We consider a basic communication and sensing setup comprising a transmitter, a receiver and a sensor. The transmitter sends an encoded sequence to the receiver through a discrete memoryless channel, and the receiver is interested in decoding the sequence. On the other hand, the sensor picks up a noisy version of the transmitted sequence through one of two possible discrete memoryless channels. The sensor knows the transmitted sequence and wishes to discriminate between the two possible channels, i.e. to identify the channel that has generated the output given the input. We study the trade-off between communication and sensing in the asymptotic regime, captured in terms of the coding rate to the receiver against the discrimination error exponent at the sensor. We characterize the optimal rate-exponent trade-off for general discrete memoryless channels with an input cost constraint.

翻译：我们考虑的是由发射机、接收器和传感器组成的基本的通信和感应装置。发射机通过一个离散的无记忆通道向接收器发送编码序列,接收器有兴趣解码序列。另一方面,传感器通过两个可能的离散的无记忆通道之一接收传输序列的噪音版本。传感器知道传输序列,并希望区分两种可能的渠道,即确定生成输入输出的渠道。我们研究了在无记忆系统中通信和感应之间的平衡,以编码率的方式记录给接收器,以对抗感应器中的歧视错误。我们用输入成本限制来描述普通离散的无记忆通道的最佳速率交换。