A Double Calibration Processing Method Based on Weighted Mean Square Error Minimization

Abstract

The invention discloses a double calibration treatment method based on a minimum weighted mean square error. According to the method, a minimum weighted mean square error (MWMSE) function for RCS double calibration measurement and treatment is defined; different weight factors are selected according to the same error function, and the weighted mean square error is minimized to meet different application requirements; when the weight factor averagely takes 1 which is namely the mean weight, the results can minimize the absolute error of RCS measurement calibration; when the weight factor takes the formula shown in the description (wi is the weight factor of the ith calibration body, the function in the absolute value sign in the formula shown in the description is the theoretical scattering function of the ith calibration body, and N is the number of measurement frequency points), the optimization results minimize the relative error of RCS measurement calibration; and for the RCS measurement of low-detectivity targets, the RCS level of the calibration body generally adopted is higher than the target RCS level in order to guarantee a sufficiently-high signal to clutter ratio. Under such conditions, the criterion of relative error minimum is beneficial for reducing the calibration error and improving the RCS measurement calibration precision.

Description

technical field [0001] The invention relates to the technical field of communication and radar, in particular to the radar scattering cross-section measurement and calibration processing technology of low detectable targets, and in particular to a double calibration processing method based on weighted mean square error minimization. Background technique [0002] In the traditional target radar cross section (RCS) measurement, the calibration function H(f) is obtained by measuring a single calibration object, so that the calibration of the target scattering data can be completed. The main problem in deriving the calibration function from a single measurement is that although the calibration function H(f) is derived, it is impossible to give the uncertainty of the RCS measurement calibration using this calibration function. [0003] In order to discuss the measurement and calibration of the target wideband radar cross section (RCS) amplitude and phase, the target wideband comp...

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Problems solved by technology

[0022] Defects of existing technology 1: From the above analysis, it can be found that in the dual calibration technology originally proposed by Chizever et al., it is completely arbitrary to choose who is the main and who is the auxiliary of the two calibration bodies. The disadvantages are: No matter who is selected as the main calibration body, according to the definition, the calibration measurement error of the calibration function obtained in this way is always 0 for the main calibration body; and for the auxiliary calibration body, the estimated calibration function The calibration error is the combination of the measurement errors of the two calibration bodies

[0039] The defect of prior art-2: the MMSE criterion that LaHaie adopts is based on the criterion that makes absolute error minimization, and it can guarantee that the background scattering level is lower, and then the target RCS measurement calibration absolute error defined by formula (11) is more Small

[0042] Obviously, MMSE technology does not solve the above two key problems well

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