Frequency offset estimation technique based on modified dichotomous search in the presence of mixed Gaussian and impulsive noise

Zhi Quan and Hailong Zhang

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 239, issue C, 868-879

Abstract: In this paper, we devise a robust approach for estimating of frequency offset in mixed noise environment. The frequency offset estimator is based on modified dichotomous search (MDS) algorithm. The MDS uses the coarse estimate obtained from fast fourier transform (FFT) as an initial frequency offset estimate, continuously narrow the search interval, and update the frequency offset estimate, gradually converge to the true frequency offset value. The Cramér-Rao lower bound (CRLB) of the frequency offset estimation in the mixed noise is derived. Simulation results show that the MDS based frequency offset estimator outperforms the conventional frequency offset estimators. Finally, the MDS based frequency offset estimator is implemented on a field-programmable gate arragy (FPGA) board to verify the feasibility of the method. The MDS-based estimator’s fixed-point performance is identical to its floating-point performance.

Keywords: Frequency offset estimation; Impulse noise; Cramér-rao lower bound; Modified dichotomous search (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:239:y:2026:i:c:p:868-879

DOI: 10.1016/j.matcom.2025.07.068

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