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We extract the frequency content of a noisy signal by use of Discrete Fourier Transform. Our analysis overcomes the limitations imposed by incommensurate lattices. After computing the deterministic component, we show the relevance of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Villani , R. M. Ghigliazza , R. Carmona

We unify the discrete Fourier transform (DFT), discrete cosine transform (DCT), Walsh-Hadamard, Haar wavelet, Karhunen-Lo\`eve transform, and several others along with their continuous counterparts (Fourier transform, Fourier series,…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Mitchell A. Thornton

Identifying multiple speakers without knowing where a speaker's voice is in a recording is a challenging task. This paper proposes a hierarchical network with transformer encoders and memory mechanism to address this problem. The proposed…

Sound · Computer Science 2020-11-02 Yanpei Shi , Mingjie Chen , Qiang Huang , Thomas Hain

In this work, receiver diversity in advection-dominated diffusion-advection channels is investigated. Strong directed flow fundamentally alters the communication-theoretic properties of molecular communication systems (MC). Specifically,…

Signal Processing · Electrical Eng. & Systems 2026-02-02 Fatih Merdan , Ozgur B. Akan

The prospects of utilizing single-carrier (SC) and multi-carrier (MC) waveforms in future terahertz (THz)-band communication systems remain unresolved. On the one hand, the limited multi-path components at high frequencies result in…

Information Theory · Computer Science 2023-10-27 Simon Tarboush , Hadi Sarieddeen , Mohamed-Slim Alouini , Tareq Y. Al-Naffouri

Unsourced random access (URA) has emerged as a candidate paradigm for massive machine-type communication (MTC) in next-generation wireless networks. While many excellent uplink schemes have been developed for URA, these schemes do not…

Information Theory · Computer Science 2022-06-06 Jamison R. Ebert , Krishna R. Narayanan , Jean-Francois Chamberland

The problem of distributed access of a set of N on-off channels by K<N users is considered. The channels are slotted and modeled as independent but not necessarily identical alternating renewal processes. Each user decides to either observe…

Optimization and Control · Mathematics 2015-06-12 Shiyao Chen , Lang Tong

We present an end-to-end multichannel speaker-attributed automatic speech recognition (MC-SA-ASR) system that combines a Conformer-based encoder with multi-frame crosschannel attention and a speaker-attributed Transformer-based decoder. To…

Computation and Language · Computer Science 2023-10-17 Can Cui , Imran Ahamad Sheikh , Mostafa Sadeghi , Emmanuel Vincent

This paper proposes a deep neural network (DNN)-based multi-channel speech enhancement system in which a DNN is trained to maximize the quality of the enhanced time-domain signal. DNN-based multi-channel speech enhancement is often…

Audio and Speech Processing · Electrical Eng. & Systems 2020-02-17 Yoshiki Masuyama , Masahito Togami , Tatsuya Komatsu

Achievable rate regions and outer bounds are derived for three-user interference channels where the transmitters cooperate in a unidirectional manner via a noncausal message-sharing mechanism. The three-user channel facilitates different…

Information Theory · Computer Science 2016-11-17 K. G. Nagananda , Parthajit Mohapatra , Chandra R. Murthy , Shalinee Kishore

The viability of an Augmentative and Alternative Communication device often depends on its ability to adapt to an individual user's unique abilities. Though human input can be noisy, there is often structure to our errors. For example,…

Human-Computer Interaction · Computer Science 2019-10-04 Matt Higger , Fernando Quivira , Deniz Erdogmus

We show that signs of Fourier coefficients, on certain sub-families, determine the half-integral weight cuspidal eigenform uniquely, up to a positive constant. We also study sign change results for the product of the Fourier coefficients of…

Number Theory · Mathematics 2020-01-28 Narasimha Kumar

We consider the problem of transmission of several distributed sources over a multiple access channel (MAC) with side information at the sources and the decoder. Source-channel separation does not hold for this channel. Sufficient…

Information Theory · Computer Science 2008-03-11 R. Rajesh , Vinod Sharma

Recent significant advances in coupling superconducting qubits to acoustic wave resonators has led to demonstrations of quantum control of surface and bulk acoustic resonant modes as well Wigner tomography of quantum states in these modes.…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 É. Dumur , K. J. Satzinger , G. A. Peairs , Ming-Han Chou , A. Bienfait , H. -S. Chang , C. R. Conner , J. Grebel , R. G. Povey , Y. P. Zhong , A. N. Cleland

The extraction of a desired speech signal from a noisy environment has become a challenging issue. In the recent years, the scientific community has particularly focused on multichannel techniques which are dealt with in this review. In…

Sound · Computer Science 2013-01-01 Adel Hidri , Souad Meddeb , Hamid Amiri

We consider a Schroedinger operator on the axis with a bipartite potential consisting of two compactly supported complex-valued functions, whose supports are separated by a large distance. We show that this operator possesses a sequence of…

Mathematical Physics · Physics 2019-10-10 D. I. Borisov , D. A. Zezyulin

We consider the problem of communicating over a channel for which no mathematical model is specified. We present achievable rates as a function of the channel input and output sequences known a-posteriori for discrete and continuous…

Information Theory · Computer Science 2009-08-20 Yuval Lomnitz , Meir Feder

This report will explore and answer fundamental questions about taking Fourier Transforms and tying it with recent advances in AI and neural architecture. One interpretation of the Fourier Transform is decomposing a signal into its…

Sound · Computer Science 2023-08-22 Prateek Verma

A systematic analytic approach to the evaluation of the eigenvalues and eigenvectors of the 5D discrete number operator is formulated. This approach is essentially based on the use of the symmetricity of 5D discrete Fourier transform…

Mathematical Physics · Physics 2022-10-06 Natig Atakishiyev

For certain real analytic data, we show that the eigenvalue sequence of the associated transfer operator L is insensitive to the holomorphic function space on which L acts. Explicit bounds on this eigenvalue sequence are established.

Dynamical Systems · Mathematics 2008-02-12 Oscar F. Bandtlow , Oliver Jenkinson