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Fast Fourier Transform (FFT) is an efficient algorithm to compute the Discrete Fourier Transform (DFT) and its inverse. In this paper, we pay special attention to the description of complex-data FFT. We analyze two common descriptions of…

Numerical Analysis · Computer Science 2011-10-28 Zhengjun Cao , Xiao Fan

We consider two uniploar OFDM techniques for optical wireless communications: asymmetric clipped optical OFDM (ACO-OFDM) and Flip-OFDM. Both techniques can be used to compensate multipath distortion effects in optical wireless channels.…

Information Theory · Computer Science 2016-11-15 Nirmal Fernando , Yi Hong , Emanuele Viterbo

Orthogonal frequency-division multiplexing (OFDM) is a dominant waveform in modern wireless systems, yet its high peak-to-average power ratio (PAPR) and limited adaptability hinder efficient support for integrated communication and sensing.…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Cheng Luo , Luping Xiang , Hankun Zhang , Yi Luo , Chen Huang , Yi Zhang , Cheng-Xiang Wang , Kun Yang

In this work, we present the \emph{twiddless fast Fourier transform (TFFT)}, a novel algorithm for computing the $N$-point discrete Fourier transform (DFT). The TFFT's divide strategy builds on recent results that decimate an $N$-point…

Computational Complexity · Computer Science 2025-12-23 Saulo Queiroz

With the increasing demand for multi-carrier communication in high-mobility scenarios, it is urgent to design new multi-carrier communication waveforms that can resist large delay-Doppler spreads. Various multi-carrier waveforms in the…

Signal Processing · Electrical Eng. & Systems 2024-06-05 Xingyao Zhang , Haoran Yin , Yanqun Tang , Yu Zhou , Yuqing Liu , Jinming Du , Yipeng Ding

This paper investigates the system achievable rate and optimization for the multiple-input multiple-output (MIMO)-orthogonal frequency division multiplexing (OFDM) system with an energy harvesting (EH) relay. Firstly we propose a time…

Information Theory · Computer Science 2015-01-06 Guanyao Du , Zhilong Dong , Ke Xiong , Zhengding Qiu

Affine frequency division multiplexing (AFDM), an emerging multi-carrier modulation scheme, has garnered significant attention due to its resilience to Doppler shifts and capability to achieve full diversity in doubly dispersive channels.…

Signal Processing · Electrical Eng. & Systems 2026-04-17 Taohe Chen , Yin Xu , Tianyao Ma , Aimin Tang , Qu Luo , Dazhi He , Wenjun Zhang

Cognitive radios hold tremendous promise for increasing the spectral efficiency of wireless communication systems. In this paper, an adaptive bit allocation algorithm is presented for orthogonal frequency division multiplexing (OFDM) CR…

Information Theory · Computer Science 2019-02-11 Ebrahim Bedeer , Mohamed Marey , Octavia Dobre , Kareem Baddour

Multiple-input multiple-output orthogonal frequency division multiplexing with index modulation (MIMO-OFDM-IM) is a novel multicarrier transmission technique which has been proposed recently as an alternative to classical MIMO-OFDM. In this…

Information Theory · Computer Science 2016-04-26 Ertugrul Basar

The sixth-generation (6G) wireless networks are envisioned to provide a global coverage for the intelligent digital society of the near future, ranging from traditional terrestrial to non-terrestrial networks, where reliable communications…

Information Theory · Computer Science 2021-02-04 Zhiqiang Wei , Weijie Yuan , Shuangyang Li , Jinhong Yuan , Ganesh Bharatula , Ronny Hadani , Lajos Hanzo

We investigate an orthogonal frequency-division multiplexing (OFDM)-based downlink transmission scheme for large-scale multi-user (MU) multiple-input multiple-output (MIMO) wireless systems. The use of OFDM causes a high peak-to-average…

Information Theory · Computer Science 2012-09-06 Christoph Studer , Erik G. Larsson

Affine Frequency Division Multiplexing (AFDM) has been regarded as a candidate integrated sensing and communications (ISAC) waveform owing to its superior communication performance, outperforming the Orthogonal Time-Frequency Space (OTFS)…

Signal Processing · Electrical Eng. & Systems 2025-09-05 Yuanfang Ma , Zulin Wang , Peng Yuan , Qin Huang , Yuanhan Ni

Polynomial-cancellation-coded orthogonal frequency division multiplexing (PCC-OFDM) is a form of OFDM that has waveforms which are very well localized in both the time and frequency domains and so it is ideally suited for use in the 5G…

Signal Processing · Electrical Eng. & Systems 2018-10-12 Gayathri Kongara , Lei Yang , Cuiwei He , Jean Armstrong

Channel estimation is one of the most important parts in current mobile communication systems. Among the huge contributions in channel estimation studies, the discrete Fourier transform (DFT)-based channel estimation has attracted lots of…

Information Theory · Computer Science 2015-04-29 H. Yu , C. Yang

Orthogonal Frequency Division Multiplexing with Offset Quadrature Amplitude Modulation (OFDM/OQAM) is a multicarrier modulation scheme that can be considered as an alternative to the conventional Orthogonal Frequency Division Multiplexing…

Information Theory · Computer Science 2015-01-08 Ilhem Blel , Ridha Bouallegue

Orthogonal frequency division multiplexing (OFDM) is one of the dominant waveforms in wireless communication systems due to its efficient implementation. However, it suffers from a loss of spectral efficiency as it requires a cyclic prefix…

Information Theory · Computer Science 2021-04-15 Fayçal Ait Aoudia , Jakob Hoydis

Terahertz (THz) communications are envisioned as a key technology of next-generation wireless systems due to its ultra-broad bandwidth. One step forward, THz integrated sensing and communication (ISAC) system can realize both unprecedented…

Signal Processing · Electrical Eng. & Systems 2022-11-30 Yongzhi Wu , Filip Lemic , Chong Han , Zhi Chen

In optical communication systems, orthogonal frequency division multiplexing (OFDM) is widely used to combat inter-symbol interference (ISI) caused by multipath propagation. Optical systems which use intensity modulation and direct…

Information Theory · Computer Science 2024-10-28 Gokce Hacioglu , Kadir Turk , Cenk Albayrak

We consider finite approximations of a fractal generated by an iterated function system of affine transformations on $\mathbb{R}^d$ as a discrete set of data points. Considering a signal supported on this finite approximation, we propose a…

Functional Analysis · Mathematics 2016-07-14 Calvin Hotchkiss , Eric S. Weber

Affine Frequency Division Multiplexing (AFDM) is a brand new chirp-based multi-carrier (MC) waveform for high mobility communications, with promising advantages over Orthogonal Frequency Division Multiplexing (OFDM) and other MC waveforms.…

Information Theory · Computer Science 2025-05-06 Rongyou Cao , Yuheng Zhong , Jiangbin Lyu , Deqing Wang , Liqun Fu