© The Institution of Engineering and Technology
The performance of turbo codes in quasi-static fading channels both with and without antenna diversity is investigated. In particular, simple analytic techniques that relate the frame error rate of a turbo code to both its average distance spectrum as well as the iterative decoder convergence characteristics are developed. Both by analysis and simulation, the impact of the constituent recursive systematic convolutional (RSC) codes, the interleaver size and the number of decoding iterations on the performance of turbo codes are also investigated. In particular, it is shown that in systems with limited antenna diversity different constituent RSC codes or interleaver sizes do not affect the performance of turbo codes. In contrast, in systems with significant antenna diversity, particular constituent RSC codes and interleaver sizes have the potential to significantly enhance the performance of turbo codes. These results are attributed to the fact that in single transmit–single receive antenna systems, the performance primarily depends on the decoder convergence characteristics for Eb/N0 values of practical interest. However, in multiple transmit–multiple receive antenna systems, the performance depends on the code characteristics.
References
-
-
1)
-
G. Bauch ,
J. Hagenauer ,
N. Seshadri
.
(2001)
Turbo processing in transmit antenna diversity systems.
-
2)
-
I.A. Chatzigeorgiou ,
M.R.D. Rodrigues ,
I.J. Wassell
.
A comparison of convolutional and turbo coding schemes for broadband FWA systems.
IEEE Trans. Broadcast.
,
494 -
503
-
3)
-
A. Stefanov ,
T.M. Duman
.
Performance bounds for turbo-coded multiple antenna systems.
IEEE J. Sel. Areas Commun.
,
374 -
381
-
4)
-
S. ten Brink
.
Convergence behavior of iteratively decoded parallel con-catenated codes.
IEEE Trans. Commun.
,
1727 -
1737
-
5)
-
S. Benedetto ,
E. Biglieri
.
(1999)
Principles of digital transmission with wireless applications.
-
6)
-
I. Sason ,
S. Shamai
.
Improved upper bounds on the ML decoding error probability of parallel and serial concatenated turbo codes via their ensemble distance spectrum.
IEEE Trans. Inf. Theory
,
24 -
47
-
7)
-
C. Berrou ,
A. Glavieux
.
Near optimum error correcting coding and decoding: turbo-codes.
IEEE Trans. Commun.
,
10 ,
1261 -
1271
-
8)
-
E.K. Hall ,
S.G. Wilson
.
Design and analysis of turbo codes on Rayleigh fading channels.
IEEE J. Sel. Areas Commun.
,
2 ,
160 -
174
-
9)
-
S. Benedetto ,
G. Montorsi
.
Unveiling turbo codes: some results on parallel concatenated coding schemes.
IEEE Trans. Inf. Theory
,
409 -
429
-
10)
-
J.P. Woodard ,
L. Hanzo
.
Comparative study of turbo decoding techniques: an overview.
IEEE Trans. Veh. Technol.
,
6 ,
2208 -
2233
-
11)
-
Hoshyar, R., Jamali, S.H., Bahai, A.R.S.: `Turbo coding performance in OFDM packet transmission', Proc. IEEE Vehicular Technology Conf. Spring, May 2000, 2, p. 805–810.
-
12)
-
J. Hu ,
S.L. Miller
.
Performance analysis of convolutionally coded systems over quasi-static fading channels.
IEEE Trans. Wirel. Commun.
,
4 ,
789 -
795
-
13)
-
H. Bouzekri ,
S.L. Miller
.
An upper bound on turbo codes performance over quasi-static fading channels.
IEEE Commun. Lett.
,
7 ,
302 -
304
-
14)
-
M.A. Kousa ,
A.H. Mugaibel
.
Puncturing effects on turbo codes.
Proc. IEE – Commun.
,
132 -
138
-
15)
-
Berrou, C., Glavieux, A., Thitimajshima, P.: `Near Shannon limit error-correcting coding and decoding: turbo-codes', Proc. IEEE Int. Conf. Communications, May 1993, 2, p. 1064–1070.
-
16)
-
A. Stefanov ,
T.M. Duman
.
Turbo-coded modulation for systems with transmit and receive antenna diversity over block fading channels: system model, decoding approaches, and practical considerations.
IEEE J. Sel. Areas Commun.
,
958 -
968
-
17)
-
L. Lin ,
L.J. Cimini ,
C.I. Chuang
.
Comparison of convolutional and turbo codes for OFDM with antenna diversity in high-bit-rate wireless applications.
IEEE Commun. Lett.
,
277 -
279
-
18)
-
Robertson, P., Villebrun, E., Höeher, P.: `A comparison of optimal and sub-optimal MAP decoding algorithms operating in the log domain', Proc. IEEE Int. Conf. Communications, June 1995, 2, p. 1009–1013.
-
19)
-
S. Benedetto ,
G. Montorsi
.
Design of parallel concatenated convolutional codes.
IEEE Trans. Commun.
,
591 -
600
-
20)
-
Rodrigues, M.R.D., Chatzigeorgiou, I.A., Wassell, I.J.: `On the performance of turbo codes in quasi-static fading channels', Proc. IEEE Int. Symp. Information Theory, September 2005, p. 622–626.
-
21)
-
J.G. Proakis
.
(1995)
Digital communications.
-
22)
-
L. Bahl ,
J. Cocke ,
F. Jelinek ,
J. Raviv
.
Optimal decoding of linear codes for minimizing symbol error rate.
IEEE Trans. Inf. Theory
,
284 -
287
-
23)
-
H. El Gamal ,
A.R. Hammons
.
Analyzing the turbo decoder using the Gaussian approximation.
IEEE Trans. Inf. Theory
,
2 ,
671 -
686
-
24)
-
V. Tarokh ,
H. Jafarkhani ,
A. Calderbank
.
Space-time block codes from orthogonal designs.
IEEE Trans. Inf. Theory
,
5 ,
1456 -
1467
-
25)
-
V. Tarokh ,
H. Jafarkhani ,
A.R. Calderbank
.
Space-time block coding for wireless communications: Performance results.
IEEE J. Sel. Areas Commun.
,
3 ,
451 -
460
-
26)
-
H. Bölcskei ,
A.J. Paulraj ,
K.V.S. Hari
.
Fixed broadband wireless access: state of the art, challenges and future directions.
IEEE Commun. Mag.
,
100 -
108
-
27)
-
T.M. Duman ,
M. Salehi
.
New performance bounds for turbo codes.
IEEE Trans. Commun.
,
717 -
723
-
28)
-
Chatzigeorgiou, I., Rodrigues, M.R.D., Wassell, I.J.: `A novel technique for the evaluation of the transfer function of punctured turbo codes', Proc. IEEE Int. Conf. Communications, July 2006, Istanbul, Turkey.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-com_20060586
Related content
content/journals/10.1049/iet-com_20060586
pub_keyword,iet_inspecKeyword,pub_concept
6
6