Fisher-Information-Matrix Based Analysis of Semiblind MIMO Frequency Selective Channel Estimation
Author(s) -
Aditya K. Jagannatham,
Bhaskar D. Rao
Publication year - 2011
Publication title -
isrn signal processing
Language(s) - English
Resource type - Journals
eISSN - 2090-505X
pISSN - 2090-5041
DOI - 10.5402/2011/758918
Subject(s) - mimo , algorithm , channel (broadcasting) , fisher information , mathematics , cramér–rao bound , matrix (chemical analysis) , finite impulse response , computer science , statistics , control theory (sociology) , estimation theory , telecommunications , artificial intelligence , materials science , control (management) , composite material
by the unknown blind symbols. It is demonstrated that the FIM for this system can be expressed as the sum of the blind FIM J b and pilot FIM J p . We present a key result relating the rank of the FIM to the number of blindly identifiable parameters. We then present a novel maximum-likelihood (ML) scheme for the semiblind estimation of the MIMO FIR channel. We derive the CramerRao Bound (CRB) for the semiblind scheme. It is observed that the semi-blind MSE of estimation of the MIMO FIR channel is potentially much lower compared to an exclusively pilot-based scheme. Finally, we derive a lower bound for the minimum number of pilot symbols necessary for the estimation of an FIR MIMO channel for any general semi-blind scheme. Simulation results are presented to augment the above analysis.
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