Although the phase error probability density function (pdf) of the FFT-based digital interferometer has been successfully derived, the reliable numerical computation of the pdf presents practical difficulties. This paper provides a practical framework for computing the phase error pdf involving the appropriate truncation of the infinite series embedded in the mathematical formula for the phase error pdf. As a corollary, it is shown that the easily computable von Mises probability density can be used to closely approximate the phase error pdf in the high signal-to-noise ratio regime. These results are useful for analyzing the performance of interferometric direction finding systems.

Additional Metadata
Keywords angle of arrival, direction finding, FFT filter bank, phase error, Phase interferometry, von Mises probability density
Persistent URL dx.doi.org/10.1109/CCECE.2011.6030424
Conference 2011 Canadian Conference on Electrical and Computer Engineering, CCECE 2011
Citation
Wang, S. (Sichun), Inkol, R. (Robert), Patenaude, F. (Francois), & Rajan, S. (2011). Numerical computation of the probability density of the phase error of the FFT-based digital interferometer. In Canadian Conference on Electrical and Computer Engineering (pp. 130–135). doi:10.1109/CCECE.2011.6030424