Closed-form expressions for the symbol error probability of 3-D OFDM

Author

Chen, Zhenxing ; Choi, Eun Chang ; Kang, Seog Geun

Author_Institution

Sch. of Electr. & Electron. Eng., Gyeongsang Nat. Univ., Jinju, South Korea

Volume

14

Issue

2

fYear

2010

fDate

2/1/2010 12:00:00 AM

Firstpage

112

Lastpage

114

Abstract

In this letter, closed-form expressions for the symbol error probability of 3-D orthogonal frequency division multiplexing in additive white Gaussian noise channel are derived. When a 3-D 4-ary constellation is used as signal mapper, we calculate the upper and the lower bound for the error probability, and also provide its approximation. Since decision boundaries of 8- ary constellation form an extended regular hexahedron, an exact symbol error probability can be computed. It is verified that the theoretical error probabilities are very close to or almost the same as simulation results.

Keywords

AWGN channels; OFDM modulation; error statistics; 3D 4-ary constellation; 3D OFDM; 3D orthogonal frequency division multiplexing; 8-ary constellation; additive white Gaussian noise channel; closed-form expressions; decision boundary; extended regular hexahedron; signal mapper; symbol error probability; theoretical error probability; Additive white noise; Closed-form solution; Computational modeling; Constellation diagram; Error probability; Iterative algorithms; OFDM modulation; Quadrature amplitude modulation; Signal design; Signal mapping; Orthogonal frequency division multiplexing (OFDM), 3-D signal constellation, symbol error probability, wireless communications;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2010.02.091347

Filename

5403604