A digital filtering algorithm based on four-channel wavelet and its application in active optical system

Guangbo Qiu; Wusen Li; Yongjun Qi; Wenjian Chen

doi:10.1117/12.2505100

18 January 2019 A digital filtering algorithm based on four-channel wavelet and its application in active optical system

Guangbo Qiu, Wusen Li, Yongjun Qi , Wenjian Chen

Author Affiliations +

Proceedings Volume 10839, 9th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test, Measurement Technology, and Equipment; 108390U (2019) https://doi.org/10.1117/12.2505100
Event: Ninth International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT2018), 2018, Chengdu, China

Abstract

Active optical technology used in large-caliber astronomical telescope depends on micro displacement sensors capable of real-time data processing. Proposed for a kind of differential capacitance micro-displacement sensor, a multi-channel digital ﬁlter based on a wavelet transform is designed in this paper to remove noise and gain a clean output signal. This algorithm includes: 1. From the multi-channel wavelets and refinement equation, a multi-channel filter bank is established and thus a down-sampling of M can be made to improve the real-time performance of the filter. 2. Based on the above, filter coefficients are truncated to integers by the way of wavelet lifting scheme. 3. An efficient iterative method is adopted to improve the wavelet decomposition process and simplify the algorithm itself. Through combining the above three methods, the computation amount of the multiplication and rms in the entire filtering process is reduced greatly, which leads to saving of the hardware resource and reducing of the computation time and benefits the designing of the real-time filter on FPGA platform in future. Verified by Matlab, the algorithm described in this paper achieves good noise processing capability.

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Guangbo Qiu, Wusen Li, Yongjun Qi , and Wenjian Chen "A digital filtering algorithm based on four-channel wavelet and its application in active optical system", Proc. SPIE 10839, 9th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test, Measurement Technology, and Equipment, 108390U (18 January 2019); https://doi.org/10.1117/12.2505100

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KEYWORDS

Wavelets

Filtering (signal processing)

Electronic filtering

Digital filtering

Linear filtering

Interference (communication)

Signal processing

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