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The coherent-mode representation theory is firstly used to analyze lensless two-color ghost imaging.A quite com-plicated expression about the point-spread function(PSF)needs to be given to analyze which wavelength has a stronger affect on imaging quality when the usual integral representation theory is used to ghost imaging.Unlike this theory,the coherent-mode representation theory shows that imaging quality depends crucially on the distribution of the decomposition coefficients of the object imaged in a two-color ghost imaging.The analytical expression of the decomposition coefficients of the object is unconceed with the wavelength of the light used in the reference arm,but has relevance with the wave-length in the object arm.In other words,imaging quality of two-color ghost imaging depends primarily on the wavelength of the light illuminating the object.Our simulation results also demonstrate this conclusion.