Realizations from Decimation Hadamard Transform for Special Classes of Binary Sequences with Two-Level Autocorrelation | Zendy

Nam Yul Yu | Zendy; Guang Gong | Zendy

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Realizations from Decimation Hadamard Transform for Special Classes of Binary Sequences with Two-Level Autocorrelation

Author(s) -

Nam Yul Yu,

Guang Gong

Publication year - 2006

Publication title -

lecture notes in computer science

Language(s) - English

Resource type - Book series

SCImago Journal Rank - 0.249

H-Index - 400

eISSN - 1611-3349

pISSN - 0302-9743

ISBN - 3-540-35481-6

DOI - 10.1007/11779360_29

Subject(s) - hadamard transform , autocorrelation , decimation , mathematics , complementary sequences , binary number , pseudorandom binary sequence , autocorrelation matrix , sequence (biology) , quadratic residue , autocorrelation technique , discrete mathematics , algorithm , combinatorics , computer science , arithmetic , statistics , telecommunications , mathematical analysis , bandwidth (computing) , biology , genetics

In an effort to search for a new binary two-level autocorrelation sequence, the decimation-Hadamard transform (DHT) based on special classes of known binary sequences with two-level autocorrelation is investigated. In the second order DHT of a binary generalized Gordon-Mills-Welch (GMW) sequence, we show that there exist realizations which can be theoretically determined by the second order DHT in its subfield. Furthermore, we show that complete realizations of any binary two-level autocorrelation sequence with respect to a quadratic residue (QR) sequence by the second order DHT are theoretically determined.

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