A detection method of laser doppler signal based on topological contravariance

Abstract

To detect the laser doppler signal, the unknown signal is tracked by the known signal using the concept of topological contravariance. The unknown topological space U and known space M are founded, and then the unknown signal’s transformation is tracked dynamically according to this mapping relationship between the two spaces. The system equation is obtained by gradient-descent method, and the conditions of stability are given by Poincaré mapping. The proposed method is applied to measure the in-plane displacement signal of the solid 50 m away using laser doppler, signal. The result proves that the method can detect laser doppler. signal accurately, its relative error is less than 0.7%.

Keywords

Adaptive Filter / Signal Space / Unknown Signal / Optoelectronic Letter / Nonstationary Signal

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