Robust spectrum sensing algorithm based on free probability theory
Robust spectrum sensing algorithm based on free probability theory
复制标题
基于自由概率论的鲁棒频谱感知算法
DOI：
10.1002/wcm.2641
复制
发表时间：
2016-09
影响因子：
--
通讯作者：
Zheng, Baoyu
中科院分区：
文献类型：
--
作者：
Wang, Lei;Chen, Jianxin;Jiang, Guoping;Zheng, Baoyu
在低信噪比信噪比情况下，频谱感知算法的性能不能满足实际需要，这是当前认知无线电领域频谱感知技术面临的主要问题。现有的基于随机矩阵理论的RMT算法虽然具有较高的检测性能，但需要大量的样本，在实际应用中很难满足。自由概率论FPT是RMT的一个主要分支。它描述了大型随机矩阵的渐进行为，并描绘了两个矩阵及其和或积矩阵之间的强联系。FPT还可以应用于可以用随机矩阵建模的数字通信系统中，并已应用于简化的理想信道中的频谱感知，例如加性白色高斯噪声信道。基于FPT的方法最关键和最困难的问题是建立和求解对应于特定通信模型的渐近自由度方程。本文针对多输入多输出系统、瑞利多径衰落系统和正交频分复用系统等典型无线通信系统，提出了基于FPT的频谱感知方案。研究表明，随机矩阵的渐近自由性和Wishart分布的性质可以用于低信噪比和样本量有限的典型系统的频谱感知。仿真结果表明，与现有的基于RMT的谱检测方法（如最大和最小特征值检测器）相比，本文提出的基于FPT的谱检测方法具有上级检测性能，并且对低信噪比情况具有更强的鲁棒性，尤其是在小样本观测情况下。版权所有© 2015约翰威利父子有限公司.
In low signal-to-noise ratio SNR cases, the performance of spectrum sensing algorithms cannot meet the practical needs, which is a major problem faced by spectrum sensing technology in current cognitive radio field. Now, existing algorithms based on random matrix theory RMT have high sensing performance, but they require a large number of samples, which are very difficult to satisfy in practice. Free probability theory FPT is a main branch of RMT. It describes the asymptotic behavior of large random matrices and portrays a strong link between two matrices and their sum or product matrices. FPT can also be utilized to the digital communication system that can be modeled by random matrices and has been applied to spectrum sensing in simplified ideal channels, for example, additive white Gaussian noise channel. The most pivotal issue and difficulty of the FPT-based methods is to set up and solve the asymptotic freeness equation corresponding to a specific communication model. In this paper, FPT-based spectrum sensing schemes are proposed for some typical wireless communication systems, such as multiple-input multiple-output system, Rayleigh multipath fading system, and orthogonal frequency division multiplexing system. It is shown that the asymptotic freeness behavior of random matrices and the property of Wishart distribution can be used to assist spectrum sensing for these typical systems with low SNR and very limited samples. Simulation results demonstrate that compared with the existing RMT-based spectrum detection methods, for example, the maximum and minimum eigenvalue detectors, the proposed FPT-based schemes offer superior detection performance and are more robust to low SNR cases, especially for a small sample of observations. Copyright © 2015 John Wiley & Sons, Ltd.
登录
查看更多内容
DOI：
--
发表时间：
2010-06
期刊：
2010 Future Network & Mobile Summit
影响因子：
--
作者：
J. Monserrat;Paweł Sroka;G. Auer;J. Cabrejas;David Martín-Sacristán;A. Mihovska;Roberto Rossi;A. Saul;R. Schoenen
通讯作者：
J. Monserrat;Paweł Sroka;G. Auer;J. Cabrejas;David Martín-Sacristán;A. Mihovska;Roberto Rossi;A. Saul;R. Schoenen
影响因子：
8.6
作者：
J. Monserrat;G. Auer;David Martín-Sacristán;Paweł Sroka
通讯作者：
J. Monserrat;G. Auer;David Martín-Sacristán;Paweł Sroka
DOI：
10.1109/camad.2012.6335312
发表时间：
2012-10
期刊：
2012 IEEE 17th International Workshop on Computer Aided Modeling and Design of Communication Links and Networks (CAMAD)
影响因子：
--
作者：
S. Althunibat;S. Narayanan;M. Renzo;F. Granelli
通讯作者：
S. Althunibat;S. Narayanan;M. Renzo;F. Granelli
DOI：
--
发表时间：
2006-09
期刊：
--
影响因子：
--
作者：
A. Nica;R. Speicher
通讯作者：
A. Nica;R. Speicher
DOI：
10.1109/pimrc.2007.4394211
发表时间：
2007-12
期刊：
2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications
影响因子：
--
作者：
Yonghong Zeng;Ying-Chang Liang
通讯作者：
Yonghong Zeng;Ying-Chang Liang