采用线性正则域模糊函数的QFM信号参数估计算法输出信噪比分析  

The output SNR analysis of Parameter Estimation Algorithm for QFM Signals using Ambiguity function based on the Linear Canonical Transform

作　　者：宋玉娥[1,2] 卜红霞[3] 杨洪涛[2] 王晓燕[4] 

机构地区：[1]北京理工大学信息与电子学院,北京100081 [2]北京工业职业技术学院信息工程系,北京100042 [3]河北师范大学物理科学与信息工程学院,石家庄050016 [4]装甲兵工程学院基础部,北京100072

出　　处：《信号处理》2013年第8期1071-1076,共6页Journal of Signal Processing

基　　金：国家自然科学基金(No.11201482);北京工业职业技术学院科研项目(No.bgzyky201344)

摘　　要：采用线性正则域模糊函数的二次调频(quadratic frequency modulated,QFM)信号参数估计算法简单易解,估计精度较高,误差传递小,在实际应用中有较好的前景。本文对输出信噪比进行了较为深入而详细的分析,推导了输出信噪比与输入信噪比及信号采样点数之间的关系表达式;通过仿真实验比较了在同等条件下和积分广义模糊函数算法(integrated generalized ambiguity function,IGAF)以及多项式相位变换(polynomial-phase trans-form,PPT)算法的输出信噪比大小,以及达到相同大小输出信噪比所需采样点数。发现该算法的输出信噪比要大于IGAF算法和PPT算法,且达到相同大小的输出信噪比所需采样点数分别是IGAF算法和PPT算法的1/4和1/9,即得到相同大小的输出信噪比时该算法所需的采样点数更少。The parameter estimation algorithm for QFM signals using ambiguity function based on the linear canonical transform （LCTAF） is simple and has high estimation precision. Its error transfer is also small and has a good application prospect in the project. In this paper, the output signal-to-noise ratio （SNR） of this algorithm is analyzed deeply and de-rived the relationship between the output SNR and the number of sampling points and input SNR. By simulation experi- ments we compare the output SNR of LCTAF algorithm, with that of integrated generalized ambiguity function （IGAF） algo- rithm and polynomial-phase transform （PPT） algorithm under the same condition. And the required numbers of sampling points when the three algorithms achieve the same output SNR are also presented. We find out that the output SNR of our proposed algorithm is bigger than that of IGAF algorithm and PPT algorithm under the same simulation conditions. When a-chieving the same output SNR, the number of sampling points of LCTAF needed are 1/4 and 1/9 of the IGAF algorithm and the PPT algorithm needed, respectively. That is, the LCTAF algorithm needs fewer sampling points than IGAF algorithm and PPT algorithm.

关 键 词：模糊函数 线性正则变换 二次调频信号 输入信噪比 输出信噪比 采样点数 

分 类 号：TN911.7[电子电信—通信与信息系统]