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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

This paper presents an experimental validation of decentralized affine transformation (AT) in multi-agent systems using teams of mini-quadcopters. The AT framework enables an agent team to safely navigate constrained, obstacle-rich…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Garegin Mazmanyan , Hossein Rastgoftar

Optical two-dimensional Fourier-transformed (2DFT) spectroscopy is used to study the coherent optical response of potassium vapor in a thin transmission cell. Rephasing and non-rephasing spectra of the D1 and D2 transitions are obtained and…

Atomic Physics · Physics 2011-11-29 X. Dai , A. D. Bristow , D. Karaiskaj , S. T. Cundiff

Speech emotion recognition is crucial to human-computer interaction. The temporal regions that represent different emotions scatter in different parts of the speech locally. Moreover, the temporal scales of important information may vary…

Sound · Computer Science 2023-03-06 Shuaiqi Chen , Xiaofen Xing , Weibin Zhang , Weidong Chen , Xiangmin Xu

The limits of direct unitary transformation of many-fermion Hamiltonians are explored. Practical application of such transformations requires that effective many-body interactions be discarded over the course of a calculation. The…

Strongly Correlated Electrons · Physics 2010-03-15 Jonathan E. Moussa

The potential of applying diffusion models (DMs) for multiple antenna communications is discussed. A unified framework of applying DM for multiple antenna tasks is first proposed. Then, the tasks are innovatively divided into two…

Signal Processing · Electrical Eng. & Systems 2025-02-05 Jia Guo , Xiaoxia Xu , Yuanwei Liu , Arumugam Nallanathan

This paper considers the multi-antenna multiple access relay channel (MARC), in which multiple users transmit messages to a common destination with the assistance of a relay. In a variety of MARC settings, the dynamic decode and forward…

Information Theory · Computer Science 2013-01-08 Chung-Pi Lee , Shih-Chun Lin , Hsuan-Jung Su , H. Vincent Poor

The increased power consumption of high-resolution data converters at higher carrier frequencies and larger bandwidths is becoming a bottleneck for communication systems. In this paper, we consider a fully digital base station equipped with…

Signal Processing · Electrical Eng. & Systems 2022-06-30 Khurram Usman Mazher , Amine Mezghani , Robert W. Heath

This work proposes a new precoded filter bank (FB) system via a two-dimensional (2D) fast Fourier transform (2D-FFT). Its structure is similar to Orthogonal Time Frequency Space (OTFS) systems, where the OFDM transmitter is changed to a…

Information Theory · Computer Science 2022-06-14 R. Pereira Junior , C. A. F. da Rocha , B. S. Chang , D. Le Ruyet

We introduce a new multilevel domain decomposition method (MDD) for electronic structure calculations within semi-empirical and Density Functional Theory (DFT) frameworks. This method iterates between local fine solvers and global coarse…

Computational Physics · Physics 2007-05-23 M. Barrault , E. Cances , W. W. Hager , C. Le Bris

This paper addresses the problem of multi-channel multi-speech separation based on deep learning techniques. In the short time Fourier transform domain, we propose an end-to-end narrow-band network that directly takes as input the…

Sound · Computer Science 2022-04-13 Changsheng Quan , Xiaofei Li

Density functional theory (DFT) is an essential building block for modern theoretical physics, chemistry, and engineering, especially those concerning electronic properties. Through decades of development, various program packages for…

Materials Science · Physics 2022-11-21 Yusuke Nomura , Ryosuke Akashi

There exist many ways to build an orthonormal basis of $\mathbb{R}^N$, consisting of the eigenvectors of the discrete Fourier transform (DFT). In this paper we show that there is only one such orthonormal eigenbasis of the DFT that is…

Classical Analysis and ODEs · Mathematics 2017-06-28 Alexey Kuznetsov , Mateusz Kwaśnicki

Communication systems for multicasting information and energy simultaneously to more than one user are investigated. In the system under study, a transmitter sends the same message and signal to multiple receivers over distinct and…

Information Theory · Computer Science 2019-03-15 Ting-Yi Wu , Anshoo Tandon , Lav R. Varshney , Mehul Motani

We propose a discrete fractional random transform based on a generalization of the discrete fractional Fourier transform with an intrinsic randomness. Such discrete fractional random transform inheres excellent mathematical properties of…

Mathematical Physics · Physics 2007-05-23 Zhengjun Liu , Haifa Zhao , Shutian Liu

We propose HHFT (Hierarchical Heterogeneous Feature Transformer), a Transformer-based architecture tailored for industrial CTR prediction. HHFT addresses the limitations of DNN through three key designs: (1) Semantic Feature Partitioning:…

Information Retrieval · Computer Science 2025-12-16 Liren Yu , Wenming Zhang , Silu Zhou , Tao Zhang , Zhixuan Zhang , Dan Ou

A MIMO dual-function radar communication (DFRC) system transmitting orthogonal time frequency space (OTFS) waveforms is considered. A key advantage of MIMO radar is its ability to create a virtual array, achieving higher sensing resolution…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Kailong Wang , Athina Petropulu

In this paper, we propose the Fourier frequency vector (FFV), inherently, associated with multidimensional Fourier transform. With the help of FFV, we are able to provide physical meaning of so called negative frequencies in…

Information Theory · Computer Science 2019-05-13 Pushpendra Singh , Shiv Dutt Joshi

The increasing penetration of inverter-based resources into the power grid, with often only black-box models available, challenges long-standing frequency control methods. Most recent works take a decentralized approach without online…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Michael Nestor , Jiaxin Wang , Ning Zhang , Fei Teng

Several distributed system paradigms utilize Distributed Hash Tables (DHTs) to realize structured peer-to-peer (P2P) overlays. DHT structures arise as the most commonly used organizations for peers that can efficiently perform crucial…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-23 Yahya Hassanzadeh-Nazarabadi , Sanaz Taheri-Boshrooyeh , Safa Otoum , Seyhan Ucar , Öznur Özkasap
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