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Generation of Binary Sequences of Length 10230 Bits Having Better Odd and Even Correlation with Large Linear Complexity for Use in Global Navigation Satellites Systems (GNSS) Applications

Author : Dileep Dharmappa, Mahalinga V Mandi, S. Ramesh Volume: 7 issue: 1 Year: 2020 Views : 217
Abstract:
Binary sequences used in Global Navigation Satellites Systems (GNSS) are found to be easily decoded due to less linear complexity. The correlation properties are extremely important while selecting the sequences for GNSS Applications. Linear Feedback Shift Register (LFSR) based Sequences are being used in GNSS Systems such as Global Positioning System (GPS) L2 CM (L2 frequency band Civil Moderate) Signal. Due to the short cycling of LFSR these sequences result in poor correlation properties. In this work the properties of binary sequences used in the state of the art GPS L2CM Navigation signal is explored. The odd and even correlation properties of GPS L2CM sequences are presented in detail. These sequences are analyzed for their Linear Complexity property. A method is proposed for generation of 10230 bit length binary sequences. A new set of binary sequences with set size of 47 sequences are generated using chaotic real sequences. The generated sequences are analyzed for odd correlation, even correlation and linear complexity properties. The proposed binary sequences are found to have better correlation and excellent linear complexity properties as compared to GPS L2 CM Sequences, which make them suitable for use in GNSS Applications.
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