Bounds on the performance of turbo codes on Nakagami fading channels with diversity combining

Author

Ramesh, A. ; Chockalingam, A. ; Milstein, L.B.

Author_Institution

Wireless & Broadband Commun. Synopsys (INDIA) Pvt. Ltd., Bangalore, India

Volume

2

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

1199

Abstract

We derive bit error performance bounds for turbo codes on Nakagami fading channels with diversity combining. We first derive the average pairwise error probability expressions for turbo codes with maximal ratio combining (MRC), equal gain combining (EGC), and selection combining (SC) on Nakagami fading channels. Using the pairwise error probability expressions and the union bounding technique, we then obtain bounds on the bit error probability of turbo codes for MRC, EGC, and SC diversity schemes. We present the modified log-MAP turbo decoder for MRC, EGC, and SC, and compare the analytical bounds with simulation results for the special case of 2-antenna diversity with Nakagami parameter m=1 (i.e., Rayleigh fading). Results indicate that the EGC scheme with turbo coding performs close to MRC scheme for i.i.d Rayleigh fading

Keywords

Rayleigh channels; diversity reception; error statistics; maximum likelihood decoding; turbo codes; 2-antenna diversity; BPSK; EGC; MRC; Nakagami fading channels; analytical bounds; average pairwise error probability; bit error performance bounds; closed form expression; diversity combining; equal gain combining; i.i.d. Rayleigh fading; log-map turbo decoder; maximal ratio combining; maximum-likelihood decoding; modified log-MAP turbo decoder; selection combining; simulation results; turbo codes; union bounding technique; AWGN channels; Analytical models; Diversity reception; Error probability; Fading; Maximum likelihood decoding; Pairwise error probability; Rayleigh channels; Receiving antennas; Turbo codes;

fLanguage

English

Publisher

ieee

Conference_Titel

Global Telecommunications Conference, 2001. GLOBECOM '01. IEEE

Print_ISBN

0-7803-7206-9

Type

conf

DOI

10.1109/GLOCOM.2001.965672

Filename

965672