Speech compression has been very important since the development of digital communication, allowing better bandwidth and quality for audio calls. Since then speech compression continues to play a very important role in allowing applications such as VoIP, virtual assistant like Siri and Alexa and others that are in focus today. This project aims to analyze the state of the art of speech compression and produce an report about the subject. Also, an implementation of speech compression with focus on speech recognition using latest algorithms is to be developed.