ABSTRACT

Since Shannon published his seminal paper “A Mathematical Theory of Communication” in 1948 [4], information theory has developed for more than 60 years. In Shannon’s time, the communications system was a simple end-to-end telegraph. There were two fundamental problems to be solved. The first one was entropy-approached source coding. This problem was solved early on with arithmetic coding. The second problem was to study how to complete transmissions approaching the capacity of a channel, especially an end-to-end channel. When Turbo code was invented in 1993 [18,19] and LDPC code was re-invented in 1996 [17], the problem of capacityapproached channel codes was also solved.