# Generalized cross-correlation properties of Chu sequences

Jae Won Kang, Younghoon Whang, Byung Hoon Ko, Kwang Soon Kim

Research output: Contribution to journalArticle

31 Citations (Scopus)

### Abstract

In this paper, detailed cross-correlation properties for Chu sequences are investigated. All possible values of the cross-correlation function of Chu sequences are derived for any given sequence length and lag, and the maximum magnitude distribution function $\rho -{N}(x)$, which is defined as the number of all Chu sequence pairs with length-$N$ whose maximum magnitude of the cross-correlation function is ${\sqrt {Nx}}$, is obtained. Also, good lower and upper bounds on the maximum number of available Chu sequences and a construction algorithm for the corresponding partial Chu sequence set are proposed when the maximum magnitude of the cross-correlation among the sequences is constrained. Numerical examples show that the proposed bounds are quite tight and the proposed construction algorithm is near-optimal up to fairly large value of $N$.

Original language English 6003788 438-444 7 IEEE Transactions on Information Theory 58 1 https://doi.org/10.1109/TIT.2011.2166244 Published - 2012 Jan 1

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Distribution functions
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### All Science Journal Classification (ASJC) codes

• Information Systems
• Computer Science Applications
• Library and Information Sciences

### Cite this

Kang, Jae Won ; Whang, Younghoon ; Ko, Byung Hoon ; Kim, Kwang Soon. / Generalized cross-correlation properties of Chu sequences. In: IEEE Transactions on Information Theory. 2012 ; Vol. 58, No. 1. pp. 438-444.
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Generalized cross-correlation properties of Chu sequences. / Kang, Jae Won; Whang, Younghoon; Ko, Byung Hoon; Kim, Kwang Soon.

In: IEEE Transactions on Information Theory, Vol. 58, No. 1, 6003788, 01.01.2012, p. 438-444.

Research output: Contribution to journalArticle

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