Almost perfect autocorrelation sequences with small number of pauses for applications in magnetic resonance

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...

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Bibliographic Details
Published in:Cryptography and communications 2024, Vol.16 (1), p.109-127
Main Authors: Tekin, Eda, Gnilke, Oliver Wilhelm, Özbudak, Ferruh, Blümich, Bernhard, Greferath, Marcus
Format: Article
Language:English
Subjects:
Circuits
Coding and Information Theory
Communications Engineering
Computer Science
Data Structures and Information Theory
Information and Communication
Mathematics of Computing
Networks
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Summary: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.
ISSN:1936-2447
1936-2455
DOI:10.1007/s12095-023-00659-x