基于Tikhonov正则化的高分辨率群时延测量与计算方法

在衡量传输网络对信号传输时间延迟和信号失真影响时，群时延是非常重要的一项指标.基于差分法计算群时延是目前测量仪器普遍使用的方法，该方法存在着分辨率和精度之间的矛盾，在提高频率分辨率的同时势必引起测量精度的下降.本文在分析差分法误差来源的基础上，基于Tikhonov正则化给出了一种新的群时延计算方法.比较分析得出该方法能够在存在测量误差的情况下，精确得到具有较高频率分辨率的群时延.在实际给出的测量验证中，通过与矢量网络分析仪得到的群时延数据对比，验证了该方法的有效性.

High-Resolution Group Delay Measurement and Calculation Method Based on Tikhonov Regularization

Group delay is a very important indicator when measuring the impact of a transmission network on signal transmission time delay and signal distortion.The calculation of group delay based on the difference method is a commonly used in current measuring instruments,and there is a contradiction between frequency resolution and precision.It will inevitably lead to the decrease of measurement accuracy while improving the frequency resolution.Based on the analysis of the error source of the difference method,this paper presents a novel method of group delay measurement based on the Tikhonov regularization.The comparative analysis shows that the method can obtain the group delay value more precisely with higher frequency resolution when the measurement error is included.In the actual data calculation and verification,the validity of the method verified by comparison to the group delay data obtained by the vector network analyzer.