Abstract
In this paper, we study a new bus communication model, where two transmitters wish to send their corresponding private messages and a common message to a destination, while they also wish to send the common message to another receiver connected to the same wire. From an information-theoretical point of view, we first study a general case of this new model (with discrete memoryless channels). The capacity region composed of all achievable (R0,R1,R2) triples is determined for this general model, where R1 and R2 are the transmission rates of the private messages and R0 is the transmission rate of the common message. Then, the result is further explained via the Gaussian example. Finally, we give the capacity region for the new bus communication model with additive Gaussian noises and attenuation factors. This new bus communication model captures various communication scenarios, such as the bus systems in vehicles, and the bus type of communication channel in power line communication (PLC) networks.
Highlights
The bus communication model has been widely studied for many years
The model of the broadcast channel was first investigated by Cover [6], and the capacity region of the general case is still not known
Gamal and Cover [11] showed that the Gaussian broadcast channel is a kind of degraded broadcast channel, and the capacity region for the Gaussian case can be directly obtained from the result of the degraded broadcast channel
Summary
The bus communication model has been widely studied for many years. It captures various communication scenarios, such as the bus systems in vehicles, and the bus type of communication channel in power line communication (PLC) networks (see [1,2,3,4,5]). The following theorem 1 shows the capacity region of the model of Figure 2, which is a kind of Gaussian broadcast channel. Theorem 1 is directly obtained from the capacity region of the Gaussian broadcast channel [11], and the proof is omitted here. 3. A Gaussian Example of MAC-DBC and the Capacity Region of the Model of Figure 4. It is easy to see that R reduces to the capacity region of the Gaussian MAC when R0 = 0 From these figures, we can see that R(C) enlarges as σn, and σn, decrease.
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