This paper through rigorous mathematical reasoning proves that four-step phase-shifting interference algorithm in phase error 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 phaseshifting algorithm is better than that of three-step phase-shifting interference. System simulation and digital holographic experiments have been carried out to prove the correctness and rigor of the above theoretical reasoning. In addition, through the analysis of experimental results, it is found that the experimental error is caused by a large number of high-frequency noise signals.
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