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In the next generations of cellular communication networks, higher density of base stations and higher frequency bands will be adopted. If being reflected by targets, the communication signal also brings information of the targets, in…

Signal Processing · Electrical Eng. & Systems 2020-11-18 Husheng Li

This correspondence presents an efficient method for reconstructing a band-limited signal in the discrete domain from its crossings with a sine wave. The method makes it possible to design A/D converters that only deliver the crossing…

Information Theory · Computer Science 2016-11-17 J. Selva

This primary purpose of this paper is to succinctly state a number of verifiable and tractable sufficient conditions under which a particular class of conservative signal processing structures may be readily used to solve a companion class…

Numerical Analysis · Computer Science 2015-10-20 Tarek A. Lahlou , Thomas A. Baran

The widespread use of automated voice assistants along with other recent technological developments have increased the demand for applications that process audio signals and human voice in particular. Voice recognition tasks are typically…

Sound · Computer Science 2024-04-01 Radan Ganchev

The forward and inverse wavelet transform using the continuous Morlet basis may be symmetrized by using an appropriate normalization factor. The loss of response due to wavelet truncation is addressed through a renormalization of the…

Data Analysis, Statistics and Probability · Physics 2012-02-28 Robert W. Johnson

Quantum signal processing is a powerful framework in quantum algorithms, playing a central role in Hamiltonian simulation and related applications. The sequence of polynomials implemented at each step of this protocol provides a polynomial…

Quantum Physics · Physics 2026-05-08 Pierre-Antoine Bernard , Nathan Wiebe

Surface-consistent deconvolution is a standard processing technique in land data to uniformize the wavelet across all sources and receivers. The required wavelet estimation step is generally done in the homomorphic domain since this is a…

Information Theory · Computer Science 2012-09-18 Roberto H. Herrera , Mirko van der Baan

An exact and general expression for the analytic wavelet transform of a real-valued signal is constructed, resolving the time-dependent effects of non-negligible amplitude and frequency modulation. The analytic signal is first locally…

Statistics Theory · Mathematics 2011-10-18 Jonathan M. Lilly , Sofia C. Olhede

This chapter is dedicated to recent developments in the field of wavelet analysis for scattered data. We introduce the concept of samplets, which are signed measures of wavelet type and may be defined on sets of arbitrarily distributed data…

Numerical Analysis · Mathematics 2025-03-25 Helmut Harbrecht , Michael Multerer

Semantic Image Synthesis (SIS) is a subclass of image-to-image translation where a semantic layout is used to generate a photorealistic image. State-of-the-art conditional Generative Adversarial Networks (GANs) need a huge amount of paired…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 George Eskandar , Mohamed Abdelsamad , Karim Armanious , Shuai Zhang , Bin Yang

Wavelet denoising is a classical and effective approach for reducing noise in images and signals. Suggested in 1994, this approach is carried out by rectifying the coefficients of a noisy image in the transform domain, using a set of scalar…

Image and Video Processing · Electrical Eng. & Systems 2021-04-07 Yacov Hel-Or , Gil Ben-Artzi

We construct directional wavelet systems that will enable building efficient signal representation schemes with good direction selectivity. In particular, we focus on wavelet bases with dyadic quincunx subsