Decentralized Power Control for Slotted Spread Spectrum Aloha with Successive Interference Cancellation

Abstract

In this paper, we study slotted Spread Spectrum Aloha with Successive Interference Cancellation at the receiver over a Gaussian channel. We consider a decentralized power control setting in which each user chooses its transmit power independently at random according to a power distribution with continuous support. In this setting, we derive an analytical expression for the expected interference power experienced by a user. This allows us to derive analytically the power distribution that, during the Successive Interference Cancellation process leads to a constant signal to noise plus interference ratio for all users. We consider both perfect and imperfect interference cancellation.

Accepted for publication at the 11th International ITG Conference on Systems, Communications and Coding, SCC 2017