- Research Article
- Open Access
A Hub Matrix Theory and Applications to Wireless Communications
EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 013659 (2007)
This paper considers communications and network systems whose properties are characterized by the gaps of the leading eigenvalues of for a matrix. It is shown that a sufficient and necessary condition for a large eigen-gap is that is a "hub" matrix in the sense that it has dominant columns. Some applications of this hub theory in multiple-input and multiple-output (MIMO) wireless systems are presented.
Tse D, Viswanath P: Fundamentals of Wireless Communication. Cambridge University Press, Cambridge, UK; 2005.
Kleinberg JM: Authoritative sources in a hyperlinked environment. Proceedings of the 9th Annual ACM-SIAM Symposium on Discrete Algorithms, January 1998, San Francisco, Calif, USA 668–677.
Kung HT, Wu C-H: Differentiated admission for peer-to-peer systems: incentivizing peers to contribute their resources. Workshop on Economics of Peer-to-Peer Systems, June 2003, Berkeley, Calif, USA
O'Leary DP, Stewart GW: Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. Journal of Computational Physics 1990,90(2):497-505. 10.1016/0021-9991(90)90177-3
Horn RA, Johnson CR: Matrix Analysis. Cambridge University Press, Cambridge, UK; 1985.
Love DJ, Heath RW Jr.: Equal gain transmission in multiple-input multiple-output wireless systems. IEEE Transactions on Communications 2003,51(7):1102-1110. 10.1109/TCOMM.2003.814195
Love DJ, Heath RW Jr.: Corrections to "Equal gain transmission in multiple-input multiple-output wireless systems". IEEE Transactions on Communications 2003,51(9):1613. 10.1109/TCOMM.2003.818386
Meyer CD: Matrix Analysis and Applied Linear Algebra. SIAM, Philadelphia, Pa, USA; 2000.
Tse C-H, Yip K-W, Ng T-S: Performance tradeoffs between maximum ratio transmission and switched-transmit diversity. Proceedings of the 11th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC '00), September 2000, London, UK 2: 1485–1489.
Love DJ, Heath RW Jr., Strohmer T: Grassmannian beamforming for multiple-input multiple-output wireless systems. IEEE Transactions on Information Theory 2003,49(10):2735-2747. 10.1109/TIT.2003.817466
Murthy C, Rao BD: On antenna selection with maximum ratio transmission. Conference Record of the 37th Asilomar Conference on Signals, Systems and Computers, November 2003, Pacific Grove, Calif, USA 1: 228–232.
Molisch AF, Win MZ, Winter JH: Reduced-complexity transmit/receive-diversity systems. IEEE Transactions on Signal Processing 2003,51(11):2729-2738. 10.1109/TSP.2003.818211
Young RM: An Introduction to Nonharmonic Fourier Series. Academic Press, New York, NY, USA; 1980.
Sebe N: Diagonal dominance and integrity. Proceedings of the 35th IEEE Conference on Decision and Control, December 1996, Kobe, Japan 2: 1904–1909.
About this article
Cite this article
Kung, H.T., Suter, B.W. A Hub Matrix Theory and Applications to Wireless Communications. EURASIP J. Adv. Signal Process. 2007, 013659 (2007). https://doi.org/10.1155/2007/13659
- Information Technology
- Wireless Communication
- Quantum Information
- Matrix Theory
- Network System