Abstract: In this paper， the CS framework is introduced firstly， and then the shortterm stability of speech signal and the sparsity in the discrete cosine transform basis of speech signal are analyzed. Secondly， a new distributed speech signal compression and reconstruction framework based on compressed sensing theory is proposed. Via basis pursuit (BP) and orthogonal matching pursuit (OMP)， it is demonstrated that the performance of reconstruction is correlated with the number of measurements and the length of frames.