Covert Wireless Communication with Artificial Noise Generation
It addresses secure communication for scenarios where detection by adversaries must be avoided, offering incremental improvements by extending existing limits with distributed noise generation.
This paper tackles the problem of covert wireless communication by leveraging friendly nodes to generate artificial noise, enabling Alice to reliably and covertly transmit O(min{n, m^{γ/2}√n}) bits to Bob in n channel uses, with specific bounds for multiple adversaries.
Covert communication conceals the transmission of the message from an attentive adversary. Recent work on the limits of covert communication in additive white Gaussian noise (AWGN) channels has demonstrated that a covert transmitter (Alice) can reliably transmit a maximum of $\mathcal{O}\left(\sqrt{n}\right)$ bits to a covert receiver (Bob) without being detected by an adversary (Warden Willie) in $n$ channel uses. This paper focuses on the scenario where other friendly nodes distributed according to a two-dimensional Poisson point process with density $m$ are present in the environment. We propose a strategy where the friendly node closest to the adversary, without close coordination with Alice, produces artificial noise. We show that this method allows Alice to reliably and covertly send $\mathcal{O}(\min\{{n,m^{γ/2}\sqrt{n}}\})$ bits to Bob in $n$ channel uses, where $γ$ is the path-loss exponent. Moreover, we also consider a setting where there are $N_{\mathrm{w}}$ collaborating adversaries uniformly and randomly located in the environment and show that in $n$ channel uses, Alice can reliably and covertly send $\mathcal{O}\left(\min\left\{n,\frac{m^{γ/2} \sqrt{n}}{N_{\mathrm{w}}^γ}\right\}\right)$ bits to Bob when $γ>2$, and $\mathcal{O}\left(\min\left\{n,\frac{m \sqrt{n}}{N_{\mathrm{w}}^{2}\log^2 {N_{\mathrm{w}}}}\right\}\right)$ when $γ= 2$. Conversely, we demonstrate that no higher covert throughput is possible for $γ>2$.