Abstract: The issue of time delay estimation of narrowband audio frequency signal was studied, the signal model of time delay estimation was given, the traditional time delay estimation method of generalized correlation and the time delay estimation method based on the Hilbert transformation were studied, and then, a time delay estimation method based on the fractional Hilbert transformation was constructed in this paper. Finally, the mean square error curve of time delay estimation based on different fractional order was given through computer simulation. In the best case, compared with the estimation method of generalized correlation and Hilbert transformation, the simulation results show that the fractional Hilbert transformation method has better performance.

Key words: positioning, time delay estimation, narrowband audio frequency signal, generalized correlation, fractional Hilbert transformation

摘要： 研究定位中的窄带音频信号时差估计问题，给出时差估计的信号模型，在研究传统广义相关时差估计算法及基于希尔伯特变换时差估计算法基础上，提出基于接收信号分数阶希尔伯特变换的时差估计算法。通过仿真实验，得到不同变换阶数下归一化后的时差估计均方误差曲线，在最优时差估计域下，与广义相关法及希尔伯特变换时差估计算法相比，提出的算法具有较好的估计性能。

关键词: 定位, 时差估计, 窄带音频信号, 广义相关, 分数阶希尔伯特变换