<p>Fractional ambiguity functions consider fractional Doppler shifts and are crucial for channel estimation in high-speed scenarios. Generalized chirp-like (GCL) sequences are well-known in communication systems because of their favorable correlation properties. In this paper, using the properties of incomplete exponential sums, we analyze the fractional ambiguity functions of two types of GCL sequences: one constructed using cyclically shifted Zadoff-Chu sequences, and the other based on DFT matrices. Further, based on the rational number reconstruction, we find a sequence set with low ambiguity zone.</p>

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Low ambiguity zone property of generalized chirp-like sequences under fractional doppler

  • Zheng Wang,
  • Yang Yang,
  • Avik Ranjan Adhikary,
  • Zhengchun Zhou,
  • Shixin Zhu

摘要

Fractional ambiguity functions consider fractional Doppler shifts and are crucial for channel estimation in high-speed scenarios. Generalized chirp-like (GCL) sequences are well-known in communication systems because of their favorable correlation properties. In this paper, using the properties of incomplete exponential sums, we analyze the fractional ambiguity functions of two types of GCL sequences: one constructed using cyclically shifted Zadoff-Chu sequences, and the other based on DFT matrices. Further, based on the rational number reconstruction, we find a sequence set with low ambiguity zone.