Signal noise removing method based on reconstruction signal substituting frequency spectrum data
A technology for reconstructing signal and spectrum data, which is applied in image data processing, sensor, diagnosis, etc., and can solve problems such as signal distortion, unresolved, signal loss, etc.
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[0064] In order to understand the technical content of the present invention more clearly, the following examples are given in detail.
[0065] Before elaborating the overall working process and working principle of the present invention, in order to clarify its technical meaning, it is first necessary to introduce the singular spectrum model as follows:
[0066] According to the singular spectrum analysis theory (see literature: Luo Jianhua and Yuemin Zhu, MR image Reconstruction From truncated k-space using a layer singular point extraction technique, IEEE Transactions on Nuclear Science, 2004.1, Vol.51, No.1; 157: 169), any signal f(x) can be expressed as a weighted sum of singular functions, namely:
[0067] f ( x ) = Σ q = 1 Q a q w b q ...
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