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In order to achieve carrier synchronization using the Costa loop, a Matlab program can be utilized. This program is designed to operate at a carrier frequency of 10mHz. The Costa loop is a method used to track and adjust the phase of a carrier wave, ensuring that it remains in sync with the input signal. In implementing this program, it's important to consider the various parameters that can be adjusted to optimize its performance, such as loop gain and damping factor. Additionally, it may be necessary to make adjustments to the program based on the specific characteristics of the input signal and the environment in which it is being used. By carefully tuning the parameters of the Costa loop program, it is possible to achieve highly accurate carrier synchronization, even in challenging conditions.