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| Citation: | WANG Xinhai, WANG Chaoyu, ZHANG Ning, et al. Phase-only method for designing a unimodular radar waveform with low ISL[J]. Journal of Radars, 2022, 11(2): 255–263. doi: 10.12000/JR21137
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Phase-only Method for Designing a Unimodular Radar Waveform with Low ISL
doi: 10.12000/JR21137
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Abstract
Radar waveform optimization has recently drawn much attention. The radar waveform possesses not only constant amplitude but also a low autocorrelation sidelobe level. However, because of the presence of the constant modular constraint, the problem of optimizing the waveform is non-convex, which is difficult to address. The feasible domain used by the current methods usually contains the vector space with two dimensions: amplitude and phase. The optimization procedures accompanied by the constant constraint enlarge the difficulty and amount of calculation. Herein, the problem of designing unimodular sequences with low autocorrelation sidelobes is addressed, and a novel approach based on phase optimization is presented. The feasible domain is compressed into the vector space with only the phase dimension. The proposed method conducts a deep analysis of the relationship between the phases of the elements in the unimodular sequence and successively updates the vector with a closed-form solution in an element-by-element manner at each iteration using the coordinate descent method, which comprises low computational complexity. By compressing the feasible domain and updating the vector variable using the closed solution, the integrated sidelobe level and computation efficiency are improved. Representative numerical simulations are provided to verify the effectiveness of the proposed method. -
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References
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- Figure 1. Comparison of the autocorrelations of the periodic waveforms obtained by different methods: ADMM and PCDM
- Figure 2. Comparison of the average autocorrelations of the periodic waveforms obtained by ADMM and PCDM
- Figure 3. The convergence performance of optimizing the period waveform using the different methods: ADMM and PCDM
- Figure 4. Comparison of the autocorrelations of the aperiod waveforms obtained by different methods: ADMM and PCDM
- Figure 5. Comparison of the average autocorrelations of the aperiod waveforms obtained by ADMM and PCDM
- Figure 6. The convergence performance of optimizing the aperiod waveform using the different methods: ADMM and PCDM
- Figure 7. The ambiguity function of the periodic waveform obtained by the different methods: ADMM and PCDM
- Figure 8. The ambiguity function of the aperiodic waveform obtained by the different methods: ADMM and PCDM