Remarks on the criteria of constructing MIMO-MAC DMT optimal codes

Francis Lu; Jyrki Lahtonen; Roope Vehkalahti; Camilla Hollanti

doi:10.1109/ITWKSPS.2010.5503180

Remarks on the criteria of constructing MIMO-MAC DMT optimal codes

Francis Lu^*, Jyrki Lahtonen, Roope Vehkalahti, Camilla Hollanti

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

Abstract

In this paper we investigate the criteria proposed by Coronel et at. for constructing MIMO MAC-DMT optimal codes over several classes of fading channels. We first show by a counterexample that their DMT result might not be correct when the channel has selective fading. For the case of symmetric MIMO-MAC flat fading channels, we study their criteria for constructing MAC-DMT optimal codes when the number of receive antennas is sufficiently large. We show their criterion is equivalent to requiring the codes of any subset of users to satisfy a joint non-vanishing determinant criterion when operating in the antenna pooling regime. Finally an upper bound on the product of minimum eigenvalues of the difference matrices is provided, and is used to show MIMO-MAC lattice codes satisfying their criterion exist only when the target multiplexing gain is small.

Original language	English
Title of host publication	IEEE Information Theory Workshop 2010, ITW 2010
DOIs	https://doi.org/10.1109/ITWKSPS.2010.5503180
State	Published - 27 Jul 2010
Event	IEEE Information Theory Workshop 2010, ITW 2010 - Cairo, Egypt Duration: 6 Jan 2010 → 8 Jan 2010

Publication series

Name	IEEE Information Theory Workshop 2010, ITW 2010

Conference

Conference	IEEE Information Theory Workshop 2010, ITW 2010
Country/Territory	Egypt
City	Cairo
Period	6/01/10 → 8/01/10

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10.1109/ITWKSPS.2010.5503180

Cite this

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title = "Remarks on the criteria of constructing MIMO-MAC DMT optimal codes",

abstract = "In this paper we investigate the criteria proposed by Coronel et at. for constructing MIMO MAC-DMT optimal codes over several classes of fading channels. We first show by a counterexample that their DMT result might not be correct when the channel has selective fading. For the case of symmetric MIMO-MAC flat fading channels, we study their criteria for constructing MAC-DMT optimal codes when the number of receive antennas is sufficiently large. We show their criterion is equivalent to requiring the codes of any subset of users to satisfy a joint non-vanishing determinant criterion when operating in the antenna pooling regime. Finally an upper bound on the product of minimum eigenvalues of the difference matrices is provided, and is used to show MIMO-MAC lattice codes satisfying their criterion exist only when the target multiplexing gain is small.",

author = "Francis Lu and Jyrki Lahtonen and Roope Vehkalahti and Camilla Hollanti",

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month = jul,

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language = "English",

isbn = "9781424463725",

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note = "IEEE Information Theory Workshop 2010, ITW 2010 ; Conference date: 06-01-2010 Through 08-01-2010",

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T1 - Remarks on the criteria of constructing MIMO-MAC DMT optimal codes

AU - Lu, Francis

AU - Lahtonen, Jyrki

AU - Vehkalahti, Roope

AU - Hollanti, Camilla

PY - 2010/7/27

Y1 - 2010/7/27

N2 - In this paper we investigate the criteria proposed by Coronel et at. for constructing MIMO MAC-DMT optimal codes over several classes of fading channels. We first show by a counterexample that their DMT result might not be correct when the channel has selective fading. For the case of symmetric MIMO-MAC flat fading channels, we study their criteria for constructing MAC-DMT optimal codes when the number of receive antennas is sufficiently large. We show their criterion is equivalent to requiring the codes of any subset of users to satisfy a joint non-vanishing determinant criterion when operating in the antenna pooling regime. Finally an upper bound on the product of minimum eigenvalues of the difference matrices is provided, and is used to show MIMO-MAC lattice codes satisfying their criterion exist only when the target multiplexing gain is small.

AB - In this paper we investigate the criteria proposed by Coronel et at. for constructing MIMO MAC-DMT optimal codes over several classes of fading channels. We first show by a counterexample that their DMT result might not be correct when the channel has selective fading. For the case of symmetric MIMO-MAC flat fading channels, we study their criteria for constructing MAC-DMT optimal codes when the number of receive antennas is sufficiently large. We show their criterion is equivalent to requiring the codes of any subset of users to satisfy a joint non-vanishing determinant criterion when operating in the antenna pooling regime. Finally an upper bound on the product of minimum eigenvalues of the difference matrices is provided, and is used to show MIMO-MAC lattice codes satisfying their criterion exist only when the target multiplexing gain is small.

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U2 - 10.1109/ITWKSPS.2010.5503180

DO - 10.1109/ITWKSPS.2010.5503180

M3 - Conference contribution

AN - SCOPUS:77954830645

SN - 9781424463725

T3 - IEEE Information Theory Workshop 2010, ITW 2010

BT - IEEE Information Theory Workshop 2010, ITW 2010

T2 - IEEE Information Theory Workshop 2010, ITW 2010

Y2 - 6 January 2010 through 8 January 2010

ER -

Remarks on the criteria of constructing MIMO-MAC DMT optimal codes

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