## Abstract

We consider a wireless network in which multiple users share a common spectrum band, modeled as a Gaussian interference network. Our objective is to choose the transmit power spectral density of each user to maximize the sum rate, subject to individual power constraints at each transmitter. This includes frequency-orthogonal transmissions and fullspreading with power control as special cases. Assuming singleuser receivers and treating interference as noise, the resulting optimization problem is non-convex. Nevertheless, for a two-user model with flat-fading we completely characterize the optimal solution. In particular, we show that the optimal power allocation consists of each user using a piecewise constant power allocation over at most 3 frequency bands, where at most one band is shared by the two users. Extensions to more than two users and a distributed algorithm to implement the optimal allocation are also presented.

Original language | English (US) |
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Title of host publication | 2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008 |

Pages | 2142-2146 |

Number of pages | 5 |

DOIs | |

State | Published - Dec 1 2008 |

Event | 2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008 - Pacific Grove, CA, United States Duration: Oct 26 2008 → Oct 29 2008 |

### Other

Other | 2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008 |
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Country/Territory | United States |

City | Pacific Grove, CA |

Period | 10/26/08 → 10/29/08 |

## ASJC Scopus subject areas

- Signal Processing
- Computer Networks and Communications