The past decade has witnessed substantial progress towards the application of low-rate speech coders to civilian and military communications as well as computer- related voice applications. Central to this progress has been the development of new speech coders capable of producing high- quality speech at low data rates. Most of these coders incorporate mechanisms to: represent the spectral properties of speech, provide for speech waveform matching, and "optimize" the coder's performance for the human ear. A number of these coders have already been adopted in national and international cellular telephony standards. In mobile communication systems, service providers are continuously met with the challenge of accommodating more users within a limited allocated bandwidth. For this reason, manufactures and service providers are continuously in search of low bit-rate speech coders that deliver toll- quality speech. The objective of this project is to compare three commonly used algorithms in wireless communication systems: ADPCM, CELP and VSELP. The project report starts with the description of these speech coders. Then we present our implementation results and finally give concluding remarks followed by comments on future research in this area.