Optimal Power Allocation for Multiple Channels With One-Bit Analog-to-Digital Converters

Abstract

In this study, an optimal power allocation over multiple noninterfering channels is derived for the case in which each channel uses two separate one-bit analog-to-digital converters for the real and imaginary parts respectively of the complex received signal. The optimization problem is formulated to determine the optimal transmit power allocation over multiple channels that maximizes the sum capacity. The solution of the optimization problem is explicitly determined by exploiting the Karush-Kuhn-Tucker conditions. The essential strategy for optimal power allocation is described with the corresponding mathematical results. Simulation results demonstrate that the derived power allocation is indeed optimal, as expected, and it achieves a significant gain compared to the case where an appropriate power allocation has not been used.