LFSR 차수 변화에 따른 잘린 골드코드 기반 GNSS PRN 코드군 설계
Design of GNSS PRN Code Families Based on Truncated Gold Codes with Varying LFSR Orders
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This paper presents the selection and analysis of PRN code groups with superior autocorrelation and cross-correlation properties based on truncated Gold codes for application in satellite navigation systems. Gold codes were generated by varying the order of the Linear Feedback Shift Register (LFSR) while maintaining a constant code length. The code groups were then selected by applying balance properties and correlation criteria. The number of codes satisfying the maximum even autocorrelation power of −28 dB, maximum odd autocorrelation power of −27.5 dB, and cross-correlation maximum powers of −26.4 dB and −25 dB were compared. The results indicate that, under a fixed code length, increasing the LFSR order tends to yield a greater number of codes that meet the cross-correlation criteria. Increasing the LFSR order is therefore expected to effectively enhance cross-correlation performance.
Abstract
This paper presents the selection and analysis of PRN code groups with superior autocorrelation and cross-correlation properties based on truncated Gold codes for application in satellite navigation systems. Gold codes were generated by varying the order of the Linear Feedback Shift Register (LFSR) while maintaining a constant code length. The code groups were then selected by applying balance properties and correlation criteria. The number of codes satisfying the maximum even autocorrelation power of −28 dB, maximum odd autocorrelation power of −27.5 dB, and cross-correlation maximum powers of −26.4 dB and −25 dB were compared. The results indicate that, under a fixed code length, increasing the LFSR order tends to yield a greater number of codes that meet the cross-correlation criteria. Increasing the LFSR order is therefore expected to effectively enhance cross-correlation performance.