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## The Convex Geometry of Subchannel Attenuation Coefficients in Linearly Precoded OFDM Systems

Citations: | 2 - 2 self |

### Citations

5217 | Convex analysis
- Rockafellar
- 1970
(Show Context)
Citation Context ...puter Science, A. Barg and S. Litsyn, Eds., Nov. 1999, vol. 56, pp. 97–109. [11] T. W. Haynes, S. T. Hedetniemi, and P. J. Slater, Fundamentals of Domination in Graphs. New York: Marcel Dekker, 1998. =-=[12]-=- G. Cohen, I. Honkala, S. Litsyn, and A. Lobstein, Covering Codes. Amsterdam, The Netherlands: Elsevier, 1997. The Convex Geometry of Subchannel Attenuation Coefficients in Linearly Precoded OFDM Syst... |

1635 |
Microwave Mobile Communications
- Jakes
- 1974
(Show Context)
Citation Context ...DM) framework [1], [6], [7], [11]. An OFDM framework is the first line of defense against distortions caused by wireless communication channels because it converts frequency-selective fading channels =-=[5]-=-, [13] into a series of independent, frequency flat-fading subchannels. This limits the instantaneous data loss to only those symbols transmitted over subchannels currently experiencing deep fades. Si... |

210 |
Introduction to Stochastic Control Theory.
- Astrom
- 1970
(Show Context)
Citation Context ...and only if it is an element of the real vector space span f1; cos!; cos 2!; . . . ; cos(L1)!; sin!; . . . ; sin(L1)!g and is everywhere nonnegative (8!; (!) 0). Proof: This is a standard result =-=[2]-=-; one direction follows immediately by expanding (8) and the other is a consequence of the spectral representation theorem. Theorem 2: The setS, defined in (9), is a compact convex set whose convex di... |

192 |
Synthesis of band-limited orthogonal signals for multi-channel data transmission
- Chang
- 1966
(Show Context)
Citation Context ...er of fundamental results contributing to this understanding. In doing so, the natural geometry of OFDM systems is also uncovered. To facilitate further discussion, consider the following OFDM system =-=[3]-=-, [14], [17], [6] which uses frames of length n and a cyclic prefix of length L 1, where L is the length of the FIR channel h 2 L over which the OFDM system operates. Due to the cyclic prefix, it is... |

144 | BData transmission by frequency division multiplexing using the discrete Fourier transform
- Weinstein, Ebert
- 1971
(Show Context)
Citation Context ...mental results contributing to this understanding. In doing so, the natural geometry of OFDM systems is also uncovered. To facilitate further discussion, consider the following OFDM system [3], [14], =-=[17]-=-, [6] which uses frames of length n and a cyclic prefix of length L 1, where L is the length of the FIR channel h 2 L over which the OFDM system operates. Due to the cyclic prefix, it is necessary f... |

119 | Coded Orthogonal Frequency Division Multiplex
- Floch, Alard, et al.
- 1995
(Show Context)
Citation Context ...lex (OFDM), spectral nulls, worst case performance. I. INTRODUCTION The European digital audio broadcasting (DAB) standard is based on an orthogonal frequency-division multiplex (OFDM) framework [1], =-=[6]-=-, [7], [11]. An OFDM framework is the first line of defense against distortions caused by wireless communication channels because it converts frequency-selective fading channels [5], [13] into a serie... |

110 |
BPerformance of an efficient parallel data transmission system
- Saltzberg
- 1967
(Show Context)
Citation Context ... fundamental results contributing to this understanding. In doing so, the natural geometry of OFDM systems is also uncovered. To facilitate further discussion, consider the following OFDM system [3], =-=[14]-=-, [17], [6] which uses frames of length n and a cyclic prefix of length L 1, where L is the length of the FIR channel h 2 L over which the OFDM system operates. Due to the cyclic prefix, it is neces... |

97 |
Principles of Modulation and Channel Coding for Digital Broadcasting for Mobile Receivers
- Alard, Lassalle
- 1987
(Show Context)
Citation Context ...ultiplex (OFDM), spectral nulls, worst case performance. I. INTRODUCTION The European digital audio broadcasting (DAB) standard is based on an orthogonal frequency-division multiplex (OFDM) framework =-=[1]-=-, [6], [7], [11]. An OFDM framework is the first line of defense against distortions caused by wireless communication channels because it converts frequency-selective fading channels [5], [13] into a ... |

