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arXiv 1111.2640cs.ITmath.ITmath.OC
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有限反馈认知无线电网络中断最小化功率分配

Power Allocation for Outage Minimization in Cognitive Radio Networks with Limited Feedback

Yuan Yuan He, Subhrakanti Dey

摘要:

提出了在窄带频谱共享认知无线电网络中,在次发射机(SU-TX)处的长期平均发射功率约束和主接收机(PU-RX)处的平均干扰功率约束下,最小化允许与主用户(PU)共存的次用户(SU)的中断概率的最优发射功率分配问题,在SU-TX处具有量化的信道状态信息(CSI)(包括从SU-TX到SU-RX的信道,表示为$g_1$,以及从SU-TX到PU-RX的信道,表示为$g_0$)。矢量信道空间中的最优量化区域被示出为具有“逐步”结构。利用这种结构,上述中断最小化问题可以通过采用Karush-Kuhn-Tucker(KKT)必要最优性条件来明确地公式化和求解,以获得局部最优量化功率码本。针对反馈比特数较大的情况,推导出一种低复杂度的近优量化功率分配算法。还提供了一个显式表达式的渐近SU中断概率在高速率量化(反馈位数趋于无穷大),并示出近似的最佳中断行为非常好的反馈位数很大,通过数值模拟。数值结果还表明,与6比特的反馈,推导出的算法提供SU中断性能非常接近,在SU-TX与全CSI。

英文摘要:

We address an optimal transmit power allocation problem that minimizes the outage probability of a secondary user (SU) who is allowed to coexist with a primary user (PU) in a narrowband spectrum sharing cognitive radio network, under a long term average transmit power constraint at the secondary transmitter (SU-TX) and an average interference power constraint at the primary receiver (PU-RX), with quantized channel state information (CSI) (including both the channels from SU-TX to SU-RX, denoted as $g_1$ and the channel from SU-TX to PU-RX, denoted as $g_0$) at the SU-TX. The optimal quantization regions in the vector channel space is shown to have a 'stepwise' structure. With this structure, the above outage minimization problem can be explicitly formulated and solved by employing the Karush-Kuhn-Tucker (KKT) necessary optimality conditions to obtain a locally optimal quantized power codebook. A low-complexity near-optimal quantized power allocation algorithm is derived for the case of large number of feedback bits. An explicit expression for the asymptotic SU outage probability at high rate quantization (as the number of feedback bits goes to infinity) is also provided, and is shown to approximate the optimal outage behavior extremely well for large number of bits of feedback via numerical simulations. Numerical results also illustrate that with 6 bits of feedback, the derived algorithms provide SU outage performance very close to that with full CSI at the SU-TX.

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