Optimization techniques for antenna arrays

Various techniques for optimizing the performance indices of antenna arrays are discussed. In particular, methods for maximizing array directivity and signal-to-noise power ratio are reviewed. These performance indices are expressible as a ratio of two Hermitian forms, which has a certain special property to enable the facile determination of both its maximum value and the conditions under which this maximum is attained. Special maximization procedures by excitation amplitude and phase adjustments, by spacing perturbation, by phase adjustments only, and by a coordinate transformation with constraints on the array pattern are examined. For wire antennas the method of moments using a subsectioning technique can be applied to obtain numerical answers which include mutual-coupling effects. Methods for considering large arrays and for the maximization of power gain are indicated.

[1]  Roger F. Harrington,et al.  Antenna excitation for maximum gain , 1965 .

[2]  C.L. Dolph,et al.  A Current Distribution for Broadside Arrays Which Optimizes the Relationship between Beam Width and Side-Lobe Level , 1946, Proceedings of the IRE.

[3]  M. Uzsoky,et al.  Theory of super-directive linear arrays , 1956 .

[4]  David K. Cheng,et al.  Pencil-beam synthesis for large circular arrays , 1970 .

[5]  D. Cheng,et al.  Optimum spatial processing in a noisy environment for arbitrary antenna arrays subject to random errors , 1968 .

[6]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[7]  E. Gilbert,et al.  Optimum design of directive antenna arrays subject to random variations , 1955 .

[8]  C. Drane,et al.  Gain maximization and controlled null placement simultaneously achieved in aerial array patterns , 1970 .

[9]  David K. Cheng,et al.  SPACING PERTURBATION TECHNIQUES FOR ARRAY OPTIMIZATION , 1968 .

[10]  David K. Cheng,et al.  Optimum scannable planar arrays with an invariant sidelobe level , 1968 .

[11]  A. T. Adams,et al.  Modern Analysis Methods for EMC , 1970 .

[12]  L. Mirsky,et al.  The Theory of Matrices , 1961, The Mathematical Gazette.

[13]  R. G. Medhurst,et al.  A new approach to the design of super-directive aerial arrays , 1953 .

[14]  D. K. Cheng,et al.  Maximisation of directive gain for circular and elliptical arrays , 1967 .

[15]  M. Ma,et al.  A critical study of linear arrays with equal side lobes , 1961 .

[16]  R. Harrington.  Matrix methods for field problems , 1967 .

[17]  David K. Cheng,et al.  Signal-to-noise ratio maximization for receiving arrays , 1966 .

[18]  Chen Tai.  The optimum directivity of uniformly spaced broadside arrays of dipoles , 1964 .

[19]  David K Cheng.  Antenna Optimization Criteria , 1971 .

[20]  Y. Lo,et al.  Optimization of directivity and signal-to-noise ratio of an arbitrary antenna array , 1966 .

[21]  David K. Cheng,et al.  Gain optimization for arbitrary antenna arrays subject to random fluctuations , 1967 .

[22]  David K. Cheng,et al.  Gain optimization for arbitrary antenna arrays , 1965 .