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# Three-Stage serially concatenated codes and iterative center-shifting K-best sphere detection for SDM-OFDM: An EXIT chart aided perspective

Wang, Li, Xun, Lei, Chen, Sheng and Hanzo, Lajos (2008) Three-Stage serially concatenated codes and iterative center-shifting K-best sphere detection for SDM-OFDM: An EXIT chart aided perspective. In IEEE Wireless Communications and Networking Conference. IEEE. pp. 611-615 .

Record type: Conference or Workshop Item (Paper)

## Abstract

Iterative K-best sphere detection (SD) and channel decoding is appealing, since it is capable of achieving a near maximum-posteriori (MAP) performance at a low complexity. However, a potentially excessive computational cost is imposed,especially in a high-throughput Spatial Division Multiplexing (SDM) aided OFDM system emloying a large number of transmit antennas and/or high-order modulation schemes. This problem is further aggravated, when the number of transmit antennas exceeds that of the receive antennas, namely in the challanging scenario of rank-deficient systems. In order to further reduce thecomplexity imposed, we propose a unity-rate-code-aided (URC) three-stage concantenated transceiver constituted by an inner and outer channel encoder/decoder pair as well as the SDM aided OFDM transmitter and K-best SD. We have demonstrated that our proposed three-stage scheme is capable of achieving a substantial performance gain over the classic two-stage scheme.For example, given a target Bit Error Ratio (BER) of $10^{−5}$, the three-stage SD-aided receiver is capable of achieving a performance gain of 4 dB over its two-stage counterpart in an (8×4)-element SDM/OFDM system. Furthermore, we have also investigated the achievable performance of our novel centershiftingaided SD in the context of this three-stage scheme. Consequently, an additional 0.5 dB performance gain can be attained. Finally, the convergence behavior of the proposed schemes were studied with the aid of 3D EXtrinsic Information Transfer (EXIT) charts and their 2D projections.

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Published date: 31 March 2008

## Identifiers

Local EPrints ID: 448693
URI: http://eprints.soton.ac.uk/id/eprint/448693
PURE UUID: d52cba6e-9aa5-4751-9ee7-d1515692a0a6
ORCID for Lajos Hanzo: orcid.org/0000-0002-2636-5214

## Catalogue record

Date deposited: 30 Apr 2021 16:31

## Contributors

Author: Li Wang
Author: Lei Xun
Author: Sheng Chen
Author: Lajos Hanzo