Research Article

Amplitude-Based Smoothed Sparse Phase Retrieval Algorithm

Algorithm 1

The proposed SPSAF algorithm.
1. Input: Data and sparsity ; learning rate ; the maximum number of iterations ; subset cardinality ; adaptive smoothing factor smoothing vector , and is a constant;
2. Construct the support index set , which includes the index corresponding to the largest in
       
3. Calculate the sparse initial estimate
        
where the weighting factor ;
4. Initialize
        
  where is obtained by zero-filling ;
5. fortodo
       
  where is the hard threshold operator, and the gradient
    
6. end for
7. Output: .