Complex coherent signal three-dimensional visualization method

Abstract

The invention discloses a complex coherent signal three-dimensional visualization method comprising a step 1) of reading a complex coherent signal pairs s1 and s2 to be visualized, and constructing acomplex coherent matrix C by second-order statistical averaging; a step 2) of based on the complex coherent matrix C constructed in the step 1), calculating a parameter c0 reflecting the power sum ofs1 and s2, a parameter [beta] describing the relative power difference of s1 and s2, and a complex coherence coefficient [gamma] between s1 and s2; a step 3) of based on the parameters c0, [beta] and[gamma] obtained in the step 2), further calculating parameters c1, c2 and c3 so as to constitute a coherent vector c together with the parameter c0; a step 4) of constructing a three-dimensional coherent sphere based on the coherent vector c obtained in the step 3) so as to visualize all degree of freedom information of the complex coherent signal. The complex coherent signal three-dimensional visualization method completely describes the power information and the coherent information of the complex coherent signal by expanding a traditional two-dimensional circular map into a three-dimensional coherent sphere.

Description

technical field [0001] The invention relates to a multi-dimensional information visualization method, in particular to a three-dimensional visualization method of complex coherent signals. Background technique [0002] In applications such as radar signal processing, especially radar interference signal processing, our research object is usually a pair of complex signals s 1 and s 2 , they come from the scattered echoes of the same target at different observation geometries / times, or from the response of the same signal passing through different channels, etc. for s 1 and s 2 For the characterization of , we either obtain its average power <|s through incoherent measurements 1 | 2 > and <|s 2 | 2 >, or obtain a description of its coherence coefficient |γ| Figure 5 The two-dimensional circular diagram shown is represented, where |γ| is the radius, and δ is the direction angle. However, there is no method that can fully describe the power information and c...

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Problems solved by technology

However, there is no method that can fully describe the power information and coherence information of complex coherent signals at the same time

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