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首页> 外文期刊>IEEE Transactions on Information Theory >Capacity of nearly decomposable Markovian fading channels under asymmetric receiver-sender side information
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Capacity of nearly decomposable Markovian fading channels under asymmetric receiver-sender side information

机译：非对称接收方-发送方旁信息下几乎可分解的马尔可夫衰落信道的容量

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摘要

We investigate the following issue: if fast fades are Markovian and known at the receiver, while the transmitter has only a coarse quantization of the fading process, what capacity penalty comes from having the transmitter act on the current coarse quantization alone? For time-varying channels which experience rapid time variations, sender and receiver typically have asymmetric channel side information. To avoid the expense of providing, through feedback, detailed channel side information to the sender, the receiver offers the sender only a coarse, generally time-averaged, representation of the state of the channel, which we term slow variations. Thus, the receiver tracks the fast variations of the channel (and the slow ones perforce) while the sender receives feedback only about the slow variations. While the fast variations (micro-states) remain Markovian, the slow variations (macro-states) are not. We compute an approximate channel capacity in the following sense: each rate smaller than the "approximate" capacity, computed using results by Caire and Shamai, can be achieved for sufficiently large separation between the time scales for the slow and fast fades. The difference between the true capacity and the approximate capacity is O(/spl epsi/log/sup 2/(/spl epsi/)log(-log(/spl epsi/))), where /spl epsi/ is the ratio between the speed of variation of the channel in the macro- and micro-states. The approximate capacity is computed by power allocation between the slowly varying states using appropriate water filling.
机译：我们研究以下问题：如果快速衰落是Markovian且在接收机处是已知的，而发射机仅对衰落过程进行粗略的量化，那么仅由发射机对当前的粗略量化进行操作会带来什么容量损失？对于经历快速时间变化的时变信道，发送方和接收方通常具有不对称的信道边信息。为了避免通过反馈向发送方提供详细的信道侧信息的开销，接收方仅向发送方提供信道状态的粗略（通常是时间平均）表示，我们称之为缓慢变化。因此，接收方跟踪通道的快速变化（而强制变化是缓慢的），而发送方仅接收有关缓慢变化的反馈。虽然快速变化（微状态）保持马尔可夫状态，而​​慢速变化（大状态）则没有。我们从以下角度计算近似的信道容量：使用Caire和Shamai的结果计算得出的每个小于“近似”容量的速率，对于慢速和快速衰落的时间尺度之间的足够大的分隔，都可以实现。实际容量和近似容量之间的差为O（/ spl epsi / log / sup 2 /（/ spl epsi /）log（-log（/ spl epsi /））），其中/ spl epsi /是两者之间的比率宏观和微观状态下通道变化的速度。通过使用适当的注水在缓慢变化的状态之间分配功率来计算近似容量。

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