Turbo codes:1993(by Claude Berrou) Space-time codes:1998 (by V Tarokh) .Dirty-paper coding.Cooperation via distributed coding and network coding:2000 in D.Giants in the field of digital communications ■Harry Nyquist(1928) Analog signals of bandwidth Wcan be represented by 2W samples/s .Channels of bandwidth W support transmission of 2W symbols/s Claude Shannon (1948) 4/30/1916-2/24/200 .His information theory addressed all the big questions in a single stroke .He thought of both information sources and channels as random and used probability models for them. Most modern communication systems are designed according to the principles laid down by Shannon. e this section,which should have provided some motivation of cod an adage from R.E.Blahut: 10 a communication channel as good as we can is a waste of money use coding instead 9 • Turbo codes: 1993 (by Claude Berrou) • Space-time codes: 1998 (by V. Tarokh) • Dirty-paper coding, Cooperation via distributed coding and network coding: 2000- „ Most of important achievements in digital communications are based on the results of information theory and coding. D. Giants in the field of digital communications „ Harry Nyquist (1928) • Analog signals of bandwidth W can be represented by 2W samples/s • Channels of bandwidth W support transmission of 2W symbols/s „ Claude Shannon (1948) 4/30/1916 – 2/24/2001 • His information theory addressed all the big questions in a single stroke. • He thought of both information sources and channels as random and used probability models for them. • Most modern communication systems are designed according to the principles laid down by Shannon. We conclude this section, which should have provided some motivation for the use of coding, with an adage from R. E. Blahut: “To build a communication channel as good as we can is a waste of money – use coding instead!