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Discrete Wavelet Transform (DWT) has been widely explored to enhance the performance of image superresolution (SR). Despite some DWT-based methods improving SR by capturing fine-grained frequency signals, most existing approaches neglect…

Computer Vision and Pattern Recognition · Computer Science 2025-11-05 Peng Du , Hui Li , Han Xu , Paul Barom Jeon , Dongwook Lee , Daehyun Ji , Ran Yang , Feng Zhu

In this study, we propose a framework for chirp-based communications by exploiting discrete Fourier transform-spread orthogonal frequency division multiplexing (DFT-s-OFDM). We show that a well-designed frequency-domain spectral shaping…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Alphan Sahin , Nozhan Hosseini , Hosseinali Jamal , Safi Shams Muhtasimul Hoque , David W. Matolak

With the integration of communication and computing, it is expected that part of the computing is transferred to the transmitter side. In this paper we address the general problem of Frequency Modulation (FM) for function approximation…

Signal Processing · Electrical Eng. & Systems 2023-06-29 Marc Martinez-Gost , Ana Pérez-Neira , Miguel Ángel Lagunas

This review paper examines the concept and advancements in the evolving landscape of Dual-functional Radar Communication (DFRC) systems. Traditionally, radar and communication systems have functioned independently, but current research is…

Signal Processing · Electrical Eng. & Systems 2024-01-02 Ali Hanif , Sajid Ahmed , Tareq Y. Al-Naffouri , Mohamed-Slim Alouin

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

The matrix expressions for every parts of a transformer are firstly described. Based on semi-tensor product (STP) of matrices the hypervectors are reconsidered and the linear transformation over hypervectors is constructed by using…

Machine Learning · Computer Science 2025-04-22 Daizhan Cheng

Dual-functional radar-communication (DFRC) systems can simultaneously perform both radar and communication functionalities using the same hardware platform and spectrum resource. In this paper, we consider multi-input multi-output (MIMO)…

Signal Processing · Electrical Eng. & Systems 2022-01-25 Rang Liu , Ming Li , Qian Liu , A. Lee Swindlehurst

With the continuous development of generative AI's logical reasoning abilities, AI's growing code-generation potential poses challenges for both technical and creative professionals. But how can these advances be directed toward empowering…

Human-Computer Interaction · Computer Science 2025-08-12 Zijian Ding , Qinshi Zhang , Mohan Chi , Ziyi Wang

This summary of the doctoral thesis provides a comprehensive formulation of the Extended Discrete Fourier Transform (EDFT), derived directly from the Fourier integral and its orthogonality properties. The method is obtained by solving…

Data Structures and Algorithms · Computer Science 2026-01-21 Vilnis Liepins

Self-driving cars constantly asses their environment in order to choose routes, comply with traffic regulations, and avoid hazards. To that aim, such vehicles are equipped with wireless communications transceivers as well as multiple…

Information Theory · Computer Science 2021-10-01 Dingyou Ma , Nir Shlezinger , Tianyao Huang , Yimin Liu , Yonina C. Eldar

Subsystem Density-Functional Theory (DFT) is an emerging technique for calculating the electronic structure of complex molecular and condensed phase systems. In this topical review, we focus on some recent advances in this field related to…

Chemical Physics · Physics 2015-06-24 Alisa Krishtal , Debalina Sinha , Alessandro Genova , Michele Pavanello

Using state-of-the-art techniques combining imaging methods and high-throughput genomic mapping tools leaded to the significant progress in detailing chromosome architecture of various organisms. However, a gap still remains between the…

Quantitative Methods · Quantitative Biology 2018-03-28 V. R. Chechetkin , V. V. Lobzin

The problem of constructing an orthogonal set of eigenvectors for a DFT matrix is well studied. An elegant solution is mentioned by Matveev in his paper "Interwining relations between the Fourier transfom and discrete Fourier transform, the…

Numerical Analysis · Computer Science 2017-12-20 Vadim Zaliva

Optoacoustic imaging technologies require fast and accurate signal pre-processing algorithms to enable widespread deployment in clinical and home-care settings. However, they still rely on the Discrete Fourier Transform (DFT) as the default…

In this work we consider a multiple-input multiple-output (MIMO) dual-function radar-communication (DFRC) system, which senses multiple spatial directions and serves multiple users. Upon resorting to an orthogonal frequency division…

Signal Processing · Electrical Eng. & Systems 2022-03-09 Jeremy Johnston , Luca Venturino , Emanuele Grossi , Marco Lops , Xiaodong Wang

In this work, we introduce a definition of the Discrete Fourier Transform (DFT) on Euclidean lattices in $\R^n$, that generalizes the $n$-th fold DFT of the integer lattice $\Z^n$ to arbitrary lattices. This definition is not applicable for…

Quantum Physics · Physics 2017-04-04 Lior Eldar , Peter Shor

A discrete auditory transform (DAT) from sound signal to spectrum is presented and shown to be invertible in closed form. The transform preserves energy, and its spectrum is smoother than that of the discrete Fourier transform (DFT)…

Numerical Analysis · Mathematics 2007-05-23 Jack Xin , Yingyong Qi

There is increasing demand for control of multi-robot and as well distributing large amounts of content to cluster of Unmanned Aerial Vehicles (UAV) on the operation. In recent years several large-scale accidents have happened. To…

Signal Processing · Electrical Eng. & Systems 2020-08-18 Rahim Rahmani , Ramin Firouzi , Theo Kanter

In millimeter-wave (mmWave) dual-function radar-communication (DFRC) systems, hybrid beamforming (HBF) is recognized as a promising technique utilizing a limited number of radio frequency chains. In this work, in the presence of extended…

Signal Processing · Electrical Eng. & Systems 2022-11-07 Ziyang Cheng , Linlong Wu , Bowen Wang , Bhavani Shankar M. R. , Björn Ottersten

In this letter, following a cross-layer design concept, we propose a novel subcarrier grouping technique for Orthogonal Frequency and Code Division Multiplexing (OFCDM) multiuser systems. We adopt a two dimensional (2D) spreading, so as to…

Information Theory · Computer Science 2013-02-20 Nikolaos I. Miridakis , Dimitrios D. Vergados , Emmanouil Papadakis
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