Distributed space-frequency codes for cooperative communication systems with multiple carrier frequency offsets

In cooperative communications, due to the distributed nature, multiple different carrier frequency offsets (CFOs) may occur and make the channel time-varying. It is hard for the receiver to compensate multiple CFOs from multiple relay nodes simultaneously. Thus, the conventional space-time codes to collect cooperative diversity for co-located multi-input multi-output (MIMO) systems may not be applied directly. In this paper, we consider the cooperative transmission with multiple CFOs when the channels from relay nodes to destination node are flat (frequency-non-selective) fading. We approximate a flat fading channel with CFO as a block time-invariant intersymbol-interference (ISI) channel in the frequency domain. We then propose two distributed space-frequency codes (SFC) for such ISI channels in the frequency domain to achieve the cooperative full spatial diversity, where the space-frequency coding concept is different from the one in the literature and also has a different role. One is called frequency-reversal SFC and the other is called frequency-domain linear convolutive SFC. Furthermore, we show that, with only linear receivers, such as zero-forcing (ZF) and minimum mean square error (MMSE) receivers, our codes achieve the full cooperative diversity.

[1]  Xiang-Gen Xia,et al.  A Criterion and Design for Space-Time Block Codes Achieving Full Diversity With Linear Receivers , 2007, 2007 IEEE International Symposium on Information Theory.

[2]  Xiang-Gen Xia,et al.  Space-Time Block Codes Achieving Full Diversity With Linear Receivers , 2008, IEEE Trans. Inf. Theory.

[3]  Yong Soo Cho,et al.  An equalization technique for orthogonal frequency-division multiplexing systems in time-variant multipath channels , 1999, IEEE Trans. Commun..

[4]  Xiang-Gen Xia,et al.  An Alamouti coded OFDM transmission for cooperative systems robust to both timing errors and frequency offsets , 2008, IEEE Transactions on Wireless Communications.

[5]  Elza Erkip,et al.  User cooperation diversity. Part I. System description , 2003, IEEE Trans. Commun..

[6]  Dennis Goeckel,et al.  Asynchronous cooperative diversity , 2006, IEEE Transactions on Wireless Communications.

[7]  K. J. Ray Liu,et al.  Obtaining full-diversity space-frequency codes from space-time codes via mapping , 2003, IEEE Trans. Signal Process..

[8]  Helmut Bölcskei,et al.  Space-frequency coded broadband OFDM systems , 2000, 2000 IEEE Wireless Communications and Networking Conference. Conference Record (Cat. No.00TH8540).

[9]  Xiang-Gen Xia,et al.  Distributed linear convolutive space-time codes for asynchronous cooperative communication networks , 2008, IEEE Transactions on Wireless Communications.

[10]  Petre Stoica,et al.  Space-Time block codes: A maximum SNR approach , 2001, IEEE Trans. Inf. Theory.

[11]  Xiaohua Li,et al.  Space-time coded multi-transmission among distributed transmitters without perfect synchronization , 2004, IEEE Signal Process. Lett..

[12]  L. Hanzo,et al.  Adaptive multicarrier modulation: a convenient framework for time-frequency processing in wireless communications , 2000, Proceedings of the IEEE.

[13]  Ran Gozali,et al.  Space-Time Codes for High Data Rate Wireless Communications , 2002 .

[14]  Gregory W. Wornell,et al.  Distributed space-time-coded protocols for exploiting cooperative diversity in wireless networks , 2003, IEEE Trans. Inf. Theory.

[15]  Xiang-Gen Xia,et al.  Shift-full-rank matrices and applications in space-time trellis codes for relay networks with asynchronous cooperative diversity , 2006, IEEE Transactions on Information Theory.

[16]  Arogyaswami Paulraj,et al.  A transmit diversity scheme for channels with intersymbol interference , 2000, 2000 IEEE International Conference on Communications. ICC 2000. Global Convergence Through Communications. Conference Record.

[17]  Huiming Wang,et al.  Computationally efficient MMSE and MMSE-DFE equalizations for asynchronous cooperative communications with multiple frequency offsets , 2008, 2008 IEEE International Symposium on Information Theory.

[18]  Jian-Kang Zhang,et al.  Linear toeplitz space time block codes , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[19]  Guangxi Zhu,et al.  An equalization technique for distributed stbc-ofdm system with multiple carrier frequency offsets , 2006, IEEE Wireless Communications and Networking Conference, 2006. WCNC 2006..

[20]  Ananthram Swami,et al.  Combating synchronization errors in cooperative relays , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[21]  Dennis Goeckel,et al.  CTH15-4: Multiple Frequency Offset Compensation in Cooperative Wireless Systems , 2006, IEEE Globecom 2006.

[22]  Aria Nosratinia,et al.  Coded cooperation in wireless communications: space-time transmission and iterative decoding , 2004, IEEE Transactions on Signal Processing.

[23]  Xiaohua Li,et al.  Carrier Frequency Offset Mitigation in Asynchronous Cooperative OFDM Transmissions , 2008, IEEE Transactions on Signal Processing.

[24]  Babak Hassibi,et al.  High-rate codes that are linear in space and time , 2002, IEEE Trans. Inf. Theory.

[25]  Sven-Gustav Häggman,et al.  Intercarrier interference self-cancellation scheme for OFDM mobile communication systems , 2001, IEEE Trans. Commun..

[26]  Xiang-Gen Xia,et al.  Signal Detection for Space-Frequency Coded Cooperative Communication System with Multiple Carrier Frequency Offsets , 2007, 2007 IEEE Wireless Communications and Networking Conference.

[27]  Nevio Benvenuto,et al.  Multiple Frequency Offsets Estimation and Compensation for Cooperative Networks , 2007, 2007 IEEE Wireless Communications and Networking Conference.

[28]  Mohamed Oussama Damen,et al.  Delay-Tolerant Distributed-TAST Codes for Cooperative Diversity , 2007, IEEE Transactions on Information Theory.

[29]  Geert Leus,et al.  Simple equalization of time-varying channels for OFDM , 2005, IEEE Communications Letters.

[30]  Jing Liu,et al.  On the Design of Minimum BER Linear Space-Time Block Codes for MIMO Systems Equipped With MMSE Receivers , 2006, IEEE Transactions on Signal Processing.

[31]  Yindi Jing,et al.  Distributed Space-Time Coding in Wireless Relay Networks , 2006, IEEE Transactions on Wireless Communications.

[32]  Hüseyin Arslan,et al.  Carrier Frequency Offset Compensation with Successive Cancellation in Uplink OFDMA Systems , 2006, IEEE Vehicular Technology Conference.

[33]  Chintha Tellambura,et al.  Intercarrier interference self-cancellation space-frequency codes for MIMO-OFDM , 2005, IEEE Transactions on Vehicular Technology.