A Divide-and-Conquer Algorithm for the Symmetric TridiagonalEigenproblem
SIAM Journal on Matrix Analysis and Applications
Matrix computations (3rd ed.)
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
DSP-Based Satellite CDMA Modem: A Low Complexity Implementation
Wireless Personal Communications: An International Journal
Reconfigurable Antenna for Future Wireless Communication Systems
Wireless Personal Communications: An International Journal
Uniform channel decomposition for MIMO communications
IEEE Transactions on Signal Processing
In-vehicle WLAN radio-frequency communication characterization
IEEE Transactions on Intelligent Transportation Systems
Capacity scaling in MIMO wireless systems under correlated fading
IEEE Transactions on Information Theory
Computing the capacity of a MIMO fading channel under PSK signaling
IEEE Transactions on Information Theory
Analysis and performance of some basic space-time architectures
IEEE Journal on Selected Areas in Communications
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Multiple-input-multiple-output (MIMO) technique is often employed to increase capacity in comparing to systems with single antenna. However, the computational complexity in evaluating channel capacity or transmission rate (data rate) grows proportionally to the number of employed antennas at both ends of the wireless link. Recently, the QR decomposition (QRD) based detection schemes have emerged as a low-complexity solution. After conducting QRD on a full channel matrix that results in a triangular matrix, we claim that computational complexity can be simplified by the following ways. First, to simplify channel capacity calculation, we prove that eigenvalues of the full channel matrix multiplication equals eigenvalues of the triangular channel matrix multiplication. Second, to simplify the calculation of the optimal transmission rate constrained constellation, we propose a simplistic multiplication of the resulted simple triangular matrix and a transmitted signal vector. Then, we also propose a modified mutual information calculation (MMIC) to achieve a quite low-complexity via the divided calculation. By using computer simulation and field- programmable gate array (FPGA) implementation, simulation results show that the proposed QRD-based schemes are capable of achieving conventional performance, but at a low-complexity level.