Abstract
It is well known that it is a challenge to find constant amplitude sequences with perfect autocorrelation over small alphabets. In this work we present a construction that provides sequences with perfect cyclic autocorrelation over different alphabets using the value zero only once or twice in their period. The constructions provide a big variety of periods also at moderate lengths and the corresponding sequences may be considered to be of ‘almost’ constant amplitude. These sequences have applications in NMR spectroscopy with low excitation power.
| Original language | English |
|---|---|
| Journal | Cryptography and Communications |
| Volume | 16 |
| Issue number | 1 |
| Pages (from-to) | 109-127 |
| Number of pages | 19 |
| ISSN | 1936-2447 |
| DOIs | |
| Publication status | Published - Jan 2024 |
Bibliographical note
Publisher Copyright:© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
Keywords
- Autocorrelation
- Low excitation power
- NMR spectroscopy
- Sequences