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Improved high-sensitivity partial-matched filter with FFT-based acquisition algorithm for BDS-2 and BDS-3 signals with secondary code modulation

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Abstract

The primary code is further encoded with a secondary code for many modern global navigation satellite system (GNSS) signals. The secondary code usually has a higher chip rate than navigation message symbol rate, preventing integration time from being extended. Based on the partial-matched filter with FFT (PMF-FFT) algorithm, we propose the improved high-sensitivity partial-matched filter with FFT (IHSPF) algorithm. The proposed parallel secondary code phase estimate (PScPE) algorithm combined with PMF-FFT can achieve parallel search in three dimensions: primary code, secondary code, and Doppler frequency. The envelope loss mitigation (ELM) method is used for the integration gain loss issue due to the FFT scalloping loss. Finally, the improved multi-search code phase compare detection method (I-MCCD) is also presented to improve the detection performance. The proposed algorithm achieves extremely high sensitivity and is suitable for hardware implementation. The BDS B1I, B2I, B3I, and B2a signals are used to simulate and analyze the algorithm performance. The simulation results show that the acquisition sensitivity of the B1I signal is effectively improved up to 23 dB-Hz. The success probability can get 93% at the maximum gain points and 74% at the minimum gain points.

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Data Availability

The data that support this research are available from the corresponding author upon reasonable request.

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Acknowledgements

This work was supported by high-technology project between Jilin Province and the Chinese Academy of Sciences (Grant Number 2022SYHZ0030).

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XD was involved in methodology, conceptualization, software, formal analysis, visualization, and writing—original draft. YY was involved in methodology, validation, software, and writing—review and editing. JC was involved in supervision.

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Correspondence to Ying Yang.

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Ding, X., Yang, Y. & Chen, J. Improved high-sensitivity partial-matched filter with FFT-based acquisition algorithm for BDS-2 and BDS-3 signals with secondary code modulation. GPS Solut 27, 143 (2023). https://doi.org/10.1007/s10291-023-01480-y

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