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
fDate :
3/1/1990 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
