Partial-Period Correlations of Zadoff-Chu Sequences and Their Relatives
SCIE
SCOPUS
- Title
- Partial-Period Correlations of Zadoff-Chu Sequences and Their Relatives
- Authors
- Lee, TK; Yang, K
- Date Issued
- 2014-09
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Abstract
- Partial-period correlations of sequences are an important performance measure of communication systems employing them, but are known to be notoriously difficult to analyze. In this paper, we present a systematic approach to partial-period correlations as a generalization of the Paterson-Lothian approach. For a pair of sequences (not necessarily distinct), we introduce the linear phase-shifting sequences of one of them and analyze their full-period correlations, called the induced correlations, with the other one. By exploiting the induced correlations, we obtain the partial-period correlation properties of the given pair. We then investigate Zadoff-Chu sequences, and give some theoretical results on their partial-period autocorrelations, including closed-form expressions, and the first and second moments. We also derive an upper bound on the magnitudes of the partial-period cross-correlations of Zadoff-Chu sequences. Finally, we explore generalized chirp-like discrete Fourier transform sequences and show that their partial-period cross-correlations have the same magnitudes as the partial-period autocorrelations of the employed Zadoff-Chu sequence up to permutation.
- Keywords
- Partial-period correlation; linear phase-shifting sequences; induced correlation; Zadoff-Chu sequences; GCL-DFT sequences; ZERO CORRELATION ZONE; MULTIPLE-ACCESS COMMUNICATION; CROSS-CORRELATION; SYSTEMS; BOUNDS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/13980
- DOI
- 10.1109/TIT.2014.2334319
- ISSN
- 0018-9448
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 60, no. 9, page. 5791 - 5802, 2014-09
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