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Accurate spectrum prediction is crucial for dynamic spectrum access (DSA) and resource allocation. However, due to the unique characteristics of spectrum data, existing methods based on the time or frequency domain often struggle to…

Machine Learning · Computer Science 2025-08-26 Yanghao Qin , Bo Zhou , Guangliang Pan , Qihui Wu , Meixia Tao

The nonlinear Fourier transform (NFT) decomposes waveforms propagating through optical fiber into nonlinear degrees of freedom, which are preserved during transmission. By encoding information on the nonlinear spectrum, a transmission…

Signal Processing · Electrical Eng. & Systems 2020-12-24 Jan-Willem Goossens , Hartmut Hafermann , Yves Jaouën

The joint detection and classification of RF signals has been a critical problem in the field of wideband RF spectrum sensing. Recent advancements in deep learning models have revolutionized this field, remarkably through the application of…

Signal Processing · Electrical Eng. & Systems 2024-08-14 Xiwen Kang , Hua-mei Chen , Genshe Chen , Kuo-Chu Chang , Thomas M. Clemons

Recent progress in image deblurring techniques focuses mainly on operating in both frequency and spatial domains using the Fourier transform (FT) properties. However, their performance is limited due to the dependency of FT on stationary…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Subhajit Paul , Sahil Kumawat , Ashutosh Gupta , Deepak Mishra

Nonlinearity mitigation using digital signal processing has been shown to increase the achievable data rates of optical fiber transmission links. One especially effective technique is digital back propagation (DBP), an algorithm capable of…

Signal Processing · Electrical Eng. & Systems 2018-08-31 Tom Sherborne , Benjamin Banks , Daniel Semrau , Robert I. Killey , Polina Bayvel , Domaniç Lavery

We propose a neural network for both forward and inverse continuous nonlinear Fourier transforms, NFT and INFT respectively. We demonstrate the network's capability to perform NFT and INFT for a random mix of NFDM-QAM signals. The network…

Signal Processing · Electrical Eng. & Systems 2024-07-17 Wen Qi Zhang , Terence H. Chan , Shahraam Afshar V.

Polarization-division multiplexed (PDM) transmission based on the nonlinear Fourier transform (NFT) is proposed for optical fiber communication. The NFT algorithms are generalized from the scalar nonlinear Schr\"odinger equation for one…

Information Theory · Computer Science 2017-11-22 Jan-Willem Goossens , Mansoor I. Yousefi , Yves Jaouën , Hartmut Hafermann

The evolution toward sixth-generation (6G) wireless networks demands high-performance transceiver architectures capable of handling complex and dynamic environments. Conventional orthogonal frequency-division multiplexing (OFDM) receivers…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Yi Luo , Luping Xiang , Cheng Luo , Kun Yang , Shida Zhong , Jienan Chen

Manufacturers struggle to produce low-cost, robust and complex components at manufacturing lot-size one. Additive processes like Fused Filament Fabrication (FFF) inexpensively produce complex geometries, but defects limit viability in…

Image and Video Processing · Electrical Eng. & Systems 2019-11-14 Joshua E. Siegel , Maria F. Beemer , Steven M. Shepard

A novel method for correcting the effect of nonlinear distortion in orthogonal frequency division multiplexing signals is proposed. The method depends on adaptively selecting the distortion over a subset of the data carriers, and then using…

Information Theory · Computer Science 2015-07-01 Ebrahim B. Al-Safadi , Tareq Y. Al-Naffouri , Mudassir Masood , Anum Ali

In this paper, we study the impact of computational complexity on the throughput limits of the {\color{black}fast Fourier transform (FFT)} algorithm for {\color{black}orthogonal frequency division multiplexing(OFDM)} waveforms. Based on the…

Signal Processing · Electrical Eng. & Systems 2022-09-30 Saulo Queiroz , João P. Vilela , Edmundo Monteiro

Most speech enhancement algorithms make use of the short-time Fourier transform (STFT), which is a simple and flexible time-frequency decomposition that estimates the short-time spectrum of a signal. However, the duration of short STFT…

Sound · Computer Science 2015-09-03 Scott Wisdom , Thomas Powers , Les Atlas , James Pitton

The discrete Fourier transform (DFT) is widely employed for multi-beam digital beamforming. The DFT can be efficiently implemented through the use of fast Fourier transform (FFT) algorithms, thus reducing chip area, power consumption,…

Signal Processing · Electrical Eng. & Systems 2022-07-14 A. Madanayake , R. J. Cintra , N. Akram , V. Ariyarathna , S. Mandal , V. A. Coutinho , F. M. Bayer , D. Coelho , T. S. Rappaport

Discrete Fractional Fourier Transforms (DFrFT) are universal mathematical tools in signal processing, communications and microwave sensing. Despite the excessive applications of DFrFT, implementation of corresponding fractional orders in…

Systems and Control · Electrical Eng. & Systems 2024-08-22 Rasool Keshavarz , Negin Shariati , Mohammad-Ali Miri

Frame-online speech enhancement systems in the short-time Fourier transform (STFT) domain usually have an algorithmic latency equal to the window size due to the use of overlap-add in the inverse STFT (iSTFT). This algorithmic latency…

Sound · Computer Science 2022-07-13 Zhong-Qiu Wang , Shinji Watanabe

Non-line-of-Sight (NLOS) imaging systems collect light at a diffuse relay surface and input this measurement into computational algorithms that output a 3D volumetric reconstruction. These algorithms utilize the Fast Fourier Transform (FFT)…

Image and Video Processing · Electrical Eng. & Systems 2025-01-14 Talha Sultan , Alex Bocchieri , Chaoying Gu , Xiaochun Liu , Pavel Polynkin , Andreas Velten

In this article, we develop comprehensive frequency domain methods for estimating and inferring the second-order structure of spatial point processes. The main element here is on utilizing the discrete Fourier transform (DFT) of the point…

Methodology · Statistics 2025-01-24 Junho Yang , Yongtao Guan

This paper details the purpose, difficulties, theory, implementation, and results of developing a Fast Fourier Transform (FFT) using the prime factor algorithm on an embedded system. Many applications analyze the frequency content of…

Hardware Architecture · Computer Science 2025-01-22 Josh Vernon , D. G. Perera

The one-dimensional (1D) fractional Fourier transform (FRFT) generalizes the Fourier transform, offering significant advantages in the time-frequency analysis of non-stationary signals. While various 2D extensions exist, such as the 2D…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Daxiang Li , Zhichao Zhang , Wei Yao

Supervision of the physical layer of optical networks is an extremely relevant subject. To detect fiber faults, single-ended solutions such as the Optical Time Domain Reflectometer (OTDR) allow for precise measurements of fault profiles.…

Signal Processing · Electrical Eng. & Systems 2018-12-20 Michael Lunglmayr , Gustavo C. Amaral