| Hadamard transform spectral imaging technology is a multi-channel spectral modulation technology,which has high signal-to-noise ratio and the advantage in energy distribution,solving the contradiction between resolution and light flux in dispersive spectral imager.In recent decades,related works has focused on dynamic coding Hadamard spectral imager,but there has been few works on static coding Hadamard spectral imager.The latter has great potential value in the application scenarios of push-scanning observation,but the accuracy of its restored spectral image data needs to be improved.Therefore,this paper has studied the data error of the static coding Hadamard spectral imager,including Spectral aliasing error and the push-sweep error,in order to provide reference for the design and improvement of static coding Hadamad spectral imager.The main work are as follows:Firstly,the influence mechanism of Spectral aliasing on the recovery data of static coding Hadamad spectral imager has been analyzed,and the influence mechanism under two different conditions has been summarized.In the case of single error factor of spectrum aliasing,the imaging and data recovery process of spectral imager have been deduced,and the mathematical relationship between the restored data and the original target data has been obtained,which has been summarized into two cases.The ideal imaging and data recovery model of static coding Hadamad spectral imager has been established on the MATLAB platform.On this basis,the Spectral aliasing has been added into the imaging process,and the influence mechanism in the two cases has been verifyed by the simulation results.Secondly,a data processing method to eliminate Spectral aliasing error has been proposed,and the average spectral angle similarity(SAS)has been reduced by 5.36%in the simulation results.For the situation where the detector is at the edge of the secondary image plane,a data restoration algorithm to eliminate the single-factor error of Spectral aliasing has been proposed according to the mathematical relationship between the restored data and the original data,and its effectiveness has been verified by simulation.For the situation that the detector is located in the center of the secondary image surface,the difficulty of correcting the error by data processing method is pointed out,and suggestions for the instrument design stage are given.Finally,the influence of push sweep error on the recovery data of static coding Hadamad spectral imager has been analyzed and simulated,and the quantitative relationships between the restored datacube error and the drift angle and push speed error have been given,respectively.For the existence of drift angle and push speed error,the error formulation of the imaging data is derived,respectively.In the ideal imaging model of the MATLAB platform,the drift angle and push speed error have Imager been added respectively,and the restoration results of the simulated imaging have been obtained.The relationship curves between the valve of the drift angle,the valve of the push sweep speed error and the recovery spectral datacube error have been given,so that the allowable range of the drift angle and the push sweep speed error can be determined according to the engineering accuracy needs. |