Title :
On the von mises approximation for the distribution of the phase angle between two independent complex Gaussian vectors
Author_Institution :
Defence Sci. & Technol. Organ., Edinburgh, SA, Australia
Abstract :
This paper analyses the von Mises approximation for the distribution of the phase angle between two independent complex Gaussian vectors. By upper bounding the Kullback-Leibler divergence, it is shown that when their circular means and variances coincide, the distribution converges to a von Mises distribution both in the low and high signal-to-noise ratio regimes.
Keywords :
Gaussian processes; phase shift keying; signal processing; vectors; Gaussian vectors; Kullback-Leibler divergence; phase angle; signal-to-noise ratio; von Mises approximation; Approximation methods; Differential phase shift keying; Entropy; Gaussian noise; Random variables; Signal to noise ratio; Upper bound; Kullback-Leibler; Tikhonov; differential phase shift keying; von Mises;
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2015 IEEE International Conference on
Conference_Location :
South Brisbane, QLD
DOI :
10.1109/ICASSP.2015.7178571
