Perfect pseudoperiodic binary arrays

Arrays with good correlation properties are required for coded-aperture imaging, as well as for other applications of two-dimensional signal processing. Since binary arrays with perfect periodic autocorrelation are rather sparse, 'pseudoperiodic' binary arrays are discussed. The transmitted binary array is correlated in the receiver with the same array which is surrounded periodically by similar ternary arrays. A construction method is presented that permits the construction of such 'pseudoperiodic' binary arrays with perfect con elation properties for all sizes p(1)(a1) x p(2)(a2) (p(1), p(2) odd prime, a(1), a(2) = 1, 2, 3...).