A Rao-Blackwellized Particle Filter for Joint Channel/Symbol Estimation in MC-DS-CDMA Systems

This paper deals with the joint estimation of Rayleigh fading channels and symbols in a MC-DS-CDMA system. Formerly, particle filtering has been introduced as a set of promising methods to solve communication problems. PF consists in simulating possible values of the unkwnown parameters and selecting the most likely candidates with regard to the received signal. Here, the Rao-Blackwellized particle filter (RBPF) is used to significantly decrease the variance of the channel/symbol estimates. Our contribution is twofold. Firstly, sinusoidal stochastic models have been shown to better represent the statistical properties of Rayleigh channels than classical autoregressive models. Therefore, the proposed RBPF estimator is based on these models which are expressed as the sum of two sinusoids in quadrature at the maximum Doppler frequency with autoregressive processes as amplitudes. The model parameters are unknown and need to be estimated. Since PFs are not well-suited to recover non-varying parameters, we propose to cross-couple the RBPF with a Kalman filter which makes use of the RBPF ouputs to sequentially update the parameters. Secondly, the choice of an efficient proposal distribution to simulate the particles is crucial for PF performance. We suggest using a suboptimal distribution which simulates likely values of the symbols at a reasonable computational cost.

[1]  Lars Lindbom,et al.  Simplified Kalman estimation of fading mobile radio channels: high performance at LMS computational load , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[2]  R. Clarke A statistical theory of mobile-radio reception , 1968 .

[3]  T. Bertozzi,et al.  Particle filtering for joint data-channel estimation in fast fading channels , 2003, The 57th IEEE Semiannual Vehicular Technology Conference, 2003. VTC 2003-Spring..

[4]  A. Doucet,et al.  Parameter estimation in general state-space models using particle methods , 2003 .

[5]  Pooi Yuen Kam Optimal detection of digital data over the nonselective Rayleigh fading channel with diversity reception , 1991, IEEE Trans. Commun..

[6]  Mohamed Najim,et al.  The Stochastic Sinusoidal Model for Rayleigh Fading Channel Simulation , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[7]  Rong Chen,et al.  Delayed-pilot sampling for mixture Kalman filter with application in fading channels , 2002, IEEE Trans. Signal Process..

[8]  Stanley J. Simmons,et al.  Breadth-first trellis decoding with adaptive effort , 1990, IEEE Trans. Commun..

[9]  Arnaud Doucet,et al.  Particle filtering for joint symbol and parameter estimation in DS spread spectrum systems , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[10]  Kareem E. Baddour,et al.  Autoregressive modeling for fading channel simulation , 2005, IEEE Transactions on Wireless Communications.

[11]  Marc Moeneclaey,et al.  A sequential Monte Carlo method for blind phase noise estimation and data detection , 2005, 2005 13th European Signal Processing Conference.

[12]  W. Gilks,et al.  Following a moving target—Monte Carlo inference for dynamic Bayesian models , 2001 .

[13]  John B. Anderson,et al.  Instrumentable tree encoding of information sources (Corresp.) , 1971, IEEE Trans. Inf. Theory.

[14]  G. Kitagawa A self-organizing state-space model , 1998 .

[15]  Keum-Chan Whang,et al.  Synchronous transmission technique for the reverse link in DS-CDMA terrestrial mobile systems , 1999, IEEE Trans. Commun..

[16]  Petar M. Djuric,et al.  Adaptive blind multiuser detection over flat fast fading channels using particle filtering , 2004, GLOBECOM.

[17]  Nando de Freitas,et al.  Sequential Monte Carlo Methods in Practice , 2001, Statistics for Engineering and Information Science.

[18]  A. Doucet,et al.  On-Line Parameter Estimation in General State-Space Models , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[19]  A. Doucet On sequential Monte Carlo methods for Bayesian filtering , 1998 .

[20]  T. Higuchi Monte carlo filter using the genetic algorithm operators , 1997 .

[21]  Riccardo Raheli,et al.  Per-Survivor Processing: a general approach to MLSE in uncertain environments , 1995, IEEE Trans. Commun..

[22]  Peter Hsin-Yu Wu,et al.  Multiuser detectors with disjoint Kalman channel estimators for synchronous CDMA mobile radio channels , 2000, IEEE Trans. Commun..

[23]  Steven D. Blostein,et al.  Identification of frequency non-selective fading channels using decision feedback and adaptive linear prediction , 1995, IEEE Trans. Commun..

[24]  Milica Stojanovic,et al.  Performance of adaptive MC-CDMA detectors in rapidly fading Rayleigh channels , 2003, IEEE Trans. Wirel. Commun..

[25]  Florence Alberge,et al.  OFDM Channel Estimation by a Linear EM-Map Algorithm , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[26]  W. C. Jakes,et al.  Microwave Mobile Communications , 1974 .