### Abstract

Similar to the conventional orthogonal frequency-division multiplexing (OFDM) system, an OFDM multiple access (OFDMA) system will have a carrier frequency offset (CFO) problem. Since CFOs of all users are different, CFO compensation in the OFDMA uplink system is much more involved. A simple, yet efficient, method is the zero-forcing (ZF) compensation method. However, it involves an inverse of an N x N CFO-induced ICI matrix, where N is the number of subcarriers. Thus, the complexity can become very high when N is large, a case commonly seen in OFDMA systems. In this work, we propose a low-complexity ZF method to overcome the problem. The main idea is to use Newton's method to solve matrix inversion iteratively. We explore the structure of the CFO-induced ICI matrix and develop a method that can implement Newton's method with fast Fourier transforms (FFTs). As a result, the required computational complexity is significantly reduced from O(N^{3}) to ο(2N log_{2} N). Simulations show that, with only three iterations, the proposed method can have similar performance to the direct ZF method.

Original language | English |
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Article number | 4657306 |

Pages (from-to) | 3657-3661 |

Number of pages | 5 |

Journal | IEEE Transactions on Wireless Communications |

Volume | 7 |

Issue number | 10 |

DOIs | |

State | Published - 1 Oct 2008 |

### Keywords

- Carrier frequency offset (CFO)
- Fast fourier transform (FFT)
- Intercarrier interference (ICI)
- Newton's method
- Orthogonal frequency-division multiple access (OFDMA)

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## Cite this

*IEEE Transactions on Wireless Communications*,

*7*(10), 3657-3661. [4657306]. https://doi.org/10.1109/T-WC.2008.070177