Z-complementary Binary Sequences

In this letter, Z-complementary sequences are introduced. These sequences include the conventional complementary sequences as special cases. It is shown that, different from the normal complementary pair of binary sequences which exist only for very limited lengths, i.e., 2 a 10 b 26 c for a,b,cges0...

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Bibliographic Details
Published inIEEE signal processing letters Vol. 14; no. 8; pp. 509 - 512
Main Authors Fan, Pingzhi, Yuan, Weina, Tu, Yifeng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.08.2007
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Acoustic applications
Acoustic devices
Acoustic pulses
Autocorrelation
Binary sequences
Complementary mates
Correlation
Infrared spectra
Navigation
Optical fiber communication
Radar applications
Signal processing
Spectroscopy
Z-complementary binary sequences
zero correlation zone
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Summary:In this letter, Z-complementary sequences are introduced. These sequences include the conventional complementary sequences as special cases. It is shown that, different from the normal complementary pair of binary sequences which exist only for very limited lengths, i.e., 2 a 10 b 26 c for a,b,cges0, a Z-complementary pair of binary sequences exists for many more lengths. In addition, for a Z-complementary set with zero correlation zone Z, P binary sequences, each having length N, the maximum number of distinct Z-complementary mates is smaller than or equal to P[N/Z].
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2007.891834