A general method of antenna pattern synthesis using weighted least squares is presented. The special case of linear equal spaced arrays is analysed, and three design examples are given. This design technique is compared with Woodward synthesis and with the method of Orchard, Elliott and Stern. An example using unequal spacing is also presented. The method can also be used on nonlinear arrays, for arrays with different element patterns on each element, and for near-field pattern synthesis.