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Statistical properties of phase-shift algorithms

1995; Optica Publishing Group; Volume: 12; Issue: 9 Linguagem: Inglês

10.1364/josaa.12.001997

1520-8532

C. Rathjen,

Structural Health Monitoring Techniques

Statistical properties of phase-shift algorithms are investigated for the case of additive Gaussian intensity noise. Based on a bivariate normal distribution, a generally valid probability-density function for the random phase error is derived. This new description of the random phase error shows properties that cannot be obtained through Gaussian error propagation. The assumption of a normally distributed phase error is compared with the derived probability-density function. For small signal-to-noise ratios the assumption of a normally distributed phase error is not valid. Additionally, it is shown that some advanced systematic-error-compensating algorithms have a disadvantageous effect on the random phase error.