Generalized BER Analysis of Arbitrary Rectangular QAM 


Vol. 27,  No. 10, pp. 962-968, Oct.  2002


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  Abstract

Reliable high-speed data communications over insufficient channel bandwidth is one of the major challenges of harsh wireless environments that push the achievable spectral efficiency far below its theoretical limits. A Quadrature amplitude modulation (QAM) scheme is a useful modulation technique for achieving high data rate transmisson without increasing the bandwidth of wireless communication systems
The exact general bit error rate (BER) expression of arbitrary rectangular quadrature amplitude modulation has not yet been derived. In this paper, a generalized closed-form expression for the BER performance of rectangular QAM with Gray code bit mapping is derived and analyzed in the presence of additive white Gaussian noise (AWGN) channel. First we analyze the BER performance of an I-ary PAM scheme. Regular patterns in the k-th bit error probability are observed while developing the BER expression. From these patterns we provide the exact and general closed-form BER expression of an I-ary PAM. Then we present a general closed-form expression for BER of an arbitrary IXJ rectangular QAM by considering that this signaling format consists of two PAM scheme, i.e., I-ary and J-ary PAM. A simple approximate BER expression for rectangular QAM is given as well.

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  Cite this article

[IEEE Style]

D. Yoon, K. Cho, K. Suh, "Generalized BER Analysis of Arbitrary Rectangular QAM," The Journal of Korean Institute of Communications and Information Sciences, vol. 27, no. 10, pp. 962-968, 2002. DOI: .

[ACM Style]

Dongweon Yoon, Kyongkuk Cho, and Kibum Suh. 2002. Generalized BER Analysis of Arbitrary Rectangular QAM. The Journal of Korean Institute of Communications and Information Sciences, 27, 10, (2002), 962-968. DOI: .

[KICS Style]

Dongweon Yoon, Kyongkuk Cho, Kibum Suh, "Generalized BER Analysis of Arbitrary Rectangular QAM," The Journal of Korean Institute of Communications and Information Sciences, vol. 27, no. 10, pp. 962-968, 10. 2002.