Abstract:Based on the amplitude preservation analysis of conventional parabolic Radon transform, least squares parabolic Radon transform and high resolution parabolic Radon transform, various factors influencing the amplitude preservation of high resolution parabolic Radon transform are analyzed specifically.It is noted that for least squares Radon transform and high resolution Radon transform, the signal resolution in transform domain depends on the “standard event” assumption of signal model.But in the actual processing, due to various factors, the events deviate from the assumption, which leads to a lower signal resolution, and influences the amplitude-preserving ability of Radon transform de-noising method.In this paper, the way of amplitude preservation theoretical analysis of the wave field decomposition class de-noi-sing methods is provided, as well as evaluation standards.Then, taking removing multiples by Radon transform as a case, we make a detailed analysis of the signal operation process for several implementations of Radon transform, and a theoretical amplitude preservation assessment.The following observations from theoretical analysis and numerical experiments are obtained:Firstly, conventional Radon transform does not meet the requirements of amplitude-preserved processing; secondly, least squares Radon transform operator satisfies amplitude preservation requirements, but signal resolution in transform domain still need to be improved; finally, under the approximation to the “standard event” assumption, high resolution Radon transform de-noising method can be considered to be amplitude-preserved in a certain presi-sion range.