Title :
Golomb rectangles as folded rulers
Author :
Robinson, John P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Iowa Univ., Iowa City, IA, USA
fDate :
1/1/1997 12:00:00 AM
Abstract :
A correspondence between two-dimensional Golomb rectangles and one-dimensional Golomb rulers is given. Results are translated from rulers to rectangles. The extension of these results to an arbitrary number of dimensions is given. A new bound is developed on the number of ones in a Golomb array of any dimension. Some new optimum Golomb squares, rectangles, and higher dimensional arrays are given
Keywords :
arrays; information theory; Golomb array; Golomb rectangles; folded rulers; higher dimensional arrays; one-dimensional Golomb rulers; optimum Golomb squares; two-dimensional Golomb rectangles; Autocorrelation; Error correction codes; Feedback communications; Frequency; Information theory; Notice of Violation; Sufficient conditions; Telecommunications; Upper bound; Welding;
Journal_Title :
Information Theory, IEEE Transactions on
