National Natural Science Foundation of China under Grant Nos. 11501440, 61273020
The mixed l2/lp(0 2/lpminimisation from reduced number of measurements by applying the partially known support. The authors also derive a lower bound on necessary random Gaussian measurements for the p-RIP conditions to hold with high possibility. Finally, a series of numerical experiments are carried out to illustrate that fewer measurements with smaller p are needed to reconstruct the signal.