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FITEE
Front. Inform. Technol. Electron. Eng.  2016, Vol. 17 Issue (10): 1067-1073    DOI: 10.1631/FITEE.1500417
    
An enhanced mixed modulated Lagrange explicit time delay estimator with noisy input
Wei Xia, Ju-lei Zhu, Wen-ying Jiang, Ling-feng Zhu
School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China; Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, New Jersey 07030, USA
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Abstract  The mixed modulated Lagrange explicit time delay estimation (MMLETDE) algorithm provides an efficient time delay estimation between narrowband or sinusoidal signals. However, it does not explicitly consider the additive measurement noise at the input, which actually exists in practice. Aiming at this issue, an enhanced MMLETDE algorithm is proposed for noisy inputs based on the unbiased impulse response estimation technique, assuming that the noise power ratio is known {a priori}. Simulation results show that for narrowband signals or sinusoids over a wide frequency range, the proposed algorithm with a small filter order performs well in moderate and high noise scenarios.

Key words： Time delay estimation      Adaptive filter      Noisy input      Modulated Lagrange      Unbiased impulse response estimation     
Received: 28 November 2015      Published: 08 October 2016
CLC:  TN911  
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Wei Xia, Ju-lei Zhu, Wen-ying Jiang, Ling-feng Zhu. An enhanced mixed modulated Lagrange explicit time delay estimator with noisy input. Front. Inform. Technol. Electron. Eng., 2016, 17(10): 1067-1073.

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http://www.zjujournals.com/xueshu/fitee/10.1631/FITEE.1500417     OR     http://www.zjujournals.com/xueshu/fitee/Y2016/V17/I10/1067


考虑输入噪声的混合调制拉格朗日明确时延估计改进算法

\n 概要：混合调制拉格朗日明确时延估计（mixed modulated Lagrange explicit time delay estimation, MMLETDE）算法可对窄带信号或正弦信号提供有效的时延估计。然而，该算法未考虑实际存在于输入端的加性观测噪声。针对该问题，本文利用已知噪声功率比，基于无偏脉冲响应估计技术，提出MMLETDE的一种改进算法。仿真结果表明，在中、高噪声场景下，该改进算法以小的滤波器阶数，实现了对窄带信号或较大频率范围内的正弦信号良好的时延估计。
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关键词： 时延估计,  自适应滤波器,  噪声输入,  调制拉格朗日法,  无偏脉冲响应估计 
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