A new method for unbiased time-delay estimation in noisy environments

作者：Wen Jing; Li Ping; Wen Yumei^*

来源：International Journal of Adaptive Control and Signal Processing, 2007, 21(7): 623-634.

DOI：10.1002/acs.951

• time-delay estimation
• adaptive filter
• adaptive algorithm
• unbiased estimate

When input data are contaminated with noise, the least mean square time-delay estimation (LMSTDE) actually gives a biased estimate. In this paper, we propose and analyse a new adaptive filter structure for time-delay estimation (TDE), which can eliminate this bias. A new adaptive criterion is then constructed. We determine the corresponding analytical solution, and develop the stochastic gradient algorithm to calculate the optimum solution. Convergence of the stochastic gradient algorithm is established, and upper bounds on the step sizes are deduced for guaranteed convergence. Simulation results are included to illustrate the superiority of the new model and corroborate the theoretical developments.

• 出版日期2007-9
• 单位重庆大学