On Covert Communication Over Infinite-Bandwidth Gaussian Channels

Ligong Wang (1)

1 ETIS - UMR 8051 - Equipes Traitement de l'Information et Systèmes

We consider a problem of communication over a continuous-time additive Gaussian noise channel. A covertness constraint is imposed on the communication protocol, which says that the channel output must statistically resemble pure noise. When there is no bandwidth constraint on the input, we argue that the covert communication capacity of this channel is positive, in contrast to the band-limited case where covertness requires that the amount of transmission grow at most like the square root of total communication time. This claim is formally proven in the case where the Gaussian noise is white with respect to the bandwidth used by the transmitter.

Mots clés: Covert communication; low probability of detection; Gaussian channel; continuous time; waveform channel

Domaines: Théorie de l'information [cs.IT]

Ligong Wang. On Covert Communication Over Infinite-Bandwidth Gaussian Channels. 19th IEEE International Workshop on Signal Processing Advances in Wireless Communications (SPAWC 2018), Jun 2018, Kalamata, Greece. ⟨10.1109/SPAWC.2018.8445976⟩. ⟨hal-01793829⟩