KEYWORDS: Wavelets, Filtering (signal processing), Electronic filtering, Digital filtering, Linear filtering, Interference (communication), Signal processing, Sensors, Digital signal processing, Wavelet transforms
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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