This paper through rigorous mathematical reasoning proves that four-step phase-shifting interference algorithm in phaseerror caused by nonlinear response inhibition system is better than that of three-step phase-shifting interference algorithm.It makes up the theoretical deficiency of previous relevant studies. And the reconstruction image quality of four-step phaseshiftingalgorithm is better than that of three-step phase-shifting interference. System simulation and digital holographicexperiments have been carried out to prove the correctness and rigor of the above theoretical reasoning. In addition, throughthe analysis of experimental results, it is found that the experimental error is caused by a large number of high-frequencynoise signals.
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