The capacity region of a two-transmitter Gaussian multiple access channel (MAC) under average input power constraints is studied, when the receiver employs a zero-threshold one-bit analog-to-digital converter (ADC). It is proved that the input distributions that achieve the boundary points of the capacity region are discrete. Based on the position of a boundary point, upper bounds on the number of the mass points of the corresponding distributions are derived. Finally, a conjecture on the sufficiency of K mass points in a point-to-point real AWGN with a K-bin ADC front end (symmetric or asymmetric) is settled.1
Capacity region of a one-bit quantized Gaussian multiple access channel / Rassouli, B.; Varasteh, M.; Gunduz, D.. - (2017), pp. 2633-2637. (Intervento presentato al convegno 2017 IEEE International Symposium on Information Theory, ISIT 2017 tenutosi a deu nel 2017) [10.1109/ISIT.2017.8007006].
Capacity region of a one-bit quantized Gaussian multiple access channel
D. Gunduz
2017
Abstract
The capacity region of a two-transmitter Gaussian multiple access channel (MAC) under average input power constraints is studied, when the receiver employs a zero-threshold one-bit analog-to-digital converter (ADC). It is proved that the input distributions that achieve the boundary points of the capacity region are discrete. Based on the position of a boundary point, upper bounds on the number of the mass points of the corresponding distributions are derived. Finally, a conjecture on the sufficiency of K mass points in a point-to-point real AWGN with a K-bin ADC front end (symmetric or asymmetric) is settled.1
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