Evaluation of Methods for Estimating Noise Floor of MHD Angular Rate Sensors in Operation

Fan Liu, Xing-Fei Li, Ganming Xia
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Abstract

Noise floor plays a key role in evaluating the quality of MHD Angular Rate Sensors (MHD-ARSs). It determines the smallest angular rate signals that can be detected. Consequently, how to measure the noise floor accurately has become a critical issue. To the best of our knowledge, little research has been conducted into the noise floor measurement of MHD-ARSs. Moreover, noise floor estimators which have been used are not clearly defined and assessed. In this research, we aim at the evaluation of two methods for estimating noise floor of MHDARSs in operation, namely two-channel method and three-channel method. We present mathematical models and derive bias errors of both two methods. We set up a noise floor measurement system for two identical MHD-ARSs and test the two methods under the condition in which the two sensors operate in a high output SNR regime. We have obtained significant results demonstrating that: 1) Normalized bias error of two-channel method is approximately 80% to 100% in the case of SNR value greater than 10 dB. 2) Three-channel method exhibits no bias errors in theory, but it suffers from random errors originated from normalized random errors of PSD estimates.
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运行中MHD角速率传感器噪声本底估计方法的评价
噪声本底是评价MHD角速率传感器(MHD- ars)质量的关键。它确定可以检测到的最小角速率信号。因此,如何准确地测量噪声本底就成为一个关键问题。据我们所知,对mhd - ars的本底噪声测量进行的研究很少。此外,所使用的噪音底估计器并没有明确界定和评估。在本研究中,我们旨在评价两种估计mhdars在运行中的噪声本底的方法,即双通道法和三通道法。我们建立了数学模型并推导了两种方法的偏差误差。我们为两个相同的mhd - ars建立了噪声本底测量系统,并在两个传感器在高输出信噪比下工作的条件下测试了两种方法。结果表明:1)在信噪比大于10 dB的情况下,双通道方法的归一化偏置误差约为80% ~ 100%。2)三通道方法理论上没有偏置误差,但由于PSD估计的归一化随机误差,存在随机误差。
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