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We propose a new class of efficient decoding algorithms for Reed-Muller (RM) codes over binary-input memoryless channels. The algorithms are based on projecting the code on its cosets, recursively decoding the projected codes (which are…

Information Theory · Computer Science 2020-02-27 Min Ye , Emmanuel Abbe

In this paper, a new modulation method defined as Ramanujan Periodic Subspace Division Multiplexing (RPSDM) is proposed using Ramanujan subspaces. Each subspace contains an integer valued Ramanujan Sum (RS) and its circular downshifts as a…

Signal Processing · Electrical Eng. & Systems 2019-04-30 Goli Srikanth , Vijay Kumar Chakka , Shaik Basheeruddin Shah

Optical orthogonal frequency division multiplexing (O-OFDM) schemes are variations of OFDM schemes which produce non-negative signals. Asymmetrically-clipped O-OFDM (ACO-OFDM) is a single-layer O-OFDM scheme, whose spectral efficiency can…

Information Theory · Computer Science 2020-05-14 Zhenyu Zhang , Anas Chaaban , Mohamed-Slim Alouini

In this paper, we prove that the sub-field images of generalized Reed-Solomon (RS) codes can achieve the symmetric capacity of p-ary memoryless channels. Unlike the totally random linear code ensemble, as a class of maximum distance…

Information Theory · Computer Science 2025-05-14 Xiangping Zheng , Xiao Ma

In this paper new codes for orthogonal frequency-division multiplexing (OFDM) with tightly controlled peak-to-mean envelope power ratio (PMEPR) are proposed. We identify a new family of sequences occuring in complementary sets and show that…

Information Theory · Computer Science 2007-07-13 Kai-Uwe Schmidt , Adolf Finger

Spectrally and energy efficient orthogonal frequency division multiplexing (SEE-OFDM) is an optical OFDM technique based on combining multiple asymmetrically clipped optical OFDM (ACO-OFDM) signals into one OFDM signal. By summing different…

Information Theory · Computer Science 2015-10-29 Emily Lam , Sarah Kate Wilson , Hany Elgala , Thomas D. C. Little

This work investigates the bit-error-rate (BER) performance of turbo coded orthogonal frequency division multiplexed - offset quadrature amplitude modulated (OFDM- OQAM) signals transmitted through frequency selective Rayleigh fading…

Information Theory · Computer Science 2026-02-24 Kasturi Vasudevan

5G-Advanced and likely 6G will support a new low-power wake-up signal (LP-WUS) enabling low-power devices, equipped with a complementary ultra low-power receiver to monitor wireless traffic, to completely switch off their main radio. This…

Information Theory · Computer Science 2025-06-18 Renaud-Alexandre Pitaval , Xiaolei Tie

We aim at maximizing the sum rate of secondary users (SUs) in OFDM-based Heterogeneous Cognitive Radio (CR) Networks using RF energy harvesting. Assuming SUs operate in a time switching fashion, each time slot is partitioned into three…

Networking and Internet Architecture · Computer Science 2017-05-12 Ali Shahini , Nirwan Ansari

A telecommunication system uses carriers in order to transmit information through a cable or wirelessly. If each time only one carrier is transmitted, then the system s signal will not be immune to frequency selective fading. If frequency…

Signal Processing · Electrical Eng. & Systems 2018-07-10 Spyridon K. Chronopoulos , Vasilis Christofilakis , Giorgos Tatsis , Panos Kostarakis

Polar codes have promising error-correction capabilities. Yet, decoding polar codes is often challenging, particularly with large blocks, with recently proposed decoders based on list-decoding or neural-decoding. The former applies multiple…

Information Theory · Computer Science 2023-02-14 Tomer Raviv , Alon Goldman , Ofek Vayner , Yair Be'ery , Nir Shlezinger

In this paper, we investigate a new waveform for UWB systems obtained by the combination of Orthogonal Frequency Division Multiplex (OFDM) and Code Division Multiple Access (CDMA). The proposed system, called Spread Spectrum - Multi-Carrier…

Computational Physics · Physics 2007-05-23 Emeric Guéguen , Matthieu Crussière , Jean-François Hélard

The Orthogonal Frequency Division Multiplexing (OFDM) is one of the most widely adopted schemes in wireless technologies such as Wi-Fi and LTE due to its high transmission rates, and the robustness against Intersymbol Interference (ISI).…

Signal Processing · Electrical Eng. & Systems 2022-04-26 José Herrera-Bustamante , Vanessa Rodríguez-Ludeña , A. G. Correa-Mena , Diego Barragán-Guerrero

We show that the known list-decoding algorithms for univariate multiplicity and folded Reed-Solomon codes can be made to run in $\tilde{O}(n)$ time. Univariate multiplicity codes and FRS codes are natural variants of Reed-Solomon codes that…

Information Theory · Computer Science 2024-03-13 Rohan Goyal , Prahladh Harsha , Mrinal Kumar , Ashutosh Shankar

This paper proposes Fulcrum network codes, a network coding framework that achieves three seemingly conflicting objectives: (i) to reduce the coding coefficient overhead to almost n bits per packet in a generation of n packets; (ii) to…

Information Theory · Computer Science 2015-11-19 Daniel E. Lucani , Morten V. Pedersen , Diego Ruano , Chres W. Sørensen , Frank H. P. Fitzek , Janus Heide , Olav Geil

This paper investigates rate-splitting (RS) precoding for non-orthogonal unicast and multicast (NOUM) transmissions using fully-digital and hybrid precoders. We study the nonconvex weighted sum-rate (WSR) maximization problem subject to a…

Information Theory · Computer Science 2022-01-26 Luis F. Abanto-Leon , Matthias Hollick , Bruno Clerckx , Gek Hong Sim

In this paper we provide a detailed description of Reed-Solomon (RS) codes, the most important algorithms for decoding them, and their use in concatenated coding systems for space applications. In the current literature there is scattered…

Information Theory · Computer Science 2016-08-16 Polykarpos Thomadakis , Antonios Argyriou

Evaluating natural language generation models, particularly for method name prediction, poses significant challenges. A robust metric must account for the versatility of method naming, considering both semantic and syntactic variations.…

Computation and Language · Computer Science 2024-08-14 Ravil Mussabayev

It is well known that Space-Time Block Codes (STBCs) from orthogonal designs (ODs) are single-symbol decodable/symbol-by-symbol decodable (SSD) and are obtainable from unitary matrix representations of Clifford algebras. However, SSD codes…

Information Theory · Computer Science 2007-12-17 Sanjay Karmakar , B. Sundar Rajan

This paper presents a new class of sparse superposition codes for low-rates and short-packet communications over the additive white Gaussian noise channel. The new code is orthogonal sparse superposition (OSS) code. A codeword of OSS codes…

Information Theory · Computer Science 2020-11-24 Yunseo Nam , Jeonghun Park , Songnam Hong , Namyoon Lee