Bayesian and deterministic CRBs for semi-blind channel estimation in SIMO single carrier cyclic prefix systems

Omar, Samir-Mohamad; Slock, Dirk; Bazzi, Oussama

doi:10.1109/pimrc.2011.6139792

Cited by 8 publications

(14 citation statements)

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“…Unfortunately, many of these CRBs are shown to be loose since they don't take into consideration the coupling between the channel and the symbol estimates at the level of the Fisher Information Matrix (FIM). In this paper we propose modified versions of these CRBs that are tighter than those derived in [1]. We will show analytically that these CRBs constitute valid lower bounds in the moderate and high SNR regimes.…”

Section: Introductionmentioning

confidence: 91%

“…Where TK (h) and TU (h) represent respectively the portions of T (h) that correspond to A k (MK known symbols) and AU (MU unknown symbols), see Figure 5 in [1]. On the other hand, A is a block Toeplitz matrix filled with the elements of A while AK and AU are block Toeplitz matrices filled with the elements of AK and AU respectively.…”

Section: Simo Fir Tx System Modelmentioning

confidence: 99%

“…We have presented in [1] a complete framework that permits the handling of the different cases of the channel and the symbols estimation. Here we shall present briefly the main results.…”

Section: A Unified Framework For Different Crbsmentioning

confidence: 99%

“…Here we shall present briefly the main results. In [1] the different estimation cases have been classified into two main categories.…”

Section: A Unified Framework For Different Crbsmentioning

confidence: 99%

“…As usual the performance of these algorithms are lower bounded by the most famous lower bound namely, CRB. In [1] we have derived the CRBs that correspond to the different algorithms elaborated in [2]. Unfortunately, many of these CRBs are shown to be loose since they don't take into consideration the coupling between the channel and the symbol estimates at the level of the Fisher Information Matrix (FIM).…”

Section: Introductionmentioning

confidence: 99%

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Recent insights in the Bayesian and deterministic CRB for blind SIMO channel estimation

Omar

Slock

Bazzi

2012

2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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The performance of channel estimation is often assessed by deriving the proper Cramér-Rao Bound (CRB). Depending on how to treat the symbols and the channel, we have previously derived different versions of CRB. Specifically, we have dealt with the cases where the symbols and/or the channel are assumed to be either deterministic unknowns or random. Moreover, the symbols have been considered to be either jointly estimated with the channel or marginalized. All in all, we have derived six different versions of Bayesian and deterministic CRBs. However, we have shown that many of these CRBs are too optimistic in the sense that they are not strict enough to be attained by any deterministic or Bayesian estimator. In this paper we propose modified versions of those loose CRBs in the context of SIMO FIR system that are valid at least in the moderate and high SNR regimes. The analytical formulas for the lower bounds introduced are validated by some Monte-Carlo simulations.

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Section: Introductionmentioning

confidence: 91%

Section: Simo Fir Tx System Modelmentioning

confidence: 99%

“…We have presented in [1] a complete framework that permits the handling of the different cases of the channel and the symbols estimation. Here we shall present briefly the main results.…”

Section: A Unified Framework For Different Crbsmentioning

confidence: 99%

“…Here we shall present briefly the main results. In [1] the different estimation cases have been classified into two main categories.…”

Section: A Unified Framework For Different Crbsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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