相位校准信号高效提取方法及误差分析

High Efficient Extraction of Phase Calibration Signals and Error Analysis

  • 摘要: 针对传统相位校准(Phase Calibration,PCAL)信号提取方法计算量随提取频点个数的增加而大幅增长,计算效率低的问题,提出了一种基于DFT的多频点高效提取方法。利用PCAL信号各频点等间隔的频率特性,经过一次DFT运算即可得到所有频点的相位值。随着提取频点个数的增加,计算效率优势显著。根据实际应用需求,在白噪声背景下,从 (PCAL信号单频点功率与噪声功率谱密度之比)、积分时间、PCAL信号频率间隔、量化位数以及同频干扰等方面,对影响PCAL信号相位提取精度的因素进行了理论分析与推导。通过计算机Monte Carlo仿真,验证了理论推导的正确性。

     

    Abstract: The computational complexity of traditional Phase Calibration extraction method based on correlation increased greatly with the increasing of PCAL signals’ number. An efficient PCAL signals extraction method based on DFT was proposed. According to the equal frequency interval characteristics of PCAL signals, all of the phases of PCAL signals can be obtained by one time DFT computation. The efficiency of the new method has obvious superiority with the increasing of PCAL numbers. The root mean square error (RMSE) formula of phase estimation was derived among (single PCAL signal power to noise power spectral destiny ratio), integration time, PCAL frequency interval, quantization bits, and interference with the same frequency, under Gaussian white noise. The RMSE formula is found to be effective by Monte Carlo simulation.

     

/

返回文章
返回