Fixed point optimization algorithm and its application to power control in CDMA data networks

Fixed point optimization algorithm and its application to power control in CDMA data networks
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DOI:
10.1007/s10107-010-0427-x
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发表时间:
2012-06
影响因子:
2.7
通讯作者:
H. Iiduka
H. Iiduka
中科院分区:
数学2区
文献类型:
--
作者:
H. Iiduka

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讨论了非扩张映象不动点集上连续算子的变分不等式问题。这个问题的一个应用是用于直接序列码分多址数据网络的功率控制。对于这样的功率控制,每个用户终端必须能够以理想的功率电平快速发送,使得它可以获得足够的信号与干扰加噪声比并实现所需的服务质量。求解该问题的迭代算法不应涉及辅助优化问题和复杂的计算。为了保证这一点,我们设计了一个变分不等式问题的不动点优化算法,并进行了收敛性分析,我们给出了该算法作为功率控制的数值例子。
We discuss the variational inequality problem for a continuous operator over the fixed point set of a nonexpansive mapping. One application of this problem is a power control for a direct-sequence code-division multiple-access data network. For such a power control, each user terminal has to be able to quickly transmit at an ideal power level such that it can get a sufficient signal-to-interference-plus-noise ratio and achieve the required quality of service. Iterative algorithms to solve this problem should not involve auxiliary optimization problems and complicated computations. To ensure this, we devise a fixed point optimization algorithm for the variational inequality problem and perform a convergence analysis on it. We give numerical examples of the algorithm as a power control.