An Analytical Approach to Space-Time Block Coding With Decision Feedback Channel Estimation

Author

Garg, Parul ; Mallik, Ranjan K. ; Gupta, Hari M.

Author_Institution

Div. of Electron. & Commun. Eng., Netaji Subhas Inst. of Technol., New Delhi

Volume

56

Issue

3

fYear

2007

fDate

5/1/2007 12:00:00 AM

Firstpage

1442

Lastpage

1447

Abstract

We consider a space-time block coded system having L time slots and using decision feedback channel estimation with a finite window size. The channel matrix estimate is updated every L time slots by: 1) a least-squares (LS) estimate and 2) a minimum mean-square error (MMSE) estimate. Using a Markov model of the decision process, we analyze the decoding error probability (DEP) of this scheme in Rayleigh fading. The transition probability matrix is obtained by simulation of the decision process for a system using the Alamouti code. From this matrix, the DEP can be computed for any time shift. We find from computations that the DEP increases with increase in the time shift but tends to saturate with time to a steady-state value. It is also observed that both the state and the transition probabilities tend to saturate with the increase in average signal-to-noise ratio per diversity branch

Keywords

Markov processes; Rayleigh channels; block codes; channel estimation; decoding; error statistics; least squares approximations; matrix algebra; space-time codes; Alamoutic code; MMSE; Rayleigh fading; decision feedback channel estimation; decoding error probability; finite window size; least squares estimation; minimum mean square error estimation; signal-to-noise ratio; space-time block coding; transition probability matrix; Block codes; Channel estimation; Computational modeling; Decoding; Error analysis; Error probability; Feedback; Rayleigh channels; Signal to noise ratio; Steady-state; Decision feedback channel estimation (DFCE); Markov model; Rayleigh fading; decoding error probability (DEP); space-time block coding;

fLanguage

English

Journal_Title

Vehicular Technology, IEEE Transactions on

Publisher

ieee

ISSN

0018-9545

Type

jour

DOI

10.1109/TVT.2007.895559

Filename

4201041