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This paper describes a method using the planar circuit technique together with the Generalized Cavity Model (GCM) and segmentation/desegmentation methods to calculate the resonant frequency and input reflection coefficient of a pixel patch antenna. Tree and graph representations are developed to represent the pixel patch antenna and to reduce the antenna to a network of connected ports. The segmentation technique in conjunction with the multiport connection method is used to find the resonant frequency and input impedance of the antenna. Compared to full-wave solvers, this model is computationally much faster and its accuracy is adequate for deployment in the control of pixel patch antennas.