Capacity Region Continuity of the Compound Broadcast Channel with\n Confidential Messages

The compound broadcast channel with confidential messages (BCC) generalizes\nthe BCC by modeling the uncertainty of the channel. For the compound BCC, it is\nonly known that the actual channel realization belongs to a pre-specified\nuncertainty set of channels and that it is constant during the whole\ntransmission. For reliable and secure communication is necessary to operate at\na rate pair within the compound BCC capacity region. Therefore, the question\nwhether small variations of the uncertainty set lead to large losses of the\ncompound BCC capacity region is studied. It is shown that the compound BCC\nmodel is robust, i.e., the capacity region depends continuously on the\nuncertainty set.\n