Electronics Letters (Oct 2023)

Channel estimation with Zadoff–Chu sequences in the presence of phase errors

  • Sven Wittig,
  • Michael Peter,
  • Wilhelm Keusgen

DOI
https://doi.org/10.1049/ell2.12996
Journal volume & issue
Vol. 59, no. 20
pp. n/a – n/a

Abstract

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Abstract Due to their perfect periodic autocorrelation property, Zadoff–Chu sequences are often used as stimulus signals in the measurement of radio channel responses. In this letter, the cross‐correlation of a linear shift‐invariant system's response to a Zadoff–Chu sequence is derived for the case that a multiplicative perturbation such as phase noise is present at its output. The perturbation signal is shown to incur a spurious discrete Fourier transform, thus degrading the correlation's peak to sidelobe ratio. The implications for the performance limits of channel measurement systems are discussed.

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