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.

在本文中，我们提出了一种互相关算法，用于以高实现效率校正正交频分复用（OFDM）系统中的公共相位误差（CPE）。子载波之间正交性受损导致的CPE是由于相位噪声引起的。这会导致解调数据的偏移，并增加接收器的误码率（BER）。结果，它大大降低了使用OFDM的无线通信系统的性能。因此，在OFDM系统中必须采用偏移补偿算法。传统上，通过在每个OFDM符号中引入导频来估计和补偿相位偏移。但是，传统算法PCP的BER性能很差，因为它受到无线通信标准的导频约束量的限制。可以开发涉及时域和频域的新型CPE校正算法来解决此问题。所提出的算法利用前导序列来消除导频的限制并提高BER性能。数值分析表明，该算法在加性高斯白噪声（AWGN）信道中具有更好的估计性能。且均方误差（MSE）降至10^-3在信噪比（SNR）为10 dB时低于传统算法（10 ^-2）。BER在12 dB SNR时大约降至10 ^-5。所提出的算法可以容易地以低复杂度的硬件实现以用于实际应用。