A Hybrid Orthogonal Forward-Backward Pursuit Algorithm for Partial Fourier Multiple Measurement Vectors Problem

Algorithm 2

SSP.

Input: The measurement matrix , the

measurement vectors where , the

sparsity .

Initialization: Let the residual vectors

where and the support set .

Iteration:

(1) Let the temporary support set

.

(2) Let

(3) The residual vector is updated as

where .

(4) If , let ,

where and go back to step

(1); otherwise, we terminate the iteration and let the

final support set .

Output: Compute the estimated signals by (5).