Quantization is a nonlinear process which generates additional frequency components (Thompson *et al. *1986).
This means that the signal is no longer band-limited, so the Sampling Theorem no longer holds. If a signal is sampled at
the Nyquist Frequency, information will be lost. Therefore, sampling faster than the Nyquist Frequency results in
detection of more of the signal and a lower signal-to-noise ratio [SNR]. Let be the Oversampling ratio and define

Then the following table gives values of for a number of parameters.

Quantization Levels | ||

2 | 0.64 | 0.74 |

3 | 0.81 | 0.89 |

4 | 0.88 | 0.94 |

**References**

Thompson, A. R.; Moran, J. M.; and Swenson, G. W. Jr. Fig. 8.3 in *Interferometry and Synthesis in Radio Astronomy.*
New York: Wiley, p. 220, 1986.

© 1996-9

1999-05-25