Compressed Sensing Reconstruction of Radar Echo Signal Based on Fractional Fourier Transform and Improved Fast Iterative Shrinkage-Thresholding Algorithm

Algorithm 1

The improved FISTA for LFM signal.

Input: the compressed sampling signal , the measurement matrix , the DFRFT basis dictionary , the regularization parameter number

Output: reconstructed signal

1.Gradient step ;

2. Shrinkage threshold

3. Select the eigencoefficient, generate the index vector eigencoefficient

4. Protect the vector from shrinkage

5. Iteration step, meet the iteration stop condition, then return the reconstructed signal