Abstract

Generalized frequency division multiplexing (GFDM), an enabler of beyond-5G wireless networks, can be critically impaired due to radio frequency (RF) phase noise. However, joint channel estimation and phase noise compensation for GFDM systems have not been addressed before. Hence, we tackle this problem. To this end, we propose an iterative algorithm for joint channel and phase noise estimation and two algorithms for joint data detection and phase noise compensation. These algorithms use linear and non-linear least-squares (NLS) methods and employ block-type and comb-type pilots. The complexity of these algorithms is also analyzed. Moreover, to reduce their complexity, interpolation techniques are deployed to decrease the number of unknowns. We also analyze the signal-to-interference-plus noise ratio (SINR) and sum-rate of GFDM contaminated with phase noise. Furthermore, the accuracy of the channel and phase noise estimates is established via Cramer-Rao lower bounds (CRLBs). The simulation results illustrate that the mean-squared error (MSE) performance of the proposed joint channel and phase noise estimator reaches the CRLB. Moreover, the proposed joint data symbol detection and phase noise compensation algorithms nearly eliminate the impacts of phase noise in GFDM systems.

Highlights

  • F IFTH generation (5G) and beyond 5G wireless communication networks must handle peak data rates of at least 1 Tb/s, over-the-air latency of 10–100 μs, user-experienced data rates of 1 Gb/s and the support of high user mobility (≥ 1000 km/h) [1]–[3]

  • 4G wireless (Long Term Evolution (LTE) and other standards) widely uses orthogonal frequency division multiplexing (OFDM), its drawbacks include high peak-to-average power ratios, bandwidth loss associated with the cyclic prefix (CP), high out-of-band (OOB) emissions emanating from rectangular filters, and high synchronisation issues due to orthogonality mismatch

  • PROBLEM TACKLED AND CONTRIBUTIONS In this paper, we address the following problem: how can joint channel estimation, phase noise compensation and data detection be performed for generalized frequency division multiplexing (GFDM) efficiently? This problem is essential and challenging for the reasons mentioned above

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Summary

INTRODUCTION

F IFTH generation (5G) and beyond 5G wireless communication networks must handle peak data rates of at least 1 Tb/s, over-the-air latency of 10–100 μs, user-experienced data rates of 1 Gb/s and the support of high user mobility (≥ 1000 km/h) [1]–[3]. That requires stringent constraints on the fabrication of RF components, increasing the cost [27] Due to all these reasons, phase noise estimation and compensation algorithms are essential for the accurate channel estimation and data detection for GFDM. B. PROBLEM TACKLED AND CONTRIBUTIONS In this paper, we address the following problem: how can joint channel estimation, phase noise compensation and data detection be performed for GFDM efficiently? In [25], authors propose an iterative algorithm for joint channel and phase noise estimation for OFDM based on the linear LS approach. With the system model (Section II), Section III develops the algorithms for channel and phase noise estimation and for data detection and phase noise compensation. The rows of circulant matrix A are formed by circular right shifts of the elements of vector a [56]

SYSTEM MODEL
JOINT DATA SYMBOL AND PHASE NOISE
PERFORMANCE ANALYSIS
COMPUTATIONAL COMPLEXITY ANALYSIS
SIMULATION RESULTS
CONCLUSION
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