Joint Channel Estimation Algorithm Based on DFT and DWT

Channel estimation is an important component of orthogonal frequency division multiplexing (OFDM) systems. The existence of virtual subcarriers leads to energy spreading in the time-domain when using Inverse Fast Fourier Transform (IFFT), resulting in poor noise reduction by the conventional Discret...

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Main Authors: Zhe Zhang, Xin Bian, Mingqi Li
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/15/7894
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author Zhe Zhang
Xin Bian
Mingqi Li
author_facet Zhe Zhang
Xin Bian
Mingqi Li
author_sort Zhe Zhang
collection DOAJ
description Channel estimation is an important component of orthogonal frequency division multiplexing (OFDM) systems. The existence of virtual subcarriers leads to energy spreading in the time-domain when using Inverse Fast Fourier Transform (IFFT), resulting in poor noise reduction by the conventional Discrete Fourier Transform (DFT)-based channel estimation algorithm. To tackle this problem, this paper first proposes a segmental threshold-assisted DFT-based channel estimation algorithm. The key idea is that, by utilizing the distribution characteristics of the channel and the noise components of the channel impulse response in the time-domain, different thresholds for channel estimation under different SNR conditions are set. Compared with the traditional single-threshold DFT-based algorithm, the performance of the proposed algorithm is improved. However, it still has an estimation performance floor under high SNR. Motivated by the fact that the discrete wavelet transform (DWT)-based channel estimation algorithm can achieve better estimation performance under high SNR, we propose a joint channel estimation algorithm based on DFT and DWT, which can achieve dynamic optimal selection of the two estimation methods without any prior information. Simulation results of the Wi-Fi 6 system show that the mean square error (MSE) simulation performance of the joint channel estimation algorithm is close to its theoretical approximation. It achieves the optimal estimation of MSE and BER performance across the entire SNR range compared with the separated DFT-based or DWT-based channel estimation algorithms.
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spelling doaj.art-a6a74eed9f354449977ca567d090c7d42023-12-03T12:30:04ZengMDPI AGApplied Sciences2076-34172022-08-011215789410.3390/app12157894Joint Channel Estimation Algorithm Based on DFT and DWTZhe Zhang0Xin Bian1Mingqi Li2Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210, ChinaShanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210, ChinaShanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210, ChinaChannel estimation is an important component of orthogonal frequency division multiplexing (OFDM) systems. The existence of virtual subcarriers leads to energy spreading in the time-domain when using Inverse Fast Fourier Transform (IFFT), resulting in poor noise reduction by the conventional Discrete Fourier Transform (DFT)-based channel estimation algorithm. To tackle this problem, this paper first proposes a segmental threshold-assisted DFT-based channel estimation algorithm. The key idea is that, by utilizing the distribution characteristics of the channel and the noise components of the channel impulse response in the time-domain, different thresholds for channel estimation under different SNR conditions are set. Compared with the traditional single-threshold DFT-based algorithm, the performance of the proposed algorithm is improved. However, it still has an estimation performance floor under high SNR. Motivated by the fact that the discrete wavelet transform (DWT)-based channel estimation algorithm can achieve better estimation performance under high SNR, we propose a joint channel estimation algorithm based on DFT and DWT, which can achieve dynamic optimal selection of the two estimation methods without any prior information. Simulation results of the Wi-Fi 6 system show that the mean square error (MSE) simulation performance of the joint channel estimation algorithm is close to its theoretical approximation. It achieves the optimal estimation of MSE and BER performance across the entire SNR range compared with the separated DFT-based or DWT-based channel estimation algorithms.https://www.mdpi.com/2076-3417/12/15/7894channel estimationdiscrete Fourier transformdiscrete wavelet transformmean square errorWi-Fi 6
spellingShingle Zhe Zhang
Xin Bian
Mingqi Li
Joint Channel Estimation Algorithm Based on DFT and DWT
Applied Sciences
channel estimation
discrete Fourier transform
discrete wavelet transform
mean square error
Wi-Fi 6
title Joint Channel Estimation Algorithm Based on DFT and DWT
title_full Joint Channel Estimation Algorithm Based on DFT and DWT
title_fullStr Joint Channel Estimation Algorithm Based on DFT and DWT
title_full_unstemmed Joint Channel Estimation Algorithm Based on DFT and DWT
title_short Joint Channel Estimation Algorithm Based on DFT and DWT
title_sort joint channel estimation algorithm based on dft and dwt
topic channel estimation
discrete Fourier transform
discrete wavelet transform
mean square error
Wi-Fi 6
url https://www.mdpi.com/2076-3417/12/15/7894
work_keys_str_mv AT zhezhang jointchannelestimationalgorithmbasedondftanddwt
AT xinbian jointchannelestimationalgorithmbasedondftanddwt
AT mingqili jointchannelestimationalgorithmbasedondftanddwt