With our research going deeply, quantum correlated diffraction imaging can be accomplished by use of classical thermal source now, which indicates its wide application in X-ray and neutron diffraction imaging. The object transmission functions are successfully retrieved from the lensless Fourier transform frequency spectrums, which are obtained in experiment using incoherent light. Using the error reduction algorithm and the input-output algorithm integrated with over sampling theory,the amplitude distribution function of amplitude-only object and the phase distribution function of pure-phase object are retrieved successfully. The influence of the noise of Fourier transform frequency spectrum in the experiment on the retrieval result is also discussed.