Detection, Estimation, and Modulation Theory: Radar-Sonar Signal Processing and Gaussian Signals in Noise
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In this paper, a generalized Fourier transform pair is newly presented for the relationship between the patterns and the corresponding line source distribution functions in the monopulse tracking array antenna synthesis problem. This pair enables the desired patterns and the distributions to be simultaneously extracted by the optimum perturbation of pattern null positions. And the difference patterns with the individually specified sidelobe levels are optimally synthesized by appropriately updating the Taylor line source sum pattern formula. Furthermore the method can be extended to the synthesis of the discrete linear array antennas. The schemes for extracting the excitation current weights are also based on the perturbations of pattern nulls which are represented by the complex root locations on Schelkunoff's unit circle. Examples are given for both the sum and difference patterns with arbitrary sidelobe levels, showing the validity of the proposed method.