References.(Cyclic Division Algebras: A Tool for Space--Time
Coding)
[1] S. M. Alamouti, "A simple transmit diversity technique for
wireless communications," IEEE Journal on Selected Areas
Communications, vol. 16, pp. 1451-1458, October 1998.
[2] K. Azarian, H. El . . .
Acknowledgments.(Cyclic Division Algebras: A Tool for Space--Time
Coding)
This work was supported in part by the STREP project No. IST-026905
(MASCOT) within the Sixth Framework Program of the European . . .
6 New applications and conclusion.(Cyclic Division Algebras: A
Tool for Space--Time Coding)
In this last chapter, we briefly outline further research
directions involving perfect STBCs, namely generalization to wireless
networks and applications to coded modulations.
6.1 Coding for . . .
5 Perfect space--time block codes.(Cyclic Division Algebras: A
Tool for Space--Time Coding)
This chapter is devoted to the definition and construction of
perfect Space-Time block codes. We will now assemble the three preceding
chapters, using the algebraic techniques presented in Chapter . . .
4 Cyclic division algebras.(Cyclic Division Algebras: A Tool for
Space--Time Coding)
This chapter is devoted to the mathematical background necessary
for building codes from cyclic division algebras. While introducing the
definitions and results that we need, we keep in mind to . . .
3 An information theoretic perspective.(Cyclic Division Algebras:
A Tool for Space--Time Coding)
In this chapter, we will see that two main features are important,
to ensure the good performance of a coding scheme from an information
theoretic point of view: (i) reaching the . . .
2 The MIMO system model.(Cyclic Division Algebras: A Tool for
Space--Time Coding)(multiple-input multiple output)
2.1 Introduction
Multiple transmit and multiple receive antennas have emerged as a
promising technique for improving the performance of wireless digital
transmission systems [25, 58]. The limited . . .
1 Introduction.(Cyclic Division Algebras: A Tool for Space--Time
Coding)
Algebraic coding has played an important role since the early age
of coding theory. Error correcting codes for the binary symmetric
channel were designed using fnite felds and codes for the . . .
Cyclic division algebras: a tool for space--time coding.(Brief
article)
Abstract
Multiple antennas at both the transmitter and receiver ends of a
wireless digital transmission channel may increase both data rate and
reliability. Reliable high rate transmission over . . .
References.(Majorization and Matrix-Monotone Functions in
Wireless Communications)
[1] M. Abramowitz and I. A. Stegun, Handbook of Mathematical
Functions. Dover Publications, 1970.
[2] N. Ahmed and R. G. Baraniuk, "Throughput measures for
delay-constrained communications in . . .
7 Acknowledgments.(Majorization and Matrix-Monotone Functions in
Wireless Communications)
Part of the content of this book was presented during lectures at
the Technische Universitat Berlin, Germany, within the course
"Applied Information Theory" from 2005-2007, at the Royal
Institute . . .
6 Appendix.(Majorization and Matrix-Monotone Functions in
Wireless Communications)
6.1 Linear Algebra
Most of the material can be found in [50, 51]. Since this section
contributes basic results, the proofs are omitted.
Proposition 6.1 (Singular value decomposition). Every . . .
5 Application of matrix-monotone functions in wireless
communications.(Majorization and Matrix-Monotone Functions in Wireless
Co
5.1 Generalized Multiple Antenna Performance Measures
Multiple-antennas can improve the spectral efficiency and
reliability in wireless communications systems. In recent years, it was
discovered . . .
4 Application of majorization in wireless
communications.(Majorization and Matrix-Monotone Functions in Wireless
Communications)
4.1 Spatial Correlation in Multiple Antenna Systems
Recently, there is a transition in communication theory of how
fading variations are judged. The time variation and spectral variation
of the . . .
3 Matrix-monotone functions.(Majorization and Matrix-Monotone
Functions in Wireless Communications)
The last chapter discussed a certain partial order for vectors
Majorization end characterized the order preserving functions
Schur-convex and Schur-concave functions. This chapter will propose . . .
2 Majorization theory.(Majorization and Matrix-Monotone Functions
in Wireless Communications)
A total order is a binary relation on a set X. It is antisymmetric,
transitive, and total. For example, the set of real numbers R can be
totally ordered by the order relation less than < and . . .
1 Introduction.(Majorization and Matrix-Monotone Functions in
Wireless Communications)
This short tutorial presents two mathematical techniques namely
Majorization Theory and Matrix-Monotone Functions which are applied to
solve communication and information theoretic problems in . . .
Majorization and matrix-monotone functions in wireless
communications.
Abstract
This short tutorial presents two mathematical techniques namely
Majorization Theory and Matrix-Monotone Functions, reviews their basic
definitions and describes their concepts clearly . . .
References.(MIMO Transceiver Design via Majorization
Theory)
[1] S. M. Alamouti, "A simple transmit diversity technique for
wireless communications," IEEE Journal on Selected Areas in
Communications, vol. 16, no. 8, pp. 1451-1458, October 1998.
[2] N. . . .
Acknowledgments.(MIMO Transceiver Design via Majorization
Theory)
Daniel P. Palomar would like to thank his Ph.D. advisor, Miguel
Angel Lagunas, and his mentor at Stanford University, John Cioffi, for
their inspiring support at a time when he was starting an . . .
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