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This paper introduces an anti-jamming technology for satellite communication that can cancel terrestrial jammers. In this paper, we first consider the Conjugate Gradient Method (CGM) as the first adaptive algorithm. Using this method, the attainment of the depth of the nulls and the rate of convergence are shown to be excellent. We also introduce a second novel adaptive algorithm, the hardware complexity of which for real-time implementation remains within the capacity of an off-the-shelf serial processor. A simulator based on the proposed adaptive algorithms is then illustrated to verify the performance of an adaptive system designed for implementation on a geostationary satellite. Finally, we demonstrate a hardware implementation of the adaptive system for canceling terrestrial jammers. Detailed hardware descriptions of an implemented adaptive system - such as the antenna array module, the beamforming module, and the controller module - are illustrated, along with the results of the performance obtained in laboratory tests.