The paper presents a new technique for synthesising antenna array pattern with controlled synthesising antenna array pattern with controlled integrate the power response of the array over a spatial region of interest and force it to be less than or equal to a small quantity. The optimal weight vector is obtained by minimising the weight vector norm subject to a linear and aquadratic constraint. Numerical techniques based on matrix factorisation are proposed to reduce the computational complexity. Subsequently, a set of linear constraints, also known as eigenvector constraints, are used to approximate the effect of the quadratic constraint in order to maintain a broad null over the spatial region of interest. This set of eigenvectors can be viewed as an efficient representation of array signals of specified angular occupancy.