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Importance Sampling Evaluation of Digital Phase Detectors with Carrier Phase Tracking. A Large Deviations Approach.

Sena da Silva, F. S. ; Leitão, J.

IEEE Trans. on Signal Processing Vol. 56, Nº 12, pp. 5976 - 5986, December, 2008.

ISSN (print): 1053-587X
ISSN (online): 1053-587X

Journal Impact Factor: 2,335 (in 2008)

Digital Object Identifier: 10.1109/TSP.2008.2005094

Abstract
This paper applies Large Deviations Theory (LDT) to the design of
efficient Importance Sampling (IS) simulation of M-ary digital
phase detectors subject to random carrier phase drift within
symbol interval. Phase tracking is accomplished by extended
Kalman-Bucy filters (EKBFs) or dedicated stochastic nonlinear
filters (NLFs).

The LDT approach relies essentially on the properties of the
receiver's error sets, which present unique topological features
in a N dimensional space. We show how to derive the referred
topological properties for the particular phase modulating
sequences and receiver solutions adopted.

The proposed methodologies lead to very high simulation gains both
for the assessment of the error floors induced by the random phase
drift and also for the scenarios where simultaneous random phase
and channel noise preclude the derivation of the error regions.