Efficient Cross-Correlation Algorithm for Correction of Common Phase Error Employing Preamble for Orthogonal Frequency Division Multiplexing (OFDM) Receivers


In this paper, we propose a cross-correlation algorithm for correction of common phase error (CPE) in orthogonal frequency division multiplexing (OFDM) systems with high implementation efficiency. CPE resulting from the impairment of orthogonality among subcarriers is due to phase noise. It leads to the offset of demodulated data and increases the bit error rate (BER) of the receivers. As a result, it significantly degrades the performance of wireless communication systems that use OFDM. Therefore, offset compensation algorithm must be adopted in the OFDM system. The phase offset is traditionally estimated and compensated by introducing pilots in each OFDM symbol. However, the BER performance of the traditional algorithm PCP is poor because it is limited by the quantity of the pilot constraints of the wireless communication standard. A novel CPE correction algorithm involved in time and frequency domain can be developed to solve this problem. The proposed algorithm takes advantage of preamble sequences to remove the limitation of the pilots and improve the BER performance. Numerical analyses show that the proposed algorithm presents better estimation performance in additive white Gaussian noise (AWGN) channel. And the mean square error (MSE) is reduced to 10−3, which is lower than that of the traditional algorithm (10−2) at 10 dB signal-to-noise ratio (SNR). The BER is approximately down to10−5 at 12 dB SNR. The proposed algorithm can be easily implemented with low complexity of hardware for practical applications.

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The authors acknowledge the financial support of the Key Projects of R&D and Achievement Transformation in Qinghai Province (Grant: 2018-NN-151), the National Natural Science Foundation of China (Grant: 61761040 and 61771363), and the ChunHui Project of Education Ministry (Grant: Z2016108).

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Correspondence to Lingfei Zhang.

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Zhang, L., Ma, J., Wu, Z. et al. Efficient Cross-Correlation Algorithm for Correction of Common Phase Error Employing Preamble for Orthogonal Frequency Division Multiplexing (OFDM) Receivers. Wireless Pers Commun (2021). https://doi.org/10.1007/s11277-020-08030-6

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  • Orthogonal frequency division multiplexing (OFDM)
  • Common phase error estimation
  • Preamble
  • IEEE 802.11ac- standard