Least squares (LS) is a commonly used pilot-based channel estimation algorithm in orthogonal frequency division multiplexing (OFDM) systems. This algorithm is simple and easy to implement because of its low computation complexity. However, it has poor performance, especially at low signal-to-noise ratio (SNR). To solve this problem, an improved LS channel estimation method based on convolutional neural network (CNN) is proposed on the basis of analyzing the traditional LS channel estimation methods. A channel estimation compensated network is designed based on CNN, which can solve the problem of performance degradation of the mean square error (MSE) through the online and offline modules. By designing the input-output relations, training data set, and testing data set, a CNN network is iteratively trained to learn the relevant features of the channels, so that the traditional LS estimation value can be corrected to improve the accuracy. Simulation results show that the proposed method can achieve better performance in bit error rate (BER) and MSE, compared with the traditional channel estimation methods.
Citation: Hua Yang, Xuan Geng, Heng Xu, Yichun Shi. An improved least squares (LS) channel estimation method based on CNN for OFDM systems[J]. Electronic Research Archive, 2023, 31(9): 5780-5792. doi: 10.3934/era.2023294
Least squares (LS) is a commonly used pilot-based channel estimation algorithm in orthogonal frequency division multiplexing (OFDM) systems. This algorithm is simple and easy to implement because of its low computation complexity. However, it has poor performance, especially at low signal-to-noise ratio (SNR). To solve this problem, an improved LS channel estimation method based on convolutional neural network (CNN) is proposed on the basis of analyzing the traditional LS channel estimation methods. A channel estimation compensated network is designed based on CNN, which can solve the problem of performance degradation of the mean square error (MSE) through the online and offline modules. By designing the input-output relations, training data set, and testing data set, a CNN network is iteratively trained to learn the relevant features of the channels, so that the traditional LS estimation value can be corrected to improve the accuracy. Simulation results show that the proposed method can achieve better performance in bit error rate (BER) and MSE, compared with the traditional channel estimation methods.
[1] | S. Coleri, M. Ergen, A. Puri, A. Bahai, Channel estimation techniques based on pilot arrangement in OFDM systems, IEEE Trans. Broadcast., 48 (2002), 223–229. https://doi.org/10.1109/TBC.2002.804034 doi: 10.1109/TBC.2002.804034 |
[2] | Y. Gong, K. B. Letaief, Low rank channel estimation for space-time coded wideband OFDM systems, in IEEE 54th Vehicular Technology Conference. VTC Fall 2001. Proceedings (Cat. No.01CH37211), 2 (2001), 772–776. https://doi.org/10.1109/VTC.2001.956875 |
[3] | M. Morelli, U. Mengali, A comparison of pilot-aided channel estimation methods for OFDM systems, IEEE Trans. Signal Process., 49 (2001), 3065–3073. https://doi.org/10.1109/78.969514 doi: 10.1109/78.969514 |
[4] | Y. Li, L. J. Cimini, N. R. Sollenberger, Robust channel estimation for OFDM systems with rapid dispersive fading channels, IEEE Trans. Commun., 46 (1998), 902–915. https://doi.org/10.1109/26.701317 doi: 10.1109/26.701317 |
[5] | Y. S. Cho, J. Kim, W. Y. Yang, C. G. Kang, MIMO-OFDM Wireless Communications with MATLAB, Wiley Publishing, 2010. https://doi.org/10.1002/9780470825631.ch4 |
[6] | J. Long, Study and simulation on channel estimate algorithm in OFDM system, Commun. Technol., 41 (2008), 7–8. https://doi.org/10.3969/j.issn.1002-0802.2008.10.003 doi: 10.3969/j.issn.1002-0802.2008.10.003 |
[7] | D. Wang, Z. Mei, J. Liang, J. Liu, An improved channel estimation algorithm based on WD-DDA in OFDM system, Mobile Inf. Syst., 2021 (2021), 6540923. https://doi.org/10.1155/2021/6540923 doi: 10.1155/2021/6540923 |
[8] | Y. Li, C. Tao, G. Secogranados, A. Mezghani, A. L. Swindlehurst, L. Liu, Channel estimation and performance analysis of One-Bit massive mimo systems, IEEE Trans. Signal Process., 65 (2017), 4075–4089. https://doi.org/10.1109/TSP.2017.2706179 doi: 10.1109/TSP.2017.2706179 |
[9] | H. He, C. K. Wen, J. Shi, G. Y. Li, Deep learning-based channel estimation for beamspace mmwave massive mimo systems, IEEE Wireless Commun. Lett., 7 (2018), 852–855. https://doi.org/10.1109/LWC.2018.2832128 doi: 10.1109/LWC.2018.2832128 |
[10] | M. Soltani, V. Pourahmadi, A. Mirzaei, H. Sheikhzadeh, Deep learning-based channel estimation, IEEE Commun. Lett., 23 (2019), 652–655. https://doi.org/10.1109/LCOMM.2019.2898944 doi: 10.1109/LCOMM.2019.2898944 |
[11] | H. Ye, G. Y. Li, B. H. Juang, Power of deep learning for channel estimation and signal detection in OFDM systems, IEEE Wireless Commun. Lett., 7 (2017), 114–117. https://doi.org/10.1109/LWC.2017.2757490 doi: 10.1109/LWC.2017.2757490 |
[12] | A. S. M. Mohammed, A. I. A. Taman, A. M. Hassan, A. Zekry, Deep learning channel estimation for OFDM 5G systems with different channel models, Wireless Pers. Commun., 128 (2023), 2891–2912. https://doi.org/10.1007/s11277-022-10077-6 doi: 10.1007/s11277-022-10077-6 |
[13] | S. A. Fechtel, A novel approach to modeling and efficient simulation of frequency-selective fading radio channels, IEEE J. Sel. Areas Commun., 11 (1993), 422–431. https://doi.org/10.1109/49.219555 doi: 10.1109/49.219555 |
[14] | S. Ioffe, C. Szegedy, Batch normalization: accelerating deep network training by reducing internal convariate shift, in Proceedings of the 32nd International Conference on Machine Learning, 37 (2015), 448–456. Available from: http://proceedings.mlr.press/v37/ioffe15.html. |