A Comparative Study on Observation Matrix of Compressed Speech Signal

In the study on compressed sensing of speech signal, the observation matrix is very important for data sampling and signal reconstruction. A useful observation matrix can make the original speech signal to be projected onto a lower dimensional space with all the useful information of the signal. And the signal can be reconstructed with proper algorithms. This paper introduced the theory of speech signal compression and compared several common performance indexes of observation matrix. Finally, it was suggested how to select the observation matrix under different experimental conditions. The experimental results show that compression ratio and frame length are key factors in selecting observation matrix. Selecting observation matrix according to different compression ration and frame length will be helpful to achieve better speech reconstruction effect.