Abstract
Channel estimation is an essential part of Orthogonal Frequency Division Multiplexing (OFDM) communication systems. In this paper, two Discrete Fourier Transform (DFT) improvement algorithms are proposed and compared where the 1st one exploits channel sparsity concept while the other considers significant channel coefficients only. In the proposed algorithms; Enhanced and Sparse DFT (E-DFT and S-DFT), different number of significant channel components is selected either by a threshold determining procedure such as in E-DFT, or through determining channel sparsity level such as in S-DFT. In the presence of Doppler frequency shifts, the Inter Symbol Interference (ISI) effect on channel coefficients is successfully reduced using the proposed estimation algorithms. Vehicular A-ITU channel model is considered with a relatively high vehicle speed up to 68 Km/h in order to test the suitability of the proposed algorithms for mobile systems. E-DFT and S-DFT improves conventional as well as previous DFT improvement methods (I-DFT) suggested by [7], [8], [9], [15]. For 64 subcarriers, S-DFT outperforms E-DFT and I-DFT by about 3dB at a BER of 0.01 with a mobility reaches 45 Km/h, and by about 0.4dB and 2.5dB at a BER of 0.02 with a mobility reaches 68Km/h.
Highlights
In modern communication systems, Orthogonal Frequency Division Multiplexing (OFDM) is a widely used as a modulation technique due to its ability to overcome the Inter Symbol Interference (ISI) problem in multipath fading environments
Discrete Fourier Transform (DFT)- based channel estimation is a good compromise between performance and complexity, its complexity much reduced as compared to Linear Minimum Mean Square (LMMS), while it has a performance as good as that of LMMS [6]
Despite the possibilities of DFT based channel estimation technique which characterized by good performance and simplicity of implementation, several proposals are presented to enhance its performance in fading environments with Doppler effects [6] - [17]
Summary
OFDM is a widely used as a modulation technique due to its ability to overcome the ISI problem in multipath fading environments. The output of Fourier transform for a signal with a small number of non- zero Fourier coefficients, can be sufficiently represented using only k coefficients [8] From this standing point, the main contribution of this paper is represented by suggesting and proposing of two algorithms to improve DFT estimation performance. Different methods named as Sparse Fourier Transform (SFFT or SDFT), that have been developed in order to reduce the complexity of Fourier transform computations for the sparse signals [9], [10] Where they didn’t used as channel estimation methods, which differs from the proposed one at this point.
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