Cellular telecommunication system comprising a plurality of coupled radio transmitter stations Tx 1..Tx k..Tx k, K ≥ 2, communicatively coupled via backhaul links and arranged in adjoining radio cells 1..k.. K, wherein at least one k-th radio transmitter station Tx k is capable of beamforming a radio signal based on a k-th antenna weights vector w k, to a receiver station Rx k, each k -th pair of transmitter station and associated receiver station is assigned a user utility function u 1...u k...u K and a system utility function U is defined as the sum of all user utility functions, wherein the optimization of the system utility function is performed by a distributed algorithm, characterized in that: at least the k-th radio transmitter station Tx k is adapted for determining the antenna weights vector w k based on an optimized k-th power gain vector x k determined by iterating the steps of: - transmitting each l-th, l ≠ k, component of the k-th power gain vector x k,l to at least one corresponding 1-th radio transmitter station Tx l, - calculating the k-th antenna weights vector w k based on the k-th power gain vector x k and transmitting the radio signal using the calculated antenna weights vector w k, - calculating partial derivatives of a k-th user utility function du k / dx k,k and du k / dx l,k based on a k-th component of each 1-th power gain vector x l,k received from the at least one corresponding 1-th radio transmitter station Tx l, - transmitting each l-th partial derivative of the calculated k-th user utility function du k / dx l,k to at least one corresponding 1-th radio transmitter station Tx l, and - updating the k-th power gain vector x k based on a k-th partial derivative of each 1-th user utility function du l / dx k,l received from the at least one corresponding 1-th radio transmitter station Tx l, based on an optimization algorithm having a limited step size, the k-th radio transmitter station and the l-th radio transmitter station being further adapted to asynchronously exchange the partial derivatives and the power gains via the backhaul links. at least the k-th radio transmitter station Tx k is adapted for determining the antenna weights vector w k based on an optimized k-th power gain vector x k determined by iterating the steps of: - transmitting each l-th, l ≠ k, component of the k-th power gain vector x k,l to at least one corresponding 1-th radio transmitter station Tx l, - calculating the k-th antenna weights vector w k based on the k-th power gain vector x k and transmitting the radio signal using the calculated antenna weights vector w k, - calculating partial derivatives of a k-th user utility function du k / dx k,k and du k / dx l,k based on a k-th component of each 1-th power gain vector x l,k received from the at least one corresponding 1-th radio transmitter station Tx l, - transmitting each l-th partial derivative of the calculated k-th user utility function du k / dx l,k to at least one corresponding 1-th radio transmitter station Tx l, and - updating the k-th power gain vector x k based on a k-th partial derivative of each 1-th user utility function du l / dx k,l received from the at least one corresponding 1-th radio transmitter station Tx l, based on an optimization algorithm having a limited step size, the k-th radio transmitter station and the l-th radio transmitter station being further adapted to asynchronously exchange the partial derivatives and the power gains via the backhaul links. - transmitting each l-th, l ≠ k, component of the k-th power gain vector x k,l to at least one corresponding 1-th radio transmitter station Tx l, - calculating the k-th antenna weights vector w k based on the k-th power gain vector x k and transmitting the radio signal using the calculated antenna weights vector w k, - calculating partial derivatives of a k-th user utility function du k / dx k,k and du k / dx l,k based on a k-th component of each 1-th power gain vector x l,k received from the at least one corresponding 1-th radio transmitter station Tx l, - transmitting each l-th partial derivative of the calculated k-th user utility function du k / dx l,k to at least one corresponding 1-th radio transmitter station Tx l, and - updating the k-th power gain vector x k based on a k-th partial derivative of each 1-th user utility function du l / dx k,l received from the at least one corresponding 1-th radio transmitter station Tx l, based on an optimization algorithm having a limited step size, the k-th radio transmitter station and the l-th radio transmitter station being further adapted to asynchronously exchange the partial derivatives and the power gains via the backhaul links.