2-D quasi m-arrays and Gold code arrays

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.>