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The Leaky Filtered-X Least Mean Square (FXLMS) algorithm is a type of adaptive filter that is used to reduce noise in a signal. This algorithm works by adjusting the coefficients of the filter in real-time to minimize the error between the input signal and the desired output signal. One of the main advantages of the Leaky FXLMS algorithm is that it is able to adapt to changes in the input signal over time. This means that it can be used in a wide range of applications, from audio processing to vibration control. Additionally, the "leaky" component of the algorithm allows for a faster convergence rate, which can be useful in situations where real-time processing is required. Despite its many benefits, the Leaky FXLMS algorithm does have some limitations, including a higher computational cost compared to other adaptive filtering techniques. However, for applications where high accuracy is necessary, the Leaky FXLMS algorithm can be a highly effective solution.