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Space-Time Signal Design for Multilevel Polar Coding in Slow Fading\n Broadcast Channels

2019/05/20 by Hossein Khoshnevis, Khoshnevis, Hossein, Ian Marsland +6
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Advanced Wireless Communication Technologies #Algorithm #Channel (broadcasting) #Channel state information #Coding (social sciences) #Computer science #Cooperative Communication and Network Coding #Decoding methods #Ergodic theory #FOS: Computer and information sciences #Fading #Information Theory (cs.IT) #Mathematics #Polar code #Statistics #Telecommunications #Transmitter #Unavailability #Upper and lower bounds #Wireless #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1905.07876

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2019/05/20 · arxiv created 2019/07/22 · arxiv updated 2019/07/23 · openalex created_date 2022/07/23 · openalex updated_date 2026/08/06

Abstract

Slow fading broadcast channels can model a wide range of applications in\nwireless networks. Due to delay requirements and the unavailability of the\nchannel state information at the transmitter (CSIT), these channels for many\napplications are non-ergodic. The appropriate measure for designing signals in\nnon-ergodic channels is the outage probability. In this paper, we provide a\nmethod to optimize STBCs based on the outage probability at moderate SNRs.\nMultilevel polar coded-modulation is a new class of coded-modulation techniques\nthat benefits from low complexity decoders and simple rate matching. In this\npaper, we derive the outage optimality condition for multistage decoding and\npropose a rule for determining component code rates. We also derive an upper\nbound on the outage probability of STBCs for designing the\nset-partitioning-based labelling. Finally, due to the optimality of the\noutage-minimized STBCs for long codes, we introduce a novel method for the\njoint optimization of short-to-moderate length polar codes and STBCs.\n

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