Abstract:Spectrum map, which is the key to solve the shortage of spectrum resource, can be characterized by many dimensions such as geographical location, frequency, time, and signal strength. Spectrum statement such as frequency occupancy, idle time, and signal coverage can be viewed from the spectrum map. However, in practice, due to the influence of compressed sensing or the noise from the acquisition process, the collected spectrum data is incomplete. In this paper, we propose a joint prediction model and the spectrum tensor completion method to recover the missing data. Based on the Universal Software Radio Peripheral (USRP), we conduct an experiment to collect the real-world spectrum tensor data for simulation. The simulation results show that the combined method has an improved completion performance.
吴启晖,唐梦云. 基于张量补全的多维频谱地图构建[J]. 信号处理, 2017, 33(3A): 47-52.
WU Qi-hui,TANG Meng-yun. Multi-dimensional spectrum map construction based on tensor completion scheme. Journal of Signal Processing, 2017, 33(3A): 47-52.
Q.Li,HNiu,A. Papathanassiou,and G. Wu. 5G network capacity: Key elements and technologies[J].IEEE Vehicular Technology Magazine, 2014, 9(1):3129-3143
[2]
J.Mitola and GQ. Maguire. Cognitive radio: Making software radios more personal[J].IEEE Personal Communications, 1999, 6(4):13-18
[3]
G.Ding,QWu,Y. Yao,J. Wang,et al. Kernel-based learning for statistical signal processing in cognitive radio networks: Theoretical foundations,example applications,and future directions[J].IEEE Signal Processing Magazine, 2013, 30(4):126-136
[4]
G.Ding,JWang,Q. Wu,et al. Cellular base- station assisted device-to-device communications in TV white space[J].IEEE Journal on Selected Areas in Communications, 2016, 34(1):107-121
[5]
R.Murty,RChandra,T. Moscibroda,et al. Senseless: A database driven white spaces network[J].IEEE Transactions on Mobile Computing, 2012, 11(2):189-203
[6]
D. Romero, S. J. Kim, G. B. Giannakis, Online spectrum cartography via quantized measurements[C]. America: 50th Annual Conference on Information Sciences and Systems. 2015: 1-4.
[7]
S.Debroy,SBhattacharjee and M. Chatterjee. Spectrum map and its application in resource management in cognitive radio networks[J].IEEE Transactions on Cognitive Communications and Networking, 2016, 1(4):406-419
[8]
S.Sorour,YLostanlen,S. Valaee,et al. Joint indoor localization and radio map construction with limited deployment load[J].IEEE Transactions on Mobile Computing, 2015, 14(5):1031-1043
[9]
P.J. Basser,JMattiello,and D. LeBihan. MR diffusion tensor spectroscopy and imaging[J].Biophysical Journal, 1994, 66(1):259-259
[10]
D.Le Bihan,JF. Mangin,C. Poupon,et al. Diffusion tensor imaging: Concepts and applications[J].Journal of Magnetic Resonance Imaging, 2001, 13(4):534-546
[11]
A.Evrim,DM. Dunlavy,T. G. Kolda,et al. Scalable tensor factorizations for incomplete data[J].Chemometrics and Intelligent Laboratory Systems, 2011, 106(1):p-p
[12]
G.Tsagkatakis,BBeferull-Lozano,and P. Tsakalides. Singular spectrum-based matrix completion for time series recovery and prediction[J].EURASIP Journal on Advances in Signal Processing, 2016, 2016(1):1-1
[13]
C.F. Caiafa and ACichocki. Stable,robust,and super fast reconstruction of tensors using multi-way projections[J].IEEE Transactions on Signal Processing, 2015, 63(3):780-793
[14]
Q.Zhao,LZhang,and A. Cichocki. Bayesian CP factorization of incomplete tensors with automatic rank determination[J].IEEE Transactions on Pattern Analysis and Machine Intelligence, 2015, 37(9):1751-1763
[15]
J.Liu,PMusialski,P. Wonka,and J. Ye. Tensor completion for estimating missing values in visual data[J].IEEE Transactions on Pattern Analysis and Machine Intelligence, 2013, 35(1):208-220
[16]
M.Fazel, H. Hindi, and S. Boyd. A rank minimization heuristic with application to minimum order system approximation[C]. America: In American Control Conference, Proceedings of the 2001, 6: 4734-4739.
[17]
M.Aharon,MElad,and A. Bruckstein. SVD: An Algorithm for designing overcomplete dictionaries for sparse representation[J].IEEE Transactions on Signal Processing, 2006, 54(11):4311-4322
[18]
S.Ma,DGoldfarb,and L. Chen. Fixed point and bregman iterative methods for matrix rank minimization[J].Mathematical Programming, 2001, 128(1-2):321-353