Zero-Correlation Zone Sequence Set Construction Using an Even-Perfect Sequence and an Odd-Perfect Sequence

The present paper introduces a new construction of a class of binary periodic sequence set having a zero-correlation zone sequence set. The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The present paper shows that such a construction generates a binary zcz sequence set by using an arbitrary pair of an even-perfect sequence and an odd-perfect sequence. The proposed zcz sequence set reaches the theoretical upper bound of the member size of the sequence set.

[1]  Shinya Matsufuji,et al.  FORMALIZATION OF BINAY SEQUENCE SETS WITH ZERO CORRELATION ZONE , 2004 .

[2]  Takafumi Hayashi.  Binary Sequences with Orthogonal Subsequences and a Zero-Correlation Zone: Pair-Preserving Shuffled Sequences , 2002, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[3]  S. W. GOLOMB,et al.  Generalized Barker sequences , 1965, IEEE Trans. Inf. Theory.

[4]  Takafumi Hayashi,et al.  Binary Zero-Correlation Zone Sequence Set Construction Using a Cyclic Hadamard Sequence , 2006, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[5]  Hans Dieter Lüke.  BTP transform and perfect sequences with small phase alphabet , 1996 .

[6]  M.B. Pursley,et al.  Crosscorrelation properties of pseudorandom and related sequences , 1980, Proceedings of the IEEE.

[7]  Naoki Suehiro,et al.  Class of binary sequences with zero correlation zone , 1999 .

[8]  M. Yokoyama,et al.  New binary sequences with zero-correlation duration for approximately synchronised CDMA , 2000 .

[9]  Dilip V. Sarwate,et al.  Construction of sequences with good correlation properties (Corresp.) , 1979, IEEE Trans. Inf. Theory.

[10]  Takafumi Hayashi,et al.  A Generalization of Binary Zero-Correlation Zone Sequence Sets Constructed from Hadamard Matrices , 2004, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[11]  Hans D. Schotten,et al.  Odd-perfect, almost binary correlation sequences , 1995 .

[12]  Takafumi Hayashi.  A Class of Ternary Sequence Sets with a Zero-Correlation Zone for Periodic, Aperiodic, and Odd Correlation Functions , 2003, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[13]  P. Fan,et al.  Lower bounds on correlation of spreading sequence set with low or zero correlation zone , 2000 .

[14]  Tom Høholdt,et al.  Ternary sequences with perfect periodic autocorrelation , 1983, IEEE Trans. Inf. Theory.

[15]  Hiroyuki Nakase,et al.  SS-CDMA Flexible Wireless Network: Implementation of Approximately Synchronized CDMA Modem for Uplink , 2002, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[16]  P. Fan,et al.  Generalized Orthogonal Sequences and Their Applications in Synchronous CDMA Systems , 2000 .

[17]  Naoki Suehiro,et al.  A new class of zero-correlation zone sequences , 2004, IEEE Transactions on Information Theory.

[18]  Hans-Dieter Lüke,et al.  Perfect ternary arrays , 1990, IEEE Trans. Inf. Theory.

[19]  Naoki Suehiro,et al.  Ternary ZCZ Sequence Sets for Cellular CDMA Systems , 2002, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[20]  Naoki Suehiro,et al.  A signal design without co-channel interference for approximately synchronized CDMA systems , 1994, IEEE J. Sel. Areas Commun..

[21]  Pingzhi Fan,et al.  Two Types of Polyphase Sequence Sets for Approximately Synchronized CDMA Systems , 2003, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[22]  Richard A. Games.  The geometry of quadrics and correlations of sequences , 1986, IEEE Trans. Inf. Theory.

[23]  H. D. Luke,et al.  Sequences and arrays with perfect periodic correlation , 1988 .

[24]  J. S. Cha.  Class of ternary spreading sequences with zero correlation duration , 2001 .

[25]  Shinya Matsufuji,et al.  On Optimal Construction of Two Classes of ZCZ Codes , 2006, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[26]  Takafumi Hayashi,et al.  Binary Zero-Correlation Zone Sequence Set Construction Using a Primitive Linear Recursion , 2005, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..