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An endpoint detection algorithm that combines expanded spectral subtraction with the SAP (speech absence probability) soft decision is proposed based on traditional methods. The algorithm employs a method of expanded spectral subtraction based on the noise compensation structure, which can estimate the noise during speech presence. A method of endpoint detection based on the SAP soft decision is given, which improves robustness and precision of endpoint detection. The experiments show that better performance can be obtained even if SNR is equal to -10 dB whereas such performance cannot be achieved by traditional energy-based methods with the same SNR.