Modified adaptive filter for digital subdivision of a four-frequency differential laser gyro

Weibin Zhu; Gang Zheng; Linfeng Chen; Ke Liang; Yao Huang; Yao Huang; Zi Xue

doi:10.1364/AO.412394

Applied Optics
Vol. 60,
Issue 2,
pp. 342-350
(2021)
•https://doi.org/10.1364/AO.412394

Modified adaptive filter for digital subdivision of a four-frequency differential laser gyro

Weibin Zhu, Gang Zheng, Linfeng Chen, Ke Liang, Yao Huang, and Zi Xue

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Weibin Zhu, Gang Zheng, Linfeng Chen, Ke Liang, Yao Huang, and Zi Xue, "Modified adaptive filter for digital subdivision of a four-frequency differential laser gyro," Appl. Opt. 60, 342-350 (2021)

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- Instrumentation and Measurements
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About this Article
History
- Original Manuscript: October 14, 2020
- Revised Manuscript: December 4, 2020
- Manuscript Accepted: December 8, 2020
- Published: January 6, 2021

Abstract

This study represents a modified adaptive filter to suppress the beat noise of four-frequency differential laser gyro (FFDLG), which greatly affects the result of the eightfold digital subdivision. By constructing the demodulated signal model of FFDLG, the influence of beat noise to digital subdivision is analyzed. Based on the least mean square adaptive algorithm, a process of signal reconstruction and dead-zone operator of error are adopted in the modified adaptive algorithm. When implemented on a field-programmable gate array chip, the filter replaces the multiplication with 2:1 multiplexer to reduce the complexity of algorithm and resources in circuit. This circuit effectively suppresses the beat noise of the demodulated signal without changing the optical structure of the FFDLG and increases the signal-to-noise ratio from 20 dB to about 40 dB, which is conducive to improving the performance of the FFDLG.

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Section	Interval Range
1	$u (t) \in (0, \sqrt{2} / 2) {A m p}^{i - 1}, d u (t) / d t \geq 0$
2	$u (t) \geq \sqrt{2} / 2 {A m p}^{i - 1}, d u (t) / d t \geq 0$
3	$u (t) \geq \sqrt{2} / 2 {A m p}^{i - 1}, d u (t) / d t < 0$
4	$u (t) \in (0, \sqrt{2} / 2) {A m p}^{i - 1}, d u (t) / d t < 0$
5	$u (t) \in (- \sqrt{2} / 2, 0) {A m p}^{i - 1}, d u (t) / d t < 0$
6	$u (t) < - \sqrt{2} / 2 {A m p}^{i - 1}, d u (t) / d t < 0$
7	$u (t) < - \sqrt{2} / 2 {A m p}^{i - 1}, d u (t) / d t > 0$
8	$u (t) \in (- \sqrt{2} / 2, 0) {A m p}^{i - 1}, d u (t) / d t \geq 0$

Category	Multiplication	2:1 MUXs
LE	22,000	24,000
Embedded multiplier 9-bit elements	768	0
$F_{max} (M H z)$	100	113
TP(W)	0.274	0.196

Speed	Frequency A	Frequency B
30°/s	810 kHz	736 kHz
60°/s	848 kHz	698 kHz
100°/s	898 kHz	648 kHz

Speed	Channel A		Channel B
Speed	Original SNR/dB	Filtered SNR/dB	Original SNR/dB	Filtered SNR/dB
30°/s	21.1	36.1	29.8	50.2
60°/s	23.5	44.1	25.6	46.8
100°/s	29.8	55.2	19.2	41.0

Speed	Range of Pulse Width with Filter	Range of Pulse Width without Filter
30°/s	$A : 300 \sim 325 n s$	$A : 275 \sim 350 n s$
30°/s	$B : 325 \sim 350 n s$	$B : 300 \sim 375 n s$
60°/s	$A : 275 \sim 300 n s$	$A : 250 \sim 325 n s$
60°/s	$B : 350 \sim 375 n s$	$B : 325 \sim 400 n s$
100°/s	$A : 250 \sim 275 n s$	$A : 225 \sim 300 n s$
100°/s	$B : 375 \sim 400 n s$	$B : 350 \sim 425 n s$

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Applied Optics