On Phase Transition of Compressed Sensing in the Complex Domain

作者：Yang Zai^*; Zhang Cishen; Xie Lihua

来源：IEEE Signal Processing Letters, 2012, 19(1): 47-50.

DOI：10.1109/LSP.2011.2177496

• l(1) minimization
• complex signals
• compressed sensing
• joint sparsity
• ONE-L1 algorithms
• phase transition

The phase transition is a performance measure of the sparsity-undersampling tradeoff in compressed sensing (CS). This letter reports our first observation and evaluation of an empirical phase transition of the l(1) minimization approach to the complex valued CS (CVCS), which is positioned well above the known phase transition of the real valued CS in the phase plane. This result can be considered as an extension of the existing phase transition theory of the block-sparse CS (BSCS) based on the universality argument, since the CVCS problem does not meet the condition required by the phase transition theory of BSCS but its observed phase transition coincides with that of BSCS. Our result is obtained by applying the recently developed ONE-L1 algorithms to the empirical evaluation of the phase transition of CVCS.

• 出版日期2012-1
• 单位南阳理工学院