Precoded Sphere-Packing-Aided Bit-Interleaved Differential Space-Time Coded Modulation Using Iterative Decoding

In this treatise, we investigate a precoded and sphere packing (SP)-aided bit-interleaved differential space-time coded modulation scheme using iterative decoding. The amalgamated design and interworking of the SP, differential encoding, and iteratively detected bit-interleaved schemes are investigated. A rate-1 precoder is integrated into the system, where iterative decoding is carried out between the precoder and an outer channel code. We identify the optimal SP mapping and investigate the convergence behavior of this concatenated scheme with the aid of Extrinsic Information Transfer (EXIT) charts. Furthermore, we consider various rate-1 precoders having different memory sizes and demonstrate that the memory-1 precoder performs best when an RSC(2,1,5) is employed as the outer code, creating an open EXIT chart convergence tunnel at Eb/NO = 6 dB. On the other hand, the memory-3 precoder is more suitable for the proposed system employing irregular convolutional codes, resulting in an infinitesimally low bit error rate at Eb /NO = 5.5 dB.

[1]  S. ten Brink,et al.  Iterative demapping and decoding for multilevel modulation , 1998, IEEE GLOBECOM 1998 (Cat. NO. 98CH36250).

[2]  Dariush Divsalar,et al.  Serial concatenated trellis coded modulation with rate-1 inner code , 2000, Globecom '00 - IEEE. Global Telecommunications Conference. Conference Record (Cat. No.00CH37137).

[3]  Dariush Divsalar,et al.  Serial Concatenation of Interleaved Codes: Performance Analysis, Design, and Iterative Decoding , 1997, IEEE Trans. Inf. Theory.

[4]  Gordon L. Stüber,et al.  A serial concatenation approach to iterative demodulation and decoding , 1999, IEEE Trans. Commun..

[5]  Giuseppe Caire,et al.  Bit-Interleaved Coded Modulation , 2008, Found. Trends Commun. Inf. Theory.

[6]  Xiang-Gen Xia,et al.  On Space-Time Block Codes from Complex Orthogonal Designs , 2003, Wirel. Pers. Commun..

[7]  Michael Tuchler,et al.  EXIT charts of irregular codes , 2002 .

[8]  Peter A. Hoeher,et al.  "Turbo DPSK": iterative differential PSK demodulation and channel decoding , 1999, IEEE Trans. Commun..

[9]  X. Li.  Bit-interleaved coded modulation with iterative decoding using soft feedback , 1998 .

[10]  James A. Ritcey,et al.  Optimal constellation labeling for iteratively decoded bit-interleaved space-time coded Modulation , 2005, IEEE Transactions on Information Theory.

[11]  K. J. Ray Liu,et al.  Space-time signal design for time-correlated Rayleigh fading channels , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[12]  Michael Tüchler,et al.  Design of Serially Concatenated Systems Depending on the Block Length , 2004, IEEE Trans. Commun..

[13]  Vahid Tarokh,et al.  Differential space time block codes using nonconstant modulus constellations , 2003, IEEE Trans. Signal Process..

[14]  Patrick Robertson,et al.  A comparison of optimal and sub-optimal MAP decoding algorithms operating in the log domain , 1995, Proceedings IEEE International Conference on Communications ICC '95.

[15]  Stephan ten Brink,et al.  Extrinsic information transfer functions: model and erasure channel properties , 2004, IEEE Transactions on Information Theory.

[16]  Stephan ten Brink,et al.  Designing Iterative Decoding Schemes with the Extrinsic Information Transfer Chart , 2001 .

[17]  Lajos Hanzo,et al.  Turbo Coding, Turbo Equalisation and Space-Time Coding for Transmission over Fading Channels , 2002 .

[18]  G. Kramer,et al.  Code rate and the area under extrinsic information transfer curves , 2002, Proceedings IEEE International Symposium on Information Theory,.

[19]  Lajos Hanzo,et al.  A Turbo Detection and Sphere-Packing-Modulation-Aided Space-Time Coding Scheme , 2007, IEEE Transactions on Vehicular Technology.

[20]  Hamid Jafarkhani,et al.  A differential detection scheme for transmit diversity , 2000, IEEE Journal on Selected Areas in Communications.

[21]  A. Robert Calderbank,et al.  Space-time block coding for wireless communications: performance results , 1999, IEEE J. Sel. Areas Commun..

[22]  W. Fischer,et al.  Sphere Packings, Lattices and Groups , 1990 .

[23]  Lajos Hanzo,et al.  A Differential Turbo Detection Aided Sphere Packing Modulaled Space-Time Coding Scheme , 2006, 2006 IEEE 63rd Vehicular Technology Conference.

[24]  Bertrand M. Hochwald,et al.  Differential unitary space-time modulation , 2000, IEEE Trans. Commun..

[25]  Siavash M. Alamouti,et al.  A simple transmit diversity technique for wireless communications , 1998, IEEE J. Sel. Areas Commun..

[26]  Xiang-Gen Xia,et al.  Constellation mapping for space-time matrix modulation with iterative demodulation/decoding , 2005, IEEE Transactions on Communications.

[27]  Thomas L. Marzetta,et al.  A transmitter diversity scheme for wideband CDMA systems based on space-time spreading , 2001, IEEE J. Sel. Areas Commun..