Diagonal loading least squares time delay estimation

• 作者: LI Xuan MA Xiaochuan YAN Shefeng
• 来源期刊: 声学学报：英文版
• 学科: 地球科学
• 关键词: 对角加载 最小二乘 时延估计 时间延迟估计 低信噪比 矩阵反演 正定矩阵 水池实验
• 年，卷（期）: 2012,（2）
• 页码范围: 165-177
• 页数: 13页
• 分类号: TN952|P207
• 语种: 英文

摘要

Least squares （LS） time delay estimation is a classical and effective method. However, the performance is degraded severely in the scenario of low ratio of signal-noise （SNR） due to the instability of matrix inversing. In order to solve the problem, diagonal loading least squares （DL-LS） is proposed by adding a positive definite matrix to the inverse matrix. Furthermore, the shortcoming of fixed diagonal loading is analyzed from the point of regularization that when the tolerance of low SNR is increased, veracity is decreased. This problem is resolved by reloading. The primary estimation＇s reciprocal is introduced as diagonal loading and it leads to small diagonal loading at the time of arrival and larger loading at other time. Simulation and pool experiment prove the algorithm has better performance.