一种用于集成感知与通信的叠加信号方案
A Superposition Signaling Scheme for Integrated Sensing and Communication
AI总结：
研究集成感知与通信系统容量，以发射信号集成旁瓣电平为输入代价，简化为特定信道容量问题。提出叠加两个极值输入的信号策略，其速率可精确表达，数值结果显示该策略与容量最坏情况差距约0.043比特。
AI中文摘要：
我们研究了采用正交频分复用的集成感知与通信系统的容量，其中发射信号的集成旁瓣电平被用作输入代价。该问题被简化为功率和峰度约束下的复加性高斯白噪声信道容量问题。感知最优和通信最优工作点分别由圆对称恒模和复高斯输入来表征，而介于两者之间的容量实现输入具有同心多环几何结构的离散幅度支持。我们提出将两个极值输入叠加作为一种简单且可调的信号策略，其速率可通过逐次解码得到精确表达式。数值结果表明，所提出的策略与容量的最坏情况差距约为0.043比特。
英文摘要：
We investigate the capacity of an integrated sensing and communication system operating with orthogonal frequency division multiplexing, where the integrated sidelobe level of the transmit signal is adopted as an input cost. The problem is reduced to the capacity of a complex additive white Gaussian noise channel under power and kurtosis constraints. The sensing-optimal and communication-optimal operating points are characterized by circularly symmetric constant-modulus and complex Gaussian inputs, respectively, while the capacity-achieving input in between has discrete amplitude support with a concentric multi-ring geometry. We propose the superposition of the two extremal inputs as a simple and tunable signaling strategy, whose rate admits an exact expression via successive decoding. Numerical results show that the proposed strategy attains a worst-case gap of approximately 0.043 bits to the capacity.
