The search functionality is under construction.

The search functionality is under construction.

Multiple-input multiple-output (MIMO) maximum-SNR (max-SNR) system employs the maximum ratio combiner (MRC) at the receiver side and the maximum ratio transmitter (MRT) at the transmitter side. Its performances highly depend on MIMO channel characteristics, which vary according to both the number of antennas and their distribution between the transmitter and receiver sides. By using the decomposition of the ordered Wishart distribution in the uncorrelated Rayleigh case, we derived a closed-form expression of the largest eigenvalue probability density function (PDF). The final result yields to an expression form of the PDF where polynomials are multiplied by exponentials; it is worth underlining that, though this form had been previously observed for given couples of antennas, to date no formally-written closed-form was available in the literature for an arbitrary couple. Then, this new expression permits one to quickly and easily get the well known largest eigenvalue PDF and use it to determine the binary error probability (BEP) of the max-SNR.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.7 pp.1791-1796

- Publication Date
- 2008/07/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1093/ietfec/e91-a.7.1791

- Type of Manuscript
- PAPER

- Category
- Communication Theory and Signals

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

Copy

Jonathan LETESSIER, Baptiste VRIGNEAU, Philippe ROSTAING, Gilles BUREL, "New Closed-Form of the Largest Eigenvalue PDF for Max-SNR MIMO System Performances" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 7, pp. 1791-1796, July 2008, doi: 10.1093/ietfec/e91-a.7.1791.

Abstract: Multiple-input multiple-output (MIMO) maximum-SNR (max-SNR) system employs the maximum ratio combiner (MRC) at the receiver side and the maximum ratio transmitter (MRT) at the transmitter side. Its performances highly depend on MIMO channel characteristics, which vary according to both the number of antennas and their distribution between the transmitter and receiver sides. By using the decomposition of the ordered Wishart distribution in the uncorrelated Rayleigh case, we derived a closed-form expression of the largest eigenvalue probability density function (PDF). The final result yields to an expression form of the PDF where polynomials are multiplied by exponentials; it is worth underlining that, though this form had been previously observed for given couples of antennas, to date no formally-written closed-form was available in the literature for an arbitrary couple. Then, this new expression permits one to quickly and easily get the well known largest eigenvalue PDF and use it to determine the binary error probability (BEP) of the max-SNR.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.7.1791/_p

Copy

@ARTICLE{e91-a_7_1791,

author={Jonathan LETESSIER, Baptiste VRIGNEAU, Philippe ROSTAING, Gilles BUREL, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={New Closed-Form of the Largest Eigenvalue PDF for Max-SNR MIMO System Performances},

year={2008},

volume={E91-A},

number={7},

pages={1791-1796},

abstract={Multiple-input multiple-output (MIMO) maximum-SNR (max-SNR) system employs the maximum ratio combiner (MRC) at the receiver side and the maximum ratio transmitter (MRT) at the transmitter side. Its performances highly depend on MIMO channel characteristics, which vary according to both the number of antennas and their distribution between the transmitter and receiver sides. By using the decomposition of the ordered Wishart distribution in the uncorrelated Rayleigh case, we derived a closed-form expression of the largest eigenvalue probability density function (PDF). The final result yields to an expression form of the PDF where polynomials are multiplied by exponentials; it is worth underlining that, though this form had been previously observed for given couples of antennas, to date no formally-written closed-form was available in the literature for an arbitrary couple. Then, this new expression permits one to quickly and easily get the well known largest eigenvalue PDF and use it to determine the binary error probability (BEP) of the max-SNR.},

keywords={},

doi={10.1093/ietfec/e91-a.7.1791},

ISSN={1745-1337},

month={July},}

Copy

TY - JOUR

TI - New Closed-Form of the Largest Eigenvalue PDF for Max-SNR MIMO System Performances

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 1791

EP - 1796

AU - Jonathan LETESSIER

AU - Baptiste VRIGNEAU

AU - Philippe ROSTAING

AU - Gilles BUREL

PY - 2008

DO - 10.1093/ietfec/e91-a.7.1791

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E91-A

IS - 7

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - July 2008

AB - Multiple-input multiple-output (MIMO) maximum-SNR (max-SNR) system employs the maximum ratio combiner (MRC) at the receiver side and the maximum ratio transmitter (MRT) at the transmitter side. Its performances highly depend on MIMO channel characteristics, which vary according to both the number of antennas and their distribution between the transmitter and receiver sides. By using the decomposition of the ordered Wishart distribution in the uncorrelated Rayleigh case, we derived a closed-form expression of the largest eigenvalue probability density function (PDF). The final result yields to an expression form of the PDF where polynomials are multiplied by exponentials; it is worth underlining that, though this form had been previously observed for given couples of antennas, to date no formally-written closed-form was available in the literature for an arbitrary couple. Then, this new expression permits one to quickly and easily get the well known largest eigenvalue PDF and use it to determine the binary error probability (BEP) of the max-SNR.

ER -