Papers

Peer-reviewed
Dec, 2011

Orthogonal and ZCZ Sets of Real-Valued Periodic Orthogonal Sequences from Huffman Sequences

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
  • Takahiro Matsumoto
  • ,
  • Shinya Matsufuji
  • ,
  • Tetsuya Kojima
  • ,
  • Udaya Parampalli

Volume
E94A
Number
12
First page
2728
Last page
2736
Language
English
Publishing type
Research paper (scientific journal)
DOI
10.1587/transfun.E94.A.2728
Publisher
IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG

This paper presents a method of generating sets of orthogonal and zero-correlation zone (ZCZ) periodic real-valued sequences of period 2(n), n >= 1. The sequences admit a fast correlation algorithm and the sets of sequences achieve the upper bound on family size. A periodic orthogonal sequence has the periodic autocorrelation function with zero sidelobes, and a set with orthogonal sequences whose mutual periodic crosscorrelation function at zero shift is zero. Similarly, a ZCZ set is the set of the sequences with zero-correlation zone. In this paper, we derive the real-valued periodic orthogonal sequences of period 2" from a real-valued Huffman sequence of length 2(v) + 1, v being a positive integer and v >= n, whose aperiodic autocorrelation function has zero sidelobes except possibly at the left and right shift-ends. The orthogonal and ZCZ sets of real-valued periodic orthogonal sequences are useful in various systems, such as synchronous code division multiple access (CDMA) systems, quasi-synchronous CDMA systems and digital watermarkings.

Link information
DOI
https://doi.org/10.1587/transfun.E94.A.2728
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000298304800030&DestApp=WOS_CPL
ID information
  • DOI : 10.1587/transfun.E94.A.2728
  • ISSN : 0916-8508
  • eISSN : 1745-1337
  • Web of Science ID : WOS:000298304800030

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