步进频信号的检测与估计方法研究

步进频信号的检测与估计方法研究(论文11000字)
摘要：步进频率信号又称为跳频信号，步进频率信号通信具有非常多的优越性。由于步进频率信号具有较强的抗干扰能力，较高的距离分辨率以及较强的抗衰落能力而被广泛研究，因此不管在军事还是民用上都有应用。
 在实际研究中，所获得的信号一般相较于噪声较弱，要在低信噪比环境下提取出信号中的信息，就要对信号进行检测与估计，判断信号中是否有步进频率信号，在检测出步进频信号后再对其进行估计。本文在检测阶段使用了多跳自相关思想来检测步进频率信号，而在估计阶段使用了短时分数阶傅里叶变换和Rife算法的改进来对信号的频率和相位进行估计，改进了分数阶傅里叶变换和Rife算法，使估计结果的误差更小。仿真实验证明了改进后的算法的有效性和准确性。
关键词：步进频信号；信号的检测与估计；Rife算法

Research on Detection and Estimation Method of Stepped Frequency Signal
Abstract: Stepping frequency signal, also known as frequency hopping signal, has many advantages in stepping frequency signal communication. Because the step frequency signal has strong anti-interference ability, high range resolution and strong anti-fading ability, it has been widely studied, so it has applications in military or civilian applications.
  In the actual research, the obtained signal is generally weaker than the noise. In order to extract the information in the signal under low SNR environment, it is necessary to detect and estimate the signal and judge whether there is a step frequency signal in the signal. After the step frequency signal is detected, it is estimated. In this paper, the idea of multi - hop autocorrelation is used to detect step frequency signal in the detection stage, and the short-time fractional Fourier transform and the Rife algorithm are used in the estimation stage to estimate the frequency and phase of the signal, and the score is improved. The order Fourier transform and the Rife algorithm make the error of the estimation result smaller. Simulation experiments demonstrate the effectiveness and accuracy of the improved algorithm.
Key words:Step frequency signal; signal detection and estimation; STFRFT; Rife algorithm
 

目 录
一、绪论    1
1.1研究的背景和意义    1
1.2当前研究现状    1
1.3研究任务和主要内容    2
二、步进频率信号的数学模型与产生    2
2.1步进频率信号数学模型    2
2.2步进频率信号的产生    3
三、信号检测与估计的基本理论    4
3.1信号检测的基本理论    4
3.2确知信号的检测    6
3.3信号参量的估计    7
3.3.1估计量的计算    7
3.3.2 振幅估计    8
3.3.3 相位估计    8
3.3.4 频率估计    9
四、步进频信号检测与估计的基本方法和原理    10
4.1步进频信号的检测    10
4.2步进频信号频率的估计    12
4.2.1希尔伯特变换法    13
4.2.2短时分数阶傅里叶变换    14
4.2.3Rife算法    15
五、仿真与实验结果分析    18
5.1信号的检测的实验结果分析    18
5.2步进频信号频率的估计    19
5.2.1Rife算法估计    19
5.2.2短时分数阶傅里叶变换估计    21
六、 总结与展望    24
参考文献    25
致谢    26