Modular Arithmetic Erasure Channels and Their Multilevel Channel Polarization
نویسندگان
چکیده
منابع مشابه
Asymptotic Distribution of Multilevel Channel Polarization for a Certain Class of Erasure Channels
This study examines multilevel channel polarization for a certain class of erasure channels that the input alphabet size is an arbitrary composite number. We derive asymptotic proportions of partially noiseless channels for such a class. The results of this study are proved by an argument of convergent sequences, inspired by Alsan and Telatar’s simple proof of polarization [1], and without mart...
متن کاملThe Arithmetic Subgroups and Their Modular Forms
Arithmetic subgroups are finite index subgroups of the modular group. Classically, congruence arithmetic subgroups, which can be described by congruence relations, are playing important roles in group theory and modular forms. In reality, the majority of arithmetic subgroups are noncongruence. These groups as well as their modular forms are central players of this survey article. Differences be...
متن کاملJoint Cache-Channel Coding over Erasure Broadcast Channels
We consider a cache-aided communications system in which a transmitter communicates with many receivers over an erasure broadcast channel. The system serves as a basic model for communicating on-demand content during periods of high network congestion, where some content can be preplaced in local caches near the receivers. We formulate the cacheaided communications problem as a joint cache-chan...
متن کاملQuantized Frame Expansions as Source-Channel Codes for Erasure Channels
Quantized frame expansions are proposed as a method for generalized multiple description coding where each quantized coe cient is a description Whereas previous investigations have revealed the robustness of frame expansions to additive noise and quantization this represents a new application of frame expansions The performance of a system based on quantized frame expansions is compared to that...
متن کاملA Generalized Modular Multilevel Current Source Inverter
This paper proposes a novel topology of multilevel current source inverter which is suitable to apply in low/medium voltage. The proposed topology is capable of producing desirable bidirectional output current levels. Furthermore, it can employ symmetrical DC current sources as well as asymmetrical ones which is a significant advantage. Asymmetrical mode makes it possible to generate a great nu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2020
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2020.2996977