Reduced-complexity sparsity-aware joint phase noise mitigation and channel equalization in OFDM receivers

A major performance and complexity limitation in direct-conversion broadband wireless transceivers is the phase noise (PN) resulting from the inevitable imperfections in the fabrication process of the crystal oscillator. PN induces inter-carrier interference in orthogonal frequency division multiplexing (OFDM) transceivers. Assuming the availability of inaccurate PN and channel estimates, in this paper, we propose an efficient low-complexity sparsity-based design for joint PN mitigation and channel equalization in OFDM systems. Moreover, we analyze the maximum expected coherence metric for the sparsifying matrix that is used in our approach which provides some insight into its performance. Finally, our numerical simulations demonstrate the effectiveness of our proposed compensation approach compared to the state-of-the-art designs in terms of both performance and computational complexity.