多循环频率循环时延估计方法及性能分析

Multi-Cycle Time-Delay Estimator and Its Performance Analysis

由于单循环频率循环估计子估计性能对循环频率的选择有较大的依赖性 ,使其在实际应用中受到了较大的限制 .为解决该问题 ,文章研究并给出了多循环频率循环时延估计方法 ,还详细推导得到了多循环频率估计子组的估计均方误差 .在平稳高斯白噪声和慢变化时变高斯白噪声条件下对BPSK和QPSK信号的仿真结果表明 ,较高信噪比时 (SNR >- 6dB)循环估计子组的估计理论精度与仿真精度基本上是一致的 ,并且三循环频率循环估计子组估计性能要优于双循环频率循环估计子组 ,而双循环频率循环估计子组的估计性能要优于单循环频率循环估计子 .仿真结果充分说明了文章理论分析的正确性 ,也说明了多循环频率循环时延估计方法的有效性及估计算子的稳健性 .

Single-cycle time-delay estimator suffers from the dependence on the selection of different cycle frequencies, which restricts its practical usage. To solve the problem, multi-cycle time-delay estimation method is discussed. And the estimation accuracy for multi-cycle estimator is also given. Simulation results based on BPSK and QPSK signals with stationary noise and slowly time-variant noise show that estimation theoretical accuracy is just the same as the simulation one with high SNR (>-6 dB), and double-cycle estimator performs worse than tri-cycle estimator, but better than single-cycle estimator, which indicates the efficiency and robustness of the given method as well as the exactness of the accuracy analysis.