Optimal Amplify-and-Forward Precode and Relay Amplifying Matrices

A cooperative amplify-and-forward (AF) wireless relay scheme consisting of M sources, N relays, and L destinations all equipped with a single antenna is studied in this paper. The main objective is to design jointly and iteratively the closed-form of minimum mean square error (MMSE)-based source precode and relay amplifying matrices under a jamming environment with transmit power constraints and aggregate power constraints. With the derived optimal source precode and relay amplifying matrices, the jamming influence on system performance with both transmit and aggregate power constraints is examined numerically by using Monte-Carlo simulations.

[1]  Bo Wang,et al.  On the capacity of MIMO relay channels , 2005, IEEE Transactions on Information Theory.

[2]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[3]  Zhilan Xiong,et al.  A Cooperative MMSE Relay Strategy for Wireless Sensor Networks , 2008, IEEE Signal Processing Letters.

[4]  Are Hjørungnes,et al.  Complex-Valued Matrix Differentiation: Techniques and Key Results , 2007, IEEE Transactions on Signal Processing.

[5]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

[6]  Victor M. Becerra,et al.  Optimal control , 2008, Scholarpedia.

[7]  Alexander M. Haimovich,et al.  Power allocation for cooperative relaying in wireless networks , 2005, IEEE Communications Letters.

[8]  Leonard E. Miller,et al.  Error-correcting codes and nonlinear diversity combining against worst case partial-band noise jamming of frequency-hopping MFSK systems , 1988, IEEE Trans. Commun..

[9]  Jean-Claude Belfiore,et al.  Optimal Space-Time Codes for the MIMO Amplify-and-Forward Cooperative Channel , 2006 .

[10]  A. Wittneben,et al.  Cooperative Distributed Multiuser MMSE Relaying in Wireless Ad-Hoc Networks , 2005, Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005..

[11]  Wei Guan,et al.  Joint MMSE Transceiver Design in Non-Regenerative MIMO Relay Systems , 2008, IEEE Communications Letters.

[12]  Ali H. Sayed,et al.  Design of half- and full-duplex relay systems based on the MMSE formulation , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

[13]  Yingbo Hua,et al.  Optimal Design of Non-Regenerative MIMO Wireless Relays , 2007, IEEE Transactions on Wireless Communications.

[14]  M. Edwin Sawan,et al.  AF MIMO Wireless Relay Networks under Received Power Constraint , 2012, 2012 IEEE Vehicular Technology Conference (VTC Fall).

[15]  Of references. , 1966, JAMA.

[16]  Kanghee Lee,et al.  Cooperative AF MIMO wireless relay networks under relay power constraint , 2012, 2012 Conference Record of the Forty Sixth Asilomar Conference on Signals, Systems and Computers (ASILOMAR).

[17]  L. Miller,et al.  Probability of Error Analyses of a BFSK Frequency-Hopping System with Diversity Under Partial-Band Jamming Interference - Part I: Performance of Square-Law Linear Combining Soft Decision Receiver , 1984, IEEE Transactions on Communications.

[18]  Ali H. Sayed,et al.  Power Allocation for Beamforming Relay Networks under Channel Uncertainties , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[19]  Hui Hu,et al.  A study of GPS jamming and anti-jamming , 2009, 2009 2nd International Conference on Power Electronics and Intelligent Transportation System (PEITS).

[20]  Robert W. Heath,et al.  Nonregenerative MIMO Relaying With Optimal Transmit Antenna Selection , 2008, IEEE Signal Processing Letters.

[21]  James R. Schott,et al.  Matrix Analysis for Statistics , 2005 .