关于单位成本信道容量的注记  

Notes on channel capacity per unit cost

作　　者：田大钢[1] 

机构地区：[1]上海理工大学复杂系统科学研究中心,上海200093

出　　处：《通信学报》2011年第4期32-38,46,共8页Journal on Communications

基　　金：上海市重点学科基金资助项目(S30504);国家科技支撑计划基金资助项目(2008BADA6B01)~~

摘　　要：针对单位成本信道容量的计算问题,首先将一个联系单位成本信道容量与容量成本函数的基本定理推广到一般凸函数的情况,并证明了推广的单位成本容量函数具有单峰性,然后给出了一个利用单峰函数的性质计算单位成本信道容量的算法。同时,针对信道容量成本函数的计算问题,证明了这类带约束的信道容量的计算问题可以化为一个目标函数具有自协调性的凸优化问题,并给出了具体的算法和算法的计算量。For the computation of the capacity per unit cost,an extension of the basic theorem connect the capacity per unit cost with the capacity-cost function was made,and the single peak of the generalized capacity-cost function per unit cost was proved.Then,an algorithm to locate the optimal point of the generalized capacity-cost function per unit cost based on the single peak of the function was proposed.Meanwhile,it was proved that the computation of the capac-ity-cost function,which is a constrained channel capacity issue,can be expressed as a convex optimization,to which the objective function is self-concordant.The algorithm and its computational complexity were given.

关 键 词：信道容量 单位成本信道容量 自协调函数 计算量 

分 类 号：TN911.2[电子电信—通信与信息系统]