TY - JOUR
T1 - Evaluation of cramer-rao bounds for phase estimation of coded linearly modulated signals
AU - Wu, Nan
AU - Wang, Hua
AU - Zhao, Hongjie
AU - Liu, Huafeng
AU - Kuang, Jingming
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014
Y1 - 2014
N2 - The evaluation of Cramer-Rao Bounds (CRBs) for phase estimation of coded linearly modulated signals are difficult due to the intractable expectations of the likelihood function with respect to coded symbols. In this paper, we propose two methods towards this end. The first one is a semi-analytical method for coded QPSK signals. Based on Gaussian approximation of extrinsic information, the expression of CRB is derived in terms of signal-to-noise ratio (SNR) and the mean of extrinsic information in closed form. For high-order modulations, e.g., 16QAM signal, we propose a numerical method based on multidimensional Gauss-Hermite Quadrature (GHQ). It is shown that, without suffering from the linearization error, the results of numerical method by GHQ outperform the semi-analytical results, and the former are consistent with that of the Monte Carlo simulations for systems with different codes and numbers of decoding iterations.
AB - The evaluation of Cramer-Rao Bounds (CRBs) for phase estimation of coded linearly modulated signals are difficult due to the intractable expectations of the likelihood function with respect to coded symbols. In this paper, we propose two methods towards this end. The first one is a semi-analytical method for coded QPSK signals. Based on Gaussian approximation of extrinsic information, the expression of CRB is derived in terms of signal-to-noise ratio (SNR) and the mean of extrinsic information in closed form. For high-order modulations, e.g., 16QAM signal, we propose a numerical method based on multidimensional Gauss-Hermite Quadrature (GHQ). It is shown that, without suffering from the linearization error, the results of numerical method by GHQ outperform the semi-analytical results, and the former are consistent with that of the Monte Carlo simulations for systems with different codes and numbers of decoding iterations.
UR - http://www.scopus.com/inward/record.url?scp=84936868680&partnerID=8YFLogxK
U2 - 10.1109/VTCSpring.2014.7022915
DO - 10.1109/VTCSpring.2014.7022915
M3 - Conference article
AN - SCOPUS:84936868680
SN - 0740-0551
VL - 2015-January
JO - IEEE Vehicular Technology Conference
JF - IEEE Vehicular Technology Conference
IS - January
M1 - 7022915
T2 - 2014 79th IEEE Vehicular Technology Conference, VTC 2014-Spring
Y2 - 18 May 2014 through 21 May 2014
ER -