2-D quasi m-arrays and Gold code arrays

Author

Kuo, Chung J. ; Rigas, Harriett B.

Author_Institution

Dept. of Electr. Eng., Nat. Chung Cheng Univ., Chiayi, Taiwan

Volume

37

Issue

2

fYear

1991

fDate

3/1/1991 12:00:00 AM

Firstpage

385

Lastpage

388

Abstract

Two-dimensional quasi-maximal-area arrays (quasi-m-arrays) are proposed. These quasi-m-arrays are so named because their cyclic correlation properties are very close to those of the m-arrays. These arrays are generated by modulo-2 addition of maximal length sequences. The cyclic autocorrelation of any quasi-m-array is close to the delta-function. In addition, the cyclic cross-correlation is small compared with the cyclic autocorrelation peak. Two-dimensional Gold code arrays generated by the same construction method are also studied. Correlation properties of these Gold code arrays are similar to those of the quasi-m-arrays. The Gold code arrays provide families of arrays in which any two arrays have the bound on their cyclic cross-correlation. These arrays are also shown to have the quasi-orthogonal property

Keywords

binary sequences; codes; correlation methods; picture processing; 2D arrays; Gold code arrays; cyclic autocorrelation; cyclic autocorrelation peak; cyclic correlation properties; cyclic cross-correlation; delta-function; image processing; m-sequences; maximal length sequences; modulo-2 addition; quasi-m-arrays; quasi-maximal-area arrays; quasi-orthogonal property; Apertures; Autocorrelation; Code division multiplexing; Gold; Humans; Navigation; Radar imaging; Two dimensional displays; Writing;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.75260

Filename

75260