DocumentCode
1421122
Title
Two-dimensional perfect binary arrays with 64 elements
Author
Bömer, Leopold ; Antweiler, Markus
Author_Institution
Inst. for Comm. Eng., Tech. Univ. of Aachen, West Germany
Volume
36
Issue
2
fYear
1990
fDate
3/1/1990 12:00:00 AM
Firstpage
411
Lastpage
414
Abstract
Perfect binary arrays can exist for numbers of elements that are even square numbers. Two-dimensional (2-D) perfect binary arrays are 4, 16, 36, and 144 elements are known. Perfect binary arrays with 64 elements can be constructed for three or more dimensions. Here, two-dimensional binary arrays with 64 elements are examined. The results of computer search for symmetric binary arrays with 64 elements are presented in the form of two 2-D perfect binary arrays with sizes 8*8 and 4*16. Applications of these perfect binary arrays are in 2-D synchronization, time-frequency coding, and coding loudspeaker fields
Keywords
encoding; synchronisation; 2-D synchronization; 64 elements; loudspeaker fields; perfect binary arrays; symmetric binary arrays; time-frequency coding; two-dimensional binary arrays; Codes; Frequency; Independent component analysis; Polynomials; Robustness;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.52492
Filename
52492
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