Version 1
: Received: 27 August 2024 / Approved: 27 August 2024 / Online: 28 August 2024 (13:44:06 CEST)
How to cite:
Costa, M. H. M.; Nair, C.; Ng, D. Critical Points in the Noiseberg Achievable Region of the Gaussian Z-Interference Channel. Preprints2024, 2024082038. https://doi.org/10.20944/preprints202408.2038.v1
Costa, M. H. M.; Nair, C.; Ng, D. Critical Points in the Noiseberg Achievable Region of the Gaussian Z-Interference Channel. Preprints 2024, 2024082038. https://doi.org/10.20944/preprints202408.2038.v1
Costa, M. H. M.; Nair, C.; Ng, D. Critical Points in the Noiseberg Achievable Region of the Gaussian Z-Interference Channel. Preprints2024, 2024082038. https://doi.org/10.20944/preprints202408.2038.v1
APA Style
Costa, M. H. M., Nair, C., & Ng, D. (2024). Critical Points in the Noiseberg Achievable Region of the Gaussian Z-Interference Channel. Preprints. https://doi.org/10.20944/preprints202408.2038.v1
Chicago/Turabian Style
Costa, M. H. M., Chandra Nair and David Ng. 2024 "Critical Points in the Noiseberg Achievable Region of the Gaussian Z-Interference Channel" Preprints. https://doi.org/10.20944/preprints202408.2038.v1
Abstract
The Gaussian signaling strategy with power control for the Gaussian Z-interference channel with weak interference is reviewed in this paper. In particular, we study the various communication strategies that may arise at various points of the capacity region and identify the locations of the phase transitions between the various strategies. The Gaussian Z-interference channel with weak interference is known to have two critical points in its capacity region, where the slope of the region shows a sudden change. They occur at the points of the unconditional maximum rate for one of the users and the maximum rate that can be accommodated by the other user. In this paper, we discuss two additional critical points (locations of phase transitions) in the achievable region of this channel. At these points, we do not observe a discontinuous slope in the achievable rate region, but there is a discontinuity in the second derivative of the rate contour of the achievable region. This review paper is mainly based on some of our ITA (Information Theory and Applications Workshop, UCSD, San Diego, CA, USA) papers since 2011.
Engineering, Electrical and Electronic Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
