A Subspace-Based Frequency Synchronization Algorithm for Multicarrier Communication Systems

Yung-Yi Wang () and Shih-Jen Yang
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Yung-Yi Wang: Department of Electrical Engineering, School of Electrical and Computer Engineering, College of Engineering, Chang-Gung University, Tao-Yuan 33302, Taiwan
Shih-Jen Yang: College of Electrical Engineering and Computer Science, National Taipei University, New Taipei 237303, Taiwan

Mathematics, 2024, vol. 12, issue 16, 1-16

Abstract: We present a subspace-based polynomial rooting algorithm to estimate the frequency bias (FB) of generalized frequency division multiplexing (GFDM) systems employing null subcarriers and repetitive sub-symbols. The estimation process is classified into fractional FB (FFB) and integer FB (IFB) estimation. The use of repetitive sub-symbols creates a quasi-periodic structure in the FB-distorted received signal, allowing the proposed algorithm to estimate the FFB using the root-MUSIC algorithm. Based on this, the proposed algorithm compensates for the FFB in the received signal and then estimates the null subcarrier pattern (NSP) in the frequency domain. As a result, the IFB estimate can be obtained in a maximum likelihood (ML) manner. Before the NSP estimation, this study uses a sub-symbol combiner to enhance signal strength of the FFB-aligned signal, ensuring the reliability of the IFB estimate. Computer simulations show that the proposed subspace-based algorithm has several advantages over traditional FB estimation methods: 1. Unlike some existing algorithms that use a training sequence to estimate FB, the proposed approach is a semi-blind algorithm because it can deliver information through repeated sub-symbols while estimating FB; 2. The proposed algorithm demonstrates excellent estimation accuracy compared to most traditional FB estimation algorithms; and 3. The proposed algorithm is computationally efficient, making it applicable to real-time applications in future communication systems.

Keywords: subspace-based algorithm; polynomial rooting; frequency synchronization; root-MUSIC algorithm; multicarrier modulations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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