加权分数傅里叶变换信号参数估计方法

Weighted Fractional Fourier Transform Signal Parameter Estimation Method

摘要:

加权分数傅里叶变换(WFRFT)信号具有抗截获和抗调制识别等优点,在未来混合载波通信领域得到了广泛的应用；目前的研究大多集中在混合载波的应用及特性分析上,而在WFRFT参数估计方面研究较少；为了解决非协作通信场景中参数未知的问题,提出了一种基于Shintaro_K特征量的WFRFT参数估计理论；首先通过理论推导得到,最小化接收信号的Shintaro_K值可以准确估计出参数,然后对抛物线搜索算法进行改进,来搜索Shintaro_K特征量的最小值点；仿真结果表明,该WFRFT参数估计理论有效可靠,且与已有的研究方法相比,该方法具有相似的参数估计准确度,但具有更少的搜索次数和计算复杂度。

Abstract:

Weighted Fractional Fourier transform (WFRFT) signal is widely used in hybrid carrier communication for its anti-interception and anti-modulation recognition.At present, most of the research focuses on the application and characteristic analysis of hybrid carrier, but less on the parameter estimation of WFRFT. In order to solve the problem of unknown parameters in non-cooperative communication scenarios, a theory of WFRFT parameter estimation based on Shintaro eigenvalue is proposed. Firstly, by theoretical derivation, the parameters can be estimated accurately by minimizing the Shintaro value of the received signal, and then the parabola search algorithm is improved to search the minimum value of Shintaro eigenvalue.The simulation results show that the WFRFT parameter estimation theory is effective and reliable, and the method has similar parameter estimation accuracy compared with the existing methods, but with less search times and computational complexity.