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A novel phased-array fed offset paraboloid antenna synthesis technique based on projection matrix algorithm is presented. Far-field of the array fed offset paraboloid antenna is calculated based on Physical Optics theory. The excitation coefficients of the feed array are determined under phase only control constraint. Antenna patterns are synthesized efficiently using PMA. Namely the beam direction, half-power beam width and side-lobe level are well controlled. Numerical simulation results are given to demonstrate the feasibility of the method.