Inspired by Costa's pioneering work on dirty paper coding (DPC), this paper proposes a novel scheme for integrated communication and computing (ICC), named Computing on Dirty Paper, whereby the transmission of discrete data symbols for communication, and over-the-air computation (AirComp) of nomographic functions can be achieved simultaneously over common multiple-access channels. In particular, the proposed scheme allows for the integration of communication and computation in a manner that is asymptotically interference-free, by precanceling the computing symbols at the transmitters (TXs) using DPC principles. A simulation-based assessment of the proposed ICC scheme under a single-input multiple-output (SIMO) setup is also offered, including the evaluation of performance for data detection, and of mean-squared-error (MSE) performance for function computation, over a block of symbols. The results validate the proposed method and demonstrate its ability to significantly outperform state-of-the-art (SotA) ICC schemes in terms of both bit error rate (BER) and MSE.

翻译：受科斯塔关于脏纸编码的开创性工作启发，本文提出了一种名为“基于脏纸的计算”的新型集成通信与计算方案，该方案能够在公共多址信道上同时实现离散数据符号的通信传输和诺莫图函数的空中计算。具体而言，所提方案通过利用脏纸编码原理在发射端预消除计算符号，实现了通信与计算以渐近无干扰方式的集成。本文还在单输入多输出设置下对所提集成通信与计算方案进行了基于仿真的评估，包括在符号块上评估数据检测性能以及函数计算的均方误差性能。结果验证了所提方法的有效性，并证明其在误码率和均方误差方面均显著优于当前最先进的集成通信与计算方案。