Figure 4.
For a wide range of parameters the HDA solution, uHDA, is on par with that of the LBI, uLBI. The relative mean square difference between uHDA and the predefined sparse signal u0 (a) and the relative mean square difference between uLBI and u0 (b) demonstrate both HDA and LBI both find the unique solution to the basis pursuit problem (1) when it exists (upper left corner). Indeed, the solutions uHDA and uLBI are essentially identical (c) and have the same l1-norms ‖uHDA‖1 and ‖uLBI‖1 (d).