%0 Conference Proceedings %T Achievable Information-Energy Region in the Finite Block-Length Regime with Finite Constellations %+ Network Engineering and Operations (NEO ) %+ Laboratoire de Géométrie Algébrique et Applications à la Théorie de l'Information (GAATI) %+ Department of Electrical and Computer Engineering [Princeton] (ECE) %+ Laboratoire Informatique d'Avignon (LIA) %+ Laboratory of Information, Network and Communication Sciences (LINCS) %A Zuhra, Sadaf Ul %A Perlaza, Samir, M. %A Poor, H. Vincent %A Altman, Eitan %Z by the U.S. National Science Foundation under Grant CCF-1908308; and in part by the French Government through the “Plan de Relance” and “Programme d’investissements d’avenir”. %< avec comité de lecture %B ISIT 2022 - IEEE International Symposium on Information Theory %C Espoo, Finland %P 2106-2111 %8 2022-06-26 %D 2022 %R 10.1109/ISIT50566.2022.9834694 %Z Mathematics [math]/Information Theory [math.IT] %Z Computer Science [cs]/Information Theory [cs.IT] %Z Engineering Sciences [physics]/Signal and Image processingConference papers %X This paper characterizes an achievable information-energy region of simultaneous information and energy transmission over an additive white Gaussian noise channel. This analysis is performed in the finite block-length regime with finite constellations. More specifically, a method for constructing a family of codes is proposed and the set of achievable tuples of information rate, energy rate, decoding error probability (DEP) and energy outage probability (EOP) is characterized. Using existing converse results, it is shown that the construction is information rate, energy rate, and EOP optimal. The achieved DEP is, however, sub-optimal. %G English %2 https://inria.hal.science/hal-03563756/document %2 https://inria.hal.science/hal-03563756/file/Achievable%20Information-Energy%20Region%20in%20the%20Finite%20Block-Length%20Regime%20with%20Finite%20Constellations.pdf %L hal-03563756 %U https://inria.hal.science/hal-03563756 %~ INSTITUT-TELECOM %~ UNIV-AVIGNON %~ INRIA %~ INRIA-SOPHIA %~ IRISA %~ INSMI %~ INRIASO %~ OPENAIRE %~ INRIA_TEST %~ TESTALAIN1 %~ INRIA2 %~ UR1-MATH-STIC %~ UR1-UFR-ISTIC %~ UNIV-POLYNESIE %~ UPF %~ 35430 %~ UNIV-COTEDAZUR %~ LIA %~ INRIA-300009 %~ SORBONNE-UNIVERSITE %~ SORBONNE-UNIV %~ INSTITUTS-TELECOM %~ SU-TI %~ ANR %~ UR1-MATH-NUM %~ ALLIANCE-SU %~ INRIA-ETATSUNIS