Channel estimation with Zadoff–Chu sequences in the presence of phase errors
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-10-01
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| Series: | Electronics Letters |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/ell2.12996 |
| _version_ | 1797647092567506944 |
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| author | Sven Wittig Michael Peter Wilhelm Keusgen |
| author_facet | Sven Wittig Michael Peter Wilhelm Keusgen |
| author_sort | Sven Wittig |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T15:11:21Z |
| format | Article |
| id | doaj.art-00f31643481149ef9e7941dd28b721c4 |
| institution | Directory Open Access Journal |
| issn | 0013-5194 1350-911X |
| language | English |
| last_indexed | 2024-03-11T15:11:21Z |
| publishDate | 2023-10-01 |
| publisher | Wiley |
| record_format | Article |
| series | Electronics Letters |
| spelling | doaj.art-00f31643481149ef9e7941dd28b721c42023-10-29T15:08:29ZengWileyElectronics Letters0013-51941350-911X2023-10-015920n/an/a10.1049/ell2.12996Channel estimation with Zadoff–Chu sequences in the presence of phase errorsSven Wittig0Michael Peter1Wilhelm Keusgen2Wireless Communications and Networks Department Fraunhofer Heinrich‐Hertz‐Institut Berlin GermanyWireless Communications and Networks Department Fraunhofer Heinrich‐Hertz‐Institut Berlin GermanyDepartment of High Frequency Systems Technische Universität Berlin Berlin GermanyAbstract 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.https://doi.org/10.1049/ell2.12996channel estimationcorrelation methodsdiscrete Fourier transformsphase noisesequenceswireless channels |
| spellingShingle | Sven Wittig Michael Peter Wilhelm Keusgen Channel estimation with Zadoff–Chu sequences in the presence of phase errors Electronics Letters channel estimation correlation methods discrete Fourier transforms phase noise sequences wireless channels |
| title | Channel estimation with Zadoff–Chu sequences in the presence of phase errors |
| title_full | Channel estimation with Zadoff–Chu sequences in the presence of phase errors |
| title_fullStr | Channel estimation with Zadoff–Chu sequences in the presence of phase errors |
| title_full_unstemmed | Channel estimation with Zadoff–Chu sequences in the presence of phase errors |
| title_short | Channel estimation with Zadoff–Chu sequences in the presence of phase errors |
| title_sort | channel estimation with zadoff chu sequences in the presence of phase errors |
| topic | channel estimation correlation methods discrete Fourier transforms phase noise sequences wireless channels |
| url | https://doi.org/10.1049/ell2.12996 |
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