Chinese Optics, Volume. 18, Issue 3, 547(2025)

Pseudo-random code selection for inter-satellite laser ranging and data communication in the Taiji program

Pei-quan CHEN1,2,3,4, Ru-jie DENG1,2, Yi-bin ZHANG1,2, Pan LI2, Ke-qi QI2, He-shan LIU2, and Zi-ren LUO1,2,4、*
Author Affiliations
  • 1School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China
  • 2National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
  • 3National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China
  • 4University of Chinese Academy of Sciences, Beijing 100049, China
  • show less

    The Taiji program aims to achieve inter-satellite laser communication and absolute distance measurement using spread spectrum phase modulation technology based on the interferometric laser link. The selection of pseudo-random codes is the initial step in the design and implementation of the ranging and communication system, which requires comprehensive research and comparison of various aspects, including the implementation principles, correlation properties, and ranging error functions associated with different pseudo-random codes. This paper first elucidates the generation principles of m-sequences, Gold sequences, and Weil sequences. Pseudo-random sequences are generated using different hardware structures such as Fibonacci, Galois, and register addressing. The hardware circuits for Gold and Weil sequence generation are implemented on an FPGA development platform. The GPS C/A code is used as the Gold sequence, which facilitates its comparison and analysis with the Weil sequence. An analysis of the resource consumption and complexity of different hardware implementation methods is performed. Then, correlation values and root mean square errors are calculated to compare the pseudorandom noise performance of the Gold and Weil sequences. Finally, an error function for ranging is constructed based on the ranging principles and the intersymbol interference phenomenon after laser interference. This function is then compared with the ideal error function to evaluate the advantages and disadvantages of using different pseudorandom codes for ranging. The analysis reveals that Weil sequences demonstrate superior performance, exhibiting a sidelobe range of -60.27 dB to -24.01 dB, an autocorrelation rms of 0.303, and a cross-correlation rms of 0.307, outperforming Gold sequences in all metrics. Additionally, Weil sequences require only 30% of the hardware resources of Gold sequences and have a smaller error function deviation. Weil sequences are better suited to the laser ranging and data communication requirements of the Taiji program.

    Keywords
    Tools

    Get Citation

    Copy Citation Text

    Pei-quan CHEN, Ru-jie DENG, Yi-bin ZHANG, Pan LI, Ke-qi QI, He-shan LIU, Zi-ren LUO. Pseudo-random code selection for inter-satellite laser ranging and data communication in the Taiji program[J]. Chinese Optics, 2025, 18(3): 547

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Special Column on Space-based Gravitational Wave Detection

    Received: Feb. 6, 2024

    Accepted: Apr. 15, 2024

    Published Online: Jun. 16, 2025

    The Author Email:

    DOI:10.37188/CO.2024-0033

    Topics