用于HRRP超分辨处理的RELAX算法性能分析

Performance analysis of RELAX algorithm for HRRP super resolution processing

针对现有文献中未出现关于RELAX算法超分辨性能的定量讨论或关于RELAX应用的边界条件分析,导致RELAX算法的实际应用十分困难这一问题,在详细分析RELAX算法的超分辨原理的基础上,通过仿真给出了一些关于RELAX实际应用的边界条件及结论,可用于指导RELAX算法在实际散射中心估计中的应用:RELAX超分辨处理对估计散射点个数不敏感;当FFT点数约为要达到真实分辨力所需FFT点数的2倍时,RELAX超分辨处理的重构精确度可满足要求;在保证一定的重构精确度的前提下,RELAX超分辨处理的分辨力最高可以达到实际分辨力的2倍。本文仿真条件下,当R SN=10 dB时,RELAX超分辨处理在一定误差容忍范围内基本可用。

The existing literature does not include quantitative discussion of the super resolution performance of RELAX algorithm or the content of the boundary conditions analysis of RELAX application, resulting in the practical application of RELAX algorithm is very difficult. Based on the detailed analysis of the super resolution principle of RELAX algorithm, a number of boundary conditions about the practical application of RELAX are given through simulation, and four practical conclusions are drawn that can guide the RELAX algorithm in the application of actual scattering center estimation: a) RELAX super resolution processing is not sensitive to the number of estimated scattering centers;b) when the number of FFT points is about twice that required to achieve the true resolution, the reconstruction accuracy of RELAX super resolution processing can meet the requirement;c) when ensure a certain degree of reconstruction accuracy, the maximum resolution of RELAX super resolution processing can raise up to twice the actual resolution;d) under the simulation conditions in this paper, when R SN=10 dB, RELAX super resolution processing is basically available within a certain error tolerance range.