Two-channel optical three-dimensional interference method based on underdetermined blind source separation

Abstract

The invention discloses a two-channel optical three-dimensional interference method based on underdetermined blind source separation. On the basis of interference data collected by a CCD camera, interference signals between surfaces of tested pieces of glass slides are processed by blind separation and thus interference signal parameters are calculated, wherein the interference signal parameters include an interference signal amplitude frequency and an interference signal phase frequency; according to a two-channel optical three-dimensional Michelson interference experiment, estimation of a mixed matrix is obtained based on a K-means clustering algorithm and source signal recovery is realized by an L1 norm shortest path method; and then laser wave number scanning is performed and four-surface interference signals are obtained by blind separation accurately by using light intensity values collected by the CCD camera, thereby realizing blind separation of the four-surface interference signals. Compared with the ordinary interference measurement method not being capable of identifying all peak locations accurately, the disclosed two-channel optical three-dimensional interference method has the following advantages: with two-channel detection and sampling, blind source separation is performed and locations of all interference signals can be detected even when the signals face the strong noises.

Description

technical field [0001] The invention relates to the technical field of two-channel laser wavenumber scanning three-dimensional Michelson interference, in particular to a two-channel optical three-dimensional interference method and system based on underdetermined blind source separation. Background technique [0002] Interference refers to the superposition of two columns of coherent waves that meet certain conditions. In the superposition area, the vibration at some points is always strengthened, and the vibration at some points is always weakened, that is, the vibration intensity has a stable spatial distribution in the interference area. In the measurement of various parameters, interferometry has high test sensitivity and accuracy, and is a high-precision measurement method. [0003] Blind source separation refers to recovering the source signal only based on the observed mixed signal under the condition that the source signal and the transmission channel process are unk...

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Problems solved by technology

[0004] In the prior art, since the number of observation signals is less than the number of source signals, the source signal cannot be solved in the form of an inverse matrix; if the noise fluctuation is too strong and the amplitude of the interference signal is small, it is easy to make the two Closer interfering signals are aliased into one signal

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