基于功率谱分布函数几何学分析的信号带宽估计

Signal bandwidth estimation based on geometric analysis of power spectrum distribution function

针对现有信号带宽估计算法不利于工程实现或估计精度较低的问题,提出了一种基于功率谱分布函数几何学分析的估计方法。首先计算信号的平均功率谱及其分布函数,然后在分布函数图中利用几何学中的三角形思想粗估计信号带宽,最后利用直线斜率逼近的方法对估计结果进行了修正,实现了卫星通信信号带宽的有效估计。仿真结果表明,该方法在信噪比为0dB时,归一化均方根误差小于10-2,且该方法原理简单,易于工程实现。

Aiming at the problem that existing signal bandwidth estimation algorithms are not conducive to engineering implementation or have a low estimation accuracy, a new estimation method based on geometric analysis of power spectrum distribution function is proposed. Firstly, the average power spectrum of the signal and its distribution function are calculated. Then, the geometric triangle thought is used to estimate the bandwidth in the distribution function graph. Finally, the linear gradient approach is used to revise the estimation result, and the bandwidth estimation of the satellite communication is effectively implemented. Simulation results show that the normalized root mean square error is less than 10 -2 when the signal-to-noise ratio is 0 dB, and the method is simple and easy to implement.