Saturday, November 30, 2013

Golomb construction


For the prime 47, and primitive roots 5 and 43 with sum 1 mod 47, the Golomb-type Costas array is defined as follows: a(I,J)=1 if 5^I+43^J=1 (mod 47), otherwise a(I,J)=0. 
MATLAB style (row #1 @ the bottom) - granted, an imperfect screen shot...
The displacement vectors between pairs of distinct points are all distinct, which makes it useful, for example, in radar design.