The singular value decomposition applied to linear imaging with rectangular arrays

Two-dimensional arrays find applications in many imaging systems. The concept of the sum coarray of an active imaging system is used to develop techniques which allow a (P+Q)-element, L-shaped array to perform as well as a filled rectangular array composed of (P+1)(Q+1)/2 elements. This result is true for linear, narrowband imaging of far-field objects, and is achieved through additional processing of the data obtained from the L-shaped array. A convenient procedure is formulated in terms of the singular value decomposition of a particular matrix, after which the technique is extended to other array geometries and to passive imaging