概率反馈动态频谱分配策略及性能分析

doi:10.11959/j.issn.1000-436x.2015170

Abstract

Abstract:

By introducing probabilistic feedback mechanism and energy detection threshold to cognitive radio networks,a novel dynamic spectrum allocation strategy is proposed to trade off the throughput and average delay of secondary users,as well as meet various network requirements.Considering the imperfect sensing results of secondary users,a kind of priority queueing model is established,in which two classes of users may interfere with each other,then the state transition probability matrix is constructed.Employing the method of matrix-geometric solution,the stationary distribution of system model is derived.Accordingly,the expressions for the performance measures in terms of channel utilization,throughput of secondary users,average delay of secondary users and interference ratio of primary users are given.With numerical experiments and system simulations,the effectiveness of the proposed dynamic spectrum allocation strategy is verified.Finally,the optimal design of energy detection threshold is provided.

Key words: cognitive radio networks, dynamic spectrum allocation strategy, probabilistic feedback, imperfect sensing, priority queueing model

Shun-fu JIN,Shi-ying GE,Zhan-qiang HUO. Dynamic spectrum allocation strategy with probabilistic feedback mechanism and performance analysis[J]. Journal on Communications, 2015, 36(7): 10-17.

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参数名称	参数值
时隙/ms	1
物理层数据速率/Mbit·s^?1	11
认知用户数据分组达到率	0.1
认知用户数据分组大小的均值/byte	1 760
认知用户数量/个	3×10⁶
授权用户数据分组到达率	0.1
授权用户数据分组大小的均值/byte	2 010
授权用户数量/个	3×10⁶
反馈概率	0～1.0
能量检测阈值	1.0～5.0
仿真时间/时隙	3×10⁶

检测阈值τ	反馈概率q=0		反馈概率q=0.25		反馈概率q=0.5		反馈概率q=0.75		反馈概率q=1
检测阈值τ	理论值	仿真值	理论值	仿真值	理论值	仿真值	理论值	仿真值	理论值	仿真值
1.0	3.370 7	3.365 3	3.452 9	3.451 8	3.539 2	3.558 9	3.630 2	3.631 4	3.726 5	3.718 6
1.5	2.270 2	2.273 8	2.312 1	2.314 8	2.355 0	2.370 0	2.399 0	2.400 1	2.444 1	2.444 3
2.0	1.829 5	1.828 2	1.854 1	1.859 9	1.879 0	1.883 8	1.904 2	1.902 7	1.929 8	1.927 0
2.5	1.644 5	1.647 7	1.660 7	1.660 1	1.676 9	1.681 9	1.693 2	1.694 2	1.709 7	1.708 2
3.0	1.570 1	1.573 1	1.582 4	1.581 8	1.594 7	1.594 7	1.607 1	1.606 1	1.619 5	1.616 5
3.5	1.542 7	1.544 6	1.553 4	1.551 8	1.564 1	1.563 5	1.574 9	1.571 8	1.585 6	1.584 1
4.0	1.532 8	1.534 9	1.542 8	1.540 0	1.552 8	1.552 2	1.562 9	1.558 2	1.572 9	1.571 4
4.5	1.528 0	1.528 7	1.537 6	1.533 2	1.547 2	1.546 0	1.556 8	1.554 1	1.566 4	1.563 8
5.0	1.524 3	1.523 8	1.533 5	1.531 7	1.542 6	1.542 6	1.551 8	1.551 6	1.561 1	1.557 7

检测阈值τ	反馈概率q=0		反馈概率q=0.25		反馈概率q=0.5		反馈概率q=0.75		反馈概率q=1
检测阈值τ	理论值	仿真值	理论值	仿真值	理论值	仿真值	理论值	仿真值	理论值	仿真值
1.0	0.010 3	0.010 2	0.010 6	0.010 8	0.010 9	0.010 9	0.011 3	0.011 6	0.011 7	0.011 8
1.5	0.010 6	0.010 7	0.010 8	0.011 2	0.011 1	0.011 3	0.011 3	0.011 5	0.011 6	0.012 0
2.0	0.011 9	0.011 5	0.012 1	0.012 2	0.012 4	0.012 3	0.012 6	0.012 8	0.012 8	0.013 4
2.5	0.014 2	0.013 9	0.014 4	0.014 5	0.014 6	0.014 5	0.014 8	0.014 6	0.015 0	0.015 1
3.0	0.017 3	0.017 5	0.017 5	0.017 7	0.017 8	0.017 9	0.018 0	0.017 9	0.018 2	0.018 0
3.5	0.021 2	0.021 3	0.021 5	0.021 7	0.021 8	0.021 7	0.022 0	0.021 9	0.022 3	0.022 5
4.0	0.025 9	0.026 3	0.026 2	0.026 5	0.026 5	0.026 7	0.026 8	0.026 8	0.027 1	0.027 6
4.5	0.031 2	0.031 5	0.031 5	0.031 6	0.031 9	0.032 1	0.032 2	0.032 4	0.032 6	0.032 5
5.0	0.037 1	0.037 1	0.037 5	0.037 1	0.037 9	0.037 8	0.038 3	0.038 1	0.038 7	0.039 5

反馈概率q	系统最大收益R_max	最优检测阈值τ^*
0	3.647	2.85
0.25	3.668	2.80
0.50	3.691	2.70
0.75	3.715	2.65
1.00	3.741	2.55

Dynamic spectrum allocation strategy with probabilistic feedback mechanism and performance analysis

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