BER of OFDM systems impaired by carrier frequency offset in multipath fading channels

• Published in: IEEE transactions on wireless communications Vol. 4; no. 5; pp. 2279 - 2288
• Main Authors: Rugini, L., Banelli, P.
• Format: Journal Article
• Language: English
• Published: Piscataway, NJ IEEE 01.09.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Amplifiers; Analytical models; Applied sciences; Bit error rate; Carrier frequencies; Carrier frequency offset (CFO); Channels; Error probability; Exact sciences and technology; Fading; fading channels; Gaussian approximation; Integrals; Interference; Mathematical analysis; nonlinear amplifiers; OFDM; Offsets; Orthogonal Frequency Division Multiplexing; orthogonal frequency-division multiplexing (OFDM); Quadrature amplitude modulation; Rayleigh channels; Rician channels; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Wireless communication; Fading channels; Quadrature amplitude modulation; Error probability; Bit error rate; Generalized function; Rayleigh channels; Intercarrier interference; Rice fading; Multipath channels; Gaussian process; Frequency selection; Carrier frequency; Simulation; Analytical method; Series expansion; Orthogonal frequency division multiplexing; Carrier frequency offset (CFO); Frequency offset; Rayleigh fading; nonlinear amplifiers; orthogonal frequency-division multiplexing (OFDM)
• ISSN: 1536-1276; 1558-2248
• DOI: 10.1109/TWC.2005.853884

We introduce an analytical approach to evaluate the error probability of orthogonal frequency-division-multiplexing (OFDM) systems subject to carrier frequency offset (CFO) in frequency-selective channels, characterized by Rayleigh or Rician fading. By properly exploiting the Gaussian approximation of the intercarrier interference (ICI), we show that the bit-error rate (BER) for an uncoded OFDM system with quadrature amplitude modulation (QAM) can be expressed by the sum of a few integrals, whose number depends on the constellation size. Each integral can be evaluated numerically, or, in Rayleigh fading, by using a series expansion that involves generalized hypergeometric functions. Simulation results illustrate that the theoretical analysis is quite accurate, especially for Rayleigh channels, and also with nonlinear amplifiers.