Signal subspace analysis for decoherent processes during interferometric fiber-optic gyroscopes using synchronous adaptive filters

Yongxiao Li; Zinan Wang; Chao Peng; Zhengbin Li

doi:10.1364/AO.53.006853

Applied Optics
Vol. 53,
Issue 29,
pp. 6853-6860
(2014)
•https://doi.org/10.1364/AO.53.006853

Signal subspace analysis for decoherent processes during interferometric fiber-optic gyroscopes using synchronous adaptive filters

Yongxiao Li, Zinan Wang, Chao Peng, and Zhengbin Li

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Yongxiao Li, Zinan Wang, Chao Peng, and Zhengbin Li, "Signal subspace analysis for decoherent processes during interferometric fiber-optic gyroscopes using synchronous adaptive filters," Appl. Opt. 53, 6853-6860 (2014)

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Abstract

Conventional signal processing methods for improving the random walk coefficient and the bias stability of interferometric fiber-optic gyroscopes are usually implemented in one-dimension sequence. In this paper, as a comparison, we allocated synchronous adaptive filters with the calculations of correlations of multidimensional signals in the perspective of the signal subspace. First, two synchronous independent channels are obtained through quadrature demodulation. Next, synchronous adaptive filters were carried out in order to project the original channels to the high related error channels and the approximation channels. The error channel signals were then processed by principal component analysis for suppressing coherent noises. Finally, an optimal state estimation of these error channels and approximation channels based on the Kalman gain coefficient was operated. Experimental results show that this signal processing method improved the raw measurements’ variance from $0.0630 [{(° / h)}^{2}]$ to $0.0103 [{(° / h)}^{2}]$ .

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	$T$	$A$	$E$	$E^{'}$	$K$	$S$
$σ_{I}^{2} [{(° / h)}^{2}]$	0.1204	0.0037	0.0609	0.1198	0.0254	0.0029
$σ_{Q}^{2} [{(° / h)}^{2}]$	0.1211	0.0037	0.0605	0.0015	0.0822	0.0302
$ρ_{I, Q}$	0.0423	0.5843	0.9747	0.0000	$- 0.4880$	0.0014
$σ_{C}^{2} [{(° / h)}^{2}]$	0.0630	0.0029	0.0599	0.0302	0.0238	0.0103

Signal ( $° / h$ )	$Ω_{T}$	$Ω_{A}$	$Ω_{S}$
RWC ( $° / h / \sqrt{Hz}$ )	$1.99 \times 10^{- 2}$	$7.46 \times 10^{- 3}$	$3.16 \times 10^{- 3}$
Bias ( $° / h$ )	$1.57 \times 10^{- 3}$	$1.57 \times 10^{- 3}$	$1.57 \times 10^{- 3}$

	$T$	$A$	$E$	$E^{'}$	$K$	$S$
$σ_{I}^{2} [{(° / h)}^{2}]$	0.1204	0.0037	0.0609	0.1198	0.0254	0.0029
$σ_{Q}^{2} [{(° / h)}^{2}]$	0.1211	0.0037	0.0605	0.0015	0.0822	0.0302
$ρ_{I, Q}$	0.0423	0.5843	0.9747	0.0000	$- 0.4880$	0.0014
$σ_{C}^{2} [{(° / h)}^{2}]$	0.0630	0.0029	0.0599	0.0302	0.0238	0.0103

Signal ( $° / h$ )	$Ω_{T}$	$Ω_{A}$	$Ω_{S}$
RWC ( $° / h / \sqrt{Hz}$ )	$1.99 \times 10^{- 2}$	$7.46 \times 10^{- 3}$	$3.16 \times 10^{- 3}$
Bias ( $° / h$ )	$1.57 \times 10^{- 3}$	$1.57 \times 10^{- 3}$	$1.57 \times 10^{- 3}$

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Applied Optics