The identification (ID) capacity region of the compound broadcast channel is determined under an average error criterion, where the sender has no channel state information. We give single-letter ID capacity formulas for discrete channels and MIMO Gaussian channels, under an average input constraint. The capacity theorems apply to general broadcast channels. This is in contrast to the transmission setting, where the capacity is only known for special cases, notably the degraded broadcast channel and the MIMO broadcast channel with private messages. Furthermore, the ID capacity region of the compound MIMO broadcast channel is in general larger than the transmission capacity region. This is a departure from the single-user behavior of ID, since the ID capacity of a single-user channel equals the transmission capacity.

翻译：复式广播频道的识别能力(ID)区域根据平均错误标准确定,发送者没有频道状态信息;我们根据平均输入限制,为离散频道和MIMO Gaussian频道提供单字母识别能力公式;能力定理适用于普通广播频道;这与传输环境形成对照,因为只有特殊情况才具备这种能力,特别是退化的广播频道和有私人信息的MIMO广播频道;此外,复装MIMO广播频道的识别能力区域一般大于传输能力区域;这背离了ID的单一用户行为,因为单一用户频道的识别能力等于传输能力。