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Finite field transforms are offered as a new tool of spreading sequence design. This approach exploits orthogonality properties of synchronous non-binary sequences defined over a complex finite field. It is promising for channels supporting…

Information Theory · Computer Science 2015-02-23 H. M. de Oliveira , R. M. Campello de Souza

A new Efficient-bandwidth code-division-multiple-access (CDMA) for band-limited channels is introduced which is based on finite field transforms. A multilevel code division multiplex exploits orthogonality properties of nonbinary sequences…

Information Theory · Computer Science 2015-05-18 H. M. de Oliveira , R. M. Campello de Souza , A. N. Kauffman

A new approach to multiple access based on finite field transforms is investigated. These schemes, termed Galois-Division Multiple Access (GDMA), offer compact bandwidth requirements. A new digital transform, the Finite Field Hartley…

Information Theory · Computer Science 2015-02-13 J. P. C. L. Miranda , H. M. de Oliveira

This paper proposes a highly efficient global coded-multiplexing scheme, conceptualized as Orthogonal Frequency Division Multiplexing over a finite field (FF-OFDM), for reliable multiuser communications. By utilizing a prime length cyclic…

Information Theory · Computer Science 2026-05-12 Juane Li , Qi-yue Yu , Khaled Abdel-Ghaffar , Shu Lin

Orthogonal Frequency Division Multiplexing (OFDM) is a multi-carrier modulation scheme that provides efficient bandwidth utilization and robustness against time dispersive channels. This paper deals with the basic system model for OFDM…

Information Theory · Computer Science 2011-11-09 Kaur Inderjeet , Sharma Kanchan , Kulkarni. M

We consider application of the discrete Fourier transform-spread orthogonal frequency-division multiplexing (DFT-spread OFDM) technique to high-speed fiber optic communications. The DFT-spread OFDM is a form of single-carrier technique that…

Information Theory · Computer Science 2011-03-01 Fanggang Wang , Xiaodong Wang

The recently proposed affine frequency division multiplexing (AFDM) is a new transmission waveform that has shown excellent performance in high-mobility environments, making it a sensible option for the next-generation wireless networks. In…

Information Theory · Computer Science 2025-07-15 Mi Qian , Fei Ji , Yao Ge , Miaowen Wen , Yong Liang Guan

An original multiplex scheme is introduced, which is based on Mallat's multiresolution formulation of wavelet systems. This system is adaptable and its implementation is well matched to digital signal processors and computers. The approach…

Information Theory · Computer Science 2015-02-13 H. M. de Oliveira , E. A. Bouton

Spectral efficiency is a key design issue for all wireless communication systems. Orthogonal frequency division multiplexing (OFDM) is a very well-known technique for efficient data transmission over many carriers overlapped in frequency.…

Networking and Internet Architecture · Computer Science 2013-03-28 R. G. Clegg , S. Isam , I. Kanaris , I. Darwazeh

In this paper, a new waveform called discrete Fourier transform spread orthogonal frequency division multiplexing with chirp modulation (DFT-s-OFDM-CM) is proposed for the next generation of wireless communications. The information bits are…

Signal Processing · Electrical Eng. & Systems 2025-08-07 Yujie Liu , Yong Liang Guan , David González G. , Halim Yanikomeroglu

Affine Frequency Division Multiplexing (AFDM), a new chirp-based multicarrier waveform for high mobility communications, is introduced here. AFDM is based on discrete affine Fourier transform (DAFT), a generalization of discrete Fourier…

Information Theory · Computer Science 2022-05-04 Ali Bemani , Nassar Ksairi , Marios Kountouris

Future wireless communication systems are demanding a more flexible physical layer. GFDM is a block filtered multicarrier modulation scheme proposed to add multiple degrees of freedom and cover other waveforms in a single framework. In this…

Information Theory · Computer Science 2015-06-11 Ivan Gaspar , Maximilian Matthé , Nicola Michailow , Luciano Leonel Mendes , Dan Zhang , Gerhard Fettweis

Due to its attractive properties, generalized frequency division multiplexing (GFDM) is recently being discussed as a candidate waveform for the fifth generation of wireless communication systems (5G). GFDM is introduced as a generalized…

Information Theory · Computer Science 2016-04-20 Arman Farhang , Nicola Marchetti , Linda E. Doyle

We study the problem of constructing a graph Fourier transform (GFT) for directed graphs (digraphs), which decomposes graph signals into different modes of variation with respect to the underlying network. Accordingly, to capture low,…

Spectral Theory · Mathematics 2017-06-01 Rasoul Shafipour , Ali Khodabakhsh , Gonzalo Mateos , Evdokia Nikolova

As a candidate waveform for next-generation wireless communications, generalized frequency division multiplexing (GFDM) features several decent properties which make it promising. In this paper, we systematically overview the research about…

Information Theory · Computer Science 2020-08-21 Ching-Lun Tai , Tzu-Han Wang , Yu-Hua Huang

This paper presents a cluster-based transform domain communication system (TDCS) to improve spectrum efficiency. Unlike the utilities of clusters in orthogonal frequency division multiplex (OFDM) systems, the cluster-based TDCS framework…

Networking and Internet Architecture · Computer Science 2012-12-18 Su Hu , Yong Liang Guan , Guoan Bi , Shaoqian Li

We analyze the diversity gain for a distributed antenna subarray employing orthogonal frequency-division multiplexing (OFDM) in millimeter-wave (mm-Wave) massive multiple-input multiple-output (MIMO) systems. We show that the diversity gain…

Information Theory · Computer Science 2021-05-11 Sadjad Sedighi , Ender Ayanoglu

We present Affine Frequency Division Multiplexing (AFDM), a new chirp-based multicarrier transceiver scheme for high mobility communications in next-generation wireless systems. AFDM is based on discrete affine Fourier transform (DAFT), a…

Information Theory · Computer Science 2021-04-26 Ali Bemani , Nassar Ksairi , Marios Kountouris

As the standardization of sixth generation (6G) wireless systems accelerates, there is a growing consensus in favor of evolutionary waveforms that offer new features while maximizing compatibility with orthogonal frequency division…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Hyeon Seok Rou , Vincent Savaux , Zeping Sui , Giuseppe Thadeu Freitas de Abreu , Zilong Liu

Motivated by the looming "capacity crunch" in fiber-optic networks, information transmission over such systems is revisited. Among numerous distortions, inter-channel interference in multiuser wavelength-division multiplexing (WDM) is…

Information Theory · Computer Science 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang
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