Efficient pre-equalisation strategies for the downlink of a multi-carrier code division multiple-access wireless network
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In this study, the problem of optimal synthesis of pre-equalisation factors for a multi-carrier code division multipleaccess wireless network is studied under different quality of service (QoS) restrictions and performance objectives. The downlink is particularly addressed, where the QoS is evaluated by the signal-to-interference-noise ratio (SINR) after signal detection by matched filtering. First, the minimum energy formulation under inequality QoS constraints is analysed, and it was concluded that the optimal performance is always achieved at the lower bounds. Next, the minimisation of the peak magnitude of the pre-equalisation factors was addressed by an optimal synthesis scheme through the infinity norm, where a linear programming strategy is proposed by using an upper bound. Finally, by combining the minimum energy and minimum peak strategies, the minimisation of an upper bound on the peak-to-average-power ratio (PAPR) is suggested, which can be solved through quadratic programming by incorporating the QoS constraints. The new synthesis schemes take into account two important transmitter-based properties: peak magnitude and PAPR. These ideas were extensively validated in simulation, where the synthesis schemes were compared by Monte Carlo tests at different load and noise levels, and objective SINRs.
Code division multiple access; Linear programming; Monte Carlo methods; Multicarrier modulation; Multiuser detection; Optimal systems; Quadratic programming; Signal detection; Signal interference; Signal to noise ratio; Spurious signal noise; Wireless networks; Matched filtering; Monte Carlo tests; Multicarrier code division multiple access; Multicarrier codes; Optimal performance; Peak to average power ratio; Performance objective; Signal to interference-noise ratios; Quality of service