基于分形盒维数的跳频信号跳周期快速估计方法

Fast Estimation of Hop Duration of Frequency-Hopping Signals Based on Fractal Box Dimension

针对通信对抗中跳频信号参数估计问题,提出一种基于短时分形盒维数的跳频信号跳周期快速估计方法。首先对信号采样序列分段,计算短时分形盒维数,结合小波变换检测盒维数曲线的奇异点,然后采用谱分析的方法提取奇异点的变化周期,进而估计出跳频周期。仿真实验表明,该算法运算复杂度低、跳频定位精度高,在-10dB就能有效估计出跳频周期,与基于STFT的时频分析方法相比,具有计算量更小的优点。

An algorithm for fast estimation of hop duration based on short-time fractal box dimension is proposed to estimate the parameters of frequency-hopping signals in communication countermeas- ures. First, it splits the sampling sequences into segments and calculates the short-time fractal box dimension of each segment. Then it detects the singularity with Wavelet transform and extracts the duration of the singularity with spectral analysis, thus indicating the hop duration accordingly. Simu- lation experiment shows that this algorithm is low in computation complexity and high in location ac- curacy in time-frequency plan, and the experiment also indicates that this algorithm can estimate the hop duration when SNR is greater than -lOdB, and is superior in complexity to the method based on STFT.