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Efficient expression and bound for pairwise error probability in Rayleigh fading channels, with application to union bounds for turbo codes

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3 Author(s)
E. A. R. Ince ; Dept. of Electr. & Electron. Eng., Eastern Mediterranean Univ., Famagusta, Turkey ; N. S. Kambo ; S. A. Ali

This work provides a new exact expression for the pairwise error probability under perfect channel state information. Using this expression, the average union upper bounds for (1,7/5,7/5) and (1,5/7,5/7) turbo coding schemes are presented based on transfer function approach assuming fully interleaved Rayleigh fading channels. Derivation for the pairwise error probability leads to a compact approximation which overlaps with the exact expression. This new approximation is computationally more efficient than the existing ones, and leads to a much quicker general ion of union bounds for performance analysis.

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IEEE Communications Letters  (Volume:9 ,  Issue: 1 )