基于粗大误差灰色判别的泰勒级数展开振源定位搜索算法

Taylor Series Expansion Search Vibratory Source Localization Algorithm Based on the Gross Error Gray Discriminant

为了提高搜索定位算法的性能提出一种基于粗大时延误差灰色判别和泰勒级数展开的定位搜索算法。算法提出了根据灰色绝对关联度和信号的信噪比确定各个传感器的信度，从多个传感器中选择3个信度高的传感器进行定位，估计出振源坐标的初值，据此计算出各传感器的时延差，并和测量时延差作差值，得到多传感器的时延误差序列，再利用粗大误差灰色判别规则，判断并剔除粗大时延误差，最后，利用泰勒级数展开迭代搜索法确定振源位置。该算法能有效地提高搜索速度和定位精度，增强抗干扰能力。

In order to improve search performance of the localization algorithm, It put for- ward the positioning searching algorithm based on gross time delay error grey discrimina- tion and Taylor＇ s series expansion localization algorithm. Firstly the credible degree of each sensor is determined according to the SNR （signal-noise-ratio） of signals and gray ab- solute correlation degree. Then three sensors with high credible degree are chosen to locate the position and estimate the initial value of the source coordinates. Time delay error is cal- culated for each sensor and its difference with the measurement time delay is evaluated. The gross time delay error gray discriminate rule is used to eliminate the gross time delay error. Finally the Taylor＇ s series iteration searching method is used to determine the source location. Experimental results show that this method can effectively improve the search speed positioning precision and the anti-interference ability of the vibration source is promoted.