Title

COLUMN MEAN VANISHING MATRICES

Authors

Myungsup Kim, Do Y. Kwak
Tunitel Co, Kwan Pyong Dong
Yusung-Ku, Daejeon, 34017, KOREA
Department of Mathematical Sciences
Korea Advanced Institute of Science and Technology
Daejeon, 34141, KOREA

Abstract

In this paper, we study some properties of a special class of matrices having orthonormal columns. These matrices appear in some applications, especially in wireless communications. We study the column property and spectral decomposition. Using these properties, we suggest a new method of generating such matrices. For even, the new method gives rise to a matrix which is more efficient. Numerical examples to compare two methods are included.

History

Received: November 15, 2016
Revised: April 25, 2017
Published: May 23, 2017

AMS Classification, Key Words

AMS Subject Classification: 65N15, 65N30, 35J60
Key Words and Phrases: orthogonal columns, column mean vanishing property, SVD

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Bibliography

1

Banerjee, Sudipto, Roy, and Anindya, Linear Algebra and Matrix Analysis for Statistics, Texts in Statistical Science, Chapman and Hall/CRC, 2014.

2

O. Edfors, M. Sandell, J. -J. van de Beek, and S. K. Wilson, OFDM channel estimation by singular value decomposition, IEEE Trans. Commun., vol. 46, pp. 931-939, July 1998.

3

Fleming Bjerge Frederiksen and Ramjee Prasad, An Overview of OFDM and Related Techniques Towards Development of Future Wireless Multimedia Communications, in Radio and Wireless Conference, RAWCON 2002, pp19-22, 2002.

4

Nicholas J. Higham, Computing the Polar Decomposition - With Applications, SIAM J. SCI. STAT. COMPUT. vol. 7, no. 4, Oct. 1986

5

Myungsup Kim and Do Young Kwak, Generalized OFDM, Submitted to IEEE Communications Letters.

6

Myungsup Kim and Do Young Kwak, Generalized OFDM for the 5th Generation Mobile Communications, Submitted to VCT2017.

7

Raed Meslehz, Hany Elgalaz, and Harald Haas, An Overview of Indoor OFDM/DMT Optical Communication Systems Networks and Digital Signal Processing, in SNDSP, pp. 566-570, 2010.

8

R.-C. Li., New Perturbation bounds for the polar factor, SIAM J. Matrix Anal. Appl. Vol. 16, No. 1, pp. 327-332, January 1995.

9

Ji-Guang Sun, A Note on Backward Perturbations for the Hermitian Eigenvalue Problem, pp. 385-393 of BIT 35 (1995).

How to Cite?

DOI: 10.12732/ijpam.v114i3.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 3
Pages: 457 - 471

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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