Simultaneous Information and Energy Transmission in the Two-User Gaussian Interference Channel

International audienceIn this paper, the fundamental limits of simultaneous information and energy transmission (SIET) in the two-user Gaussian interference channel (G-IC) with and without perfect channel-output feedback are approximated by two regions in each case, i.e., an achievable region and a converse region. When the energy transmission rate is normalized by the maximum energy rate, the approximation is within a constat gap. In the proof of achievability, the key idea is the use of power-splitting between two signal components: an information-carrying component and a no-information component. The construction of the former is based on random coding arguments, whereas the latter consists in a deterministic sequence known by all transmitters and receivers. The proof of the converse is obtained via cut-set bounds, genie-aided channel models, Fano's inequality and some concentration inequalities considering that channel inputs might have a positive mean. Finally, the energy transmission enhancement due to feedback is quantified and it is shown that feedback can at most double the energy transmission rate at high signal to noise ratios

Feedback Enhances Simultaneous Wireless Information and Energy Transmission in Multiple Access Channels

In this report, the fundamental limits of simultaneous information and energy transmission in the two-user Gaussian multiple access channel (G-MAC) with and without feedback are fully characterized. More specifically, all the achievable information and energy transmission rates (in bits per channel use and energy-units per channel use, respectively) are identified. Furthermore, the fundamental limits on the individual and sum- rates given a minimum energy rate ensured at an energy harvester are also characterized. In the case without feedback, an achievability scheme based on power-splitting and successive interference cancellation is shown to be optimal. Alternatively, in the case with feedback (G-MAC-F), a simple yet optimal achievability scheme based on power-splitting and Ozarow's capacity achieving scheme is presented. Finally, the energy transmission enhancement induced by the use of feedback is quantified. Feedback can at most double the energy transmission rate at high SNRs when the information transmission sum-rate is kept fixed at the sum-capacity of the G-MAC, but it has no effect at very low SNRs.Comment: INRIA REPORT N{\deg}8804, accepted for publication in IEEE transactions on Information Theory, March, 201

Simultaneous Information and Energy Transmission in Gaussian Interference Channels with Feedback

International audienceIn this paper, the fundamental limits of simultaneous information and energy transmission in the two-user Gaussian interference channel with feedback are fully characterized. More specifically, an achievable and converse region in terms of information and energy transmission rates (in bits per channel use and energy-units per channel use, respectively) are presented. The achievable region is obtained using a combination of rate splitting, power-splitting, common randomness, superposition coding and block Markov decoding. Finally, the converse region is obtained using some of the existing outer bounds for the information transmission rates, as well as a new outer bound for the energy transmission rate

Feedback Enhances Simultaneous Wireless Information and Energy Transmission in Multiple Access Channels

International audienceIn this paper, the fundamental limits of simultaneous information and energy transmission in the two-user Gaussian multiple access channel (G-MAC) with and without feedback are fully characterized. More specifically, all the achievable information and energy transmission rates (in bits per channel use and energy-units per channel use, respectively) are identified. Furthermore, the fundamental limits on the individual and sum-rates given a minimum energy rate ensured at an energy harvester are also characterized. In the case without feedback, an achievability scheme based on power-splitting and successive interference cancellation is shown to be optimal. Alternatively, in the case with feedback (G-MAC-F), a simple yet optimal achievability scheme based on power-splitting and Ozarow's capacity achieving scheme is presented. Finally, the energy transmission enhancement induced by the use of feedback is quantified. Feedback can at most double the energy transmission rate at high SNRs when the information transmission sum-rate is kept fixed at the sum-capacity of the G-MAC, but it has no effect at very low SNRs. Index Terms—Feedback, Gaussian multiple access channel, simultaneous information and energy transmission, RF harvesting, information-energy capacity region

Simultaneous Information and Energy Transmission in the Interference Channel

In this report, the fundamental limits of simultaneous information and energy transmission in the two-user Gaussian interference channel (G-IC) with and without feedback are fully characterized. More specifically, an achievable and converse region in terms of information andenergy transmission rates (in bits per channel use and energy-units per channel use, respectively) are identified. In both cases, with and without feedback, an achievability scheme based on power-splitting, common randomness, rate splitting, block-Markov superposition coding, and backward decoding is presented. Finally, converse regions for both cases are obtained using some of theexisting outer bounds for information transmission rates, as well as a new outer bound for the energy transmission rate.Dans ce rapport, les limites fondamentales de la transmission simultanée d’information et d’énergie dans le canal Gaussien à interférence (G-IC) avec et sans voie de retour sont déterminées. L’ensemble des débits atteignables de transmission d’information et d’énergie (en bits par utilisation du canal et en unités d’énergie par utilisation du canal respectivement) est identifié. Pour les deux cas, un schéma d’atteignabilité est basé sur power-splitting, common randomness, rate splitting, block-Markov superposition coding, et backward decoding est présenté. Finalement, la région converse pour les deux cas est obtenu en utilisant des techniques de majoration dans la littérature pour les débits d’information et aussi un majorant pour le débit d’énergie en utilisant la loi des grands nombre