of the unknown vector then there is a sparsity (number of non-zero elements of the unknown vector) also proportional to the length of the unknown vector such that ℓ