### 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 |
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Article number | 6003788 |

Pages (from-to) | 438-444 |

Number of pages | 7 |

Journal | IEEE Transactions on Information Theory |

Volume | 58 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2012 Jan 1 |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

*IEEE Transactions on Information Theory*,

*58*(1), 438-444. [6003788]. https://doi.org/10.1109/TIT.2011.2166244