Compressed Sensing with coherent tight frames via l_q-minimization for 0

2011/05/17 by Li, Song, Lin, Junhong
#15B52 #42C15 #68P30 #94A08 #94A15 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Numerical Analysis (math.NA) #Primary 94A12 #Secondary 41A63

paper · doi:10.48550/arxiv.1105.3299

Abstract

Our aim of this article is to reconstruct a signal from undersampled data in the situation that the signal is sparse in terms of a tight frame. We present a condition, which is independent of the coherence of the tight frame, to guarantee accurate recovery of signals which are sparse in the tight frame, from undersampled data with minimal l₁-norm of transform coefficients. This improves the result in [1]. Also, the l_q-minimization (0

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