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## A simple distributed autonomous power control algorithm and its convergence (1993)

Venue: | IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY |

Citations: | 468 - 3 self |

### Citations

898 |
Matrix iterative analysis
- Varga
- 2000
(Show Context)
Citation Context ... defined in the corresponding way. We also need the notation, X+, for the set of all J vectors, z, other than the zero vector, that satisfy z 2 0. Furthermore, we need the following result from [ll], =-=[12]-=- that holds for any square matrix with nonnegative entries. Lemma: Ro possesses a nonnegative eigenvalue p that is larger in modulus than the modulus of any of its other eigenvalues. This eigenvalue i... |

364 |
Performance of optimum transmitter power control in cellular radio systems
- Zander
- 1992
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Citation Context ...ce occurs with this local distributed algorithm any time a central controller can achieve the desired performance. For analytical work on power control in wireless systems see [1]-[9].l J. Zander, in =-=[3]-=-, (which builds on the basic reference [2]) as well as Zander’s companion paper, [4], report interesting initial work on distributed power control.2 Namely, an iterative scheme is presented that opera... |

216 |
Distributed cochannel interference control in cellular radio systems
- Zander
- 1992
(Show Context)
Citation Context ...hieve the desired performance. For analytical work on power control in wireless systems see [1]-[9].l J. Zander, in [3], (which builds on the basic reference [2]) as well as Zander’s companion paper, =-=[4]-=-, report interesting initial work on distributed power control.2 Namely, an iterative scheme is presented that operates under the assumption that the transmitter power is sufficiently high in order to... |

145 | A Survey of Matrix Theory and Matrix Inequalities - Marcus, Minc - 1992 |

84 |
Power balancing in systems employing frequency reuse
- Aein
- 1973
(Show Context)
Citation Context ...rithm any time a central controller can achieve the desired performance. For analytical work on power control in wireless systems see [1]-[9].l J. Zander, in [3], (which builds on the basic reference =-=[2]-=-) as well as Zander’s companion paper, [4], report interesting initial work on distributed power control.2 Namely, an iterative scheme is presented that operates under the assumption that the transmit... |

33 | A Distributed Algorithm for Power Control in Cellular Radio Systems - Grandhi, Vijayan, et al. - 1993 |

21 |
On Power Control in High Capacity Cellular Radio Networks
- Bambos, Pottie
- 1992
(Show Context)
Citation Context ...sting of references, including several of special interest for the area of spread spectrum communications. The papers [3j-[9] include numerical studies for various cellular propagation models. Papers =-=[6]-=--[9] also include a preliminary look at some dynamic channel allocation considerations. 2Reference [5] reports an improved variant of Zander’s scheme that has superior convergence properties. Authoriz... |

18 |
Signal-level-based dynamic power control for co-channel interference management
- Whitehead
- 1993
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Citation Context ...n of receiver noise in the definition of interference avoids the difficulty with absolute power settings. Here we will stress defining an algorithm that is totally local in that only ‘References [3], =-=[7]-=-, and, [Sj provide an up-to-date listing of references, including several of special interest for the area of spread spectrum communications. The papers [3j-[9] include numerical studies for various c... |

12 | Performance and Capacity of Distributed Dynamic Channel Assignment and - Whitehead - 1993 |

3 | Assignment of transmitter power control by linear programming - Brock, Epstein - 1964 |

1 |
Dynamic resource allocation for line of sight microcells,” accepted for GLOBECOM
- Valenzuela
- 1993
(Show Context)
Citation Context ...he desired performance occurs with this local distributed algorithm any time a central controller can achieve the desired performance. For analytical work on power control in wireless systems see [1]-=-=[9]-=-.l J. Zander, in [3], (which builds on the basic reference [2]) as well as Zander’s companion paper, [4], report interesting initial work on distributed power control.2 Namely, an iterative scheme is ... |

1 |
Channel Cost of Mobility,” to be published, ZEEE Trans. Veh. Technol., this issue. Gerald J. Foschini for biography and photograph, see p. 424 of this issue. Zoran MiLjanic for biography and photograph, see p. 424 of this issue. Authorized licensed use li
- Foschini, Gopinath, et al.
(Show Context)
Citation Context ...ry preliminary model. In more detailed quantitative studies3 the effects of Rayleigh fading would also be included. Mobility is another complicating feature to be considered for future investigations =-=[13]-=-. V. CONCLUSION Equation (3) (or (5), or better (13a)) expresses a simple distributed autonomous means of power control, in that only local power and interference measurements are used to effect the c... |