77 |
Convex Analysis and Global Optimization
- Tuy
- 1998
(Show Context)
Citation Context ... 0]T . This result is derived by studying the geometry of the subchannel attenuation coefficients (h). It is proved that the set of all (h) with khk2 = 1 is convex, and moreover, its extreme points =-=[16]-=- are a subset of the set of all (h) with the channel h having L 1 spectral nulls. It is 0018-9448/02$17.00 © 2002 IEEE 1204 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 48, NO. 5, MAY 2002 also pr... |

35 |
Giannakis, “Filterbanks for blind channel identification and equalization
- B
- 1997
(Show Context)
Citation Context ...the frequencies at which these deep fades occur cannot be known by the transmitter, it is necessary to code each symbol over a number of subchannels. One way of doing this is to use a linear precoder =-=[4]-=-, [15], and indeed, it is proved in [10] that a large class of linear precoders spread the spectrum of the source symbols in a well-defined manner. The role of the linear precoder is to reduce the eff... |

33 |
Redundant filterbank precoders and equalizers—Part I: Unification and optimal designs
- Scaglione, Giannakis, et al.
- 1988
(Show Context)
Citation Context ...requencies at which these deep fades occur cannot be known by the transmitter, it is necessary to code each symbol over a number of subchannels. One way of doing this is to use a linear precoder [4], =-=[15]-=-, and indeed, it is proved in [10] that a large class of linear precoders spread the spectrum of the source symbols in a well-defined manner. The role of the linear precoder is to reduce the effects o... |

29 |
Digital sound broadcasting to mobile receivers
- Floch, Halbert-Lassalle, et al.
- 1989
(Show Context)
Citation Context ...OFDM), spectral nulls, worst case performance. I. INTRODUCTION The European digital audio broadcasting (DAB) standard is based on an orthogonal frequency-division multiplex (OFDM) framework [1], [6], =-=[7]-=-, [11]. An OFDM framework is the first line of defense against distortions caused by wireless communication channels because it converts frequency-selective fading channels [5], [13] into a series of ... |

14 |
Multipath fading channel models for microwave digital radio
- Rummler, Coutts, et al.
- 1986
(Show Context)
Citation Context ...ramework [1], [6], [7], [11]. An OFDM framework is the first line of defense against distortions caused by wireless communication channels because it converts frequency-selective fading channels [5], =-=[13]-=- into a series of independent, frequency flat-fading subchannels. This limits the instantaneous data loss to only those symbols transmitted over subchannels currently experiencing deep fades. Since, i... |

10 |
A frequency domain deterministic approach to channel identification
- Manton, Hua
- 1999
(Show Context)
Citation Context ...es occur cannot be known by the transmitter, it is necessary to code each symbol over a number of subchannels. One way of doing this is to use a linear precoder [4], [15], and indeed, it is proved in =-=[10]-=- that a large class of linear precoders spread the spectrum of the source symbols in a well-defined manner. The role of the linear precoder is to reduce the effects of fading. One way of measuring its... |

8 | Dissecting OFDM: the independent roles of the cyclic preHx and the IDFT operation
- Manton
- 2001
(Show Context)
Citation Context ...o the inverse discrete Fourier transform operation performed by an OFDM system, implying that the only restriction in studying an OFDM system is the compulsory cyclic prefix. However, it is proved in =-=[9]-=- that a cyclic prefix is the most efficient way of ensuring that channels with unstable inverses can be inverted accurately, a consequence of the fact that a cyclic prefix ensures that the Cramer–Rao ... |

7 |
BDirections in audio broadcasting
- Mueller-Roemer
- 1993
(Show Context)
Citation Context ...ings of the DIMACS Workshop on Codes and Association Schemes, ser. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, A. Barg and S. Litsyn, Eds., Nov. 1999, vol. 56, pp. 97–109. =-=[11]-=- T. W. Haynes, S. T. Hedetniemi, and P. J. Slater, Fundamentals of Domination in Graphs. New York: Marcel Dekker, 1998. [12] G. Cohen, I. Honkala, S. Litsyn, and A. Lobstein, Covering Codes. Amsterdam... |