Adaptive Reconstruction Algorithm Based on Compressed Sensing Broadband Receiver

Algorithm 1

BOMP algorithm.

Input:measurement matrix

  sampled measurement vector

  sparsity level

Output: the estimated support set

  the nonzero values

Initialization:, , , ;

(1) Compute inner product , find greater than from , and add the index values to index set ;

(2) ,

(3) Solve the least squares solution of and ;

(4) Replace , and and find maximum values from denoted by , number columns denoted by , and number columns denoted by ;

(5) Update residual;

(6) ; if return (1); if or , stop iteration.