Sufficient conditions for recovering block sparse noisy signals
Compressed sensing uses the compressibility of signals to entirely recover signals by sampling techniques and nonlinear algorithms,hence regarded as an effective signal acquisition technology.Based on the theory of compressed sensing,taking the l∞ bounded noise as the example,we study the RIP properties in recovering block sparse signals and the strongly-decaying block sparse signals by the BOMP algorithm,and we provide necessary sufficient conditions to ensure recovering the signals.Finally,we analyze and compare the factors which affect the performance of sparse signals by means of numerical experiments
BOMP algorithml∞ bounded noiseblock sparse signalstrongly-decaying block sparse signal
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