基于区间误差法的双音频率估计阈值效应分析

2022 14th International Conference on Computational Intelligence and Communication Networks (CICN) Pub Date : 2022-12-04 DOI:10.1109/CICN56167.2022.10008251

En Yuan, Peng Liu, Bing Xu, Wenyu Zhang, Yongfen Wu, Yanqin Tang

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引用次数: 0

摘要

双音信号广泛应用于测距。双音信号频率估计是其应用中首先要解决的问题。双音信号频率估计的最大似然估计存在阈值效应，MUSIC算法和最大期望算法的阈值都接近最大似然估计。预测阈值效应的阈值对算法的实际应用具有重要意义。本文利用区间误差法推导了双音频率估计中最大似然估计的近似均方误差(MSE)。仿真结果表明，本文导出的近似MSE可以很好地分析和预测MUSIC和ME算法的阈值。

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Analysis of Threshold Effect of Dual-tone Frequency Estimation Based on Method of Interval Errors

Dual-tone signals are widely used in ranging. Dual-tone signal frequency estimation is the primary problem to be solved in its application. There is a threshold effect on the maximum likelihood estimator (MLE) for frequency estimation of dual-tone signals, and the thresholds of MUSIC and the maximum expectation (EM) algorithm are both close to the MLE. The threshold for predicting the threshold effect is of great significance to the practical application of the algorithm. In this paper, the approximate mean square error (MSE) of the MLE for dual-tone frequency estimation is derived using the method of interval errors. The simulation results show that the approximate MSE derived in this paper can well analyze and predict the threshold of MUSIC and the ME algorithm.

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2022 14th International Conference on Computational Intelligence and Communication Networks (CICN)

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