A Novel Waveform Design Method for Shift-Frequency Jamming Confirmation

Algorithm 2

Sparse Doppler-sensitive waveform design algorithm with a constant modulus constraint.

Requirements: sequence length , weight coefficient

1. Initialize: is a randomly generated unimodular sequence; configure and X.

2. Repeat.

3. For a fixed , compute the first complex values of according to and .

4. For a fixed , the minimizer is given by , where matrices and are taken from the economic SVD of , which is .

5. For a fixed , .

6. For a fixed , the criterion can be written as

where const is a constant that does not depend on ; are given by the elements of that contain

are the elements of , whose positions are identical to those of in . The minimizer is

7. Summarize the results in step 5 and step 6; the minimizer is given by

8. Continue until convergence.