THE FUNDAMENTAL THEOREM OF INFORMATION TRANSMISSION FOR GENERAL MULTI-USER COMMUNICATION NETWORK SYSTEMS
Si Shen · Chinese Annals of Mathematics,series A · 1981
In this paper, we first give a definition of the general multi-user communication network system, and introduce the coding type (u, y, v) and (u_0, y, v) for the general network systems (cf. Fig. 1, 2). We obtain the following results:1. For the above (u' y, v) type network system, in the general sequence model, the Shannon theorem of information transmission, the coding theorem of multi-user channel and their converse hold water;2. The converse coding theorem holds water on the region D (l_(L-J)~((n))) (see(6.4)) for the general sequence model of (u_0, y, v) type network system;3. On the memoryless multi-user channel for (u_0, y, v) type network system, the D(l_(L-J)) is an achievable vetes regionFor the memoryless multiple-access channel, the D(l_(L_J)) is the capacity region,4. For general (u_0, y, v) type multi-user communication network system, we set up a new decoding method, whick is said to be information threshold distinguishing decoding.