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The Goertzel algorithm is an efficient method for detecting a specific frequency component in a discrete signal, making it particularly useful in applications like tone detection in telecommunications. It operates by processing the signal in a way that allows for the calculation of the power at a specific frequency using fewer resources than a full Fast Fourier Transform (FFT). The algorithm involves a recursive calculation that updates values based on previous samples, which helps reduce the computational load. Overall, it is especially advantageous for real-time signal processing where only a few frequencies need to be analyzed.

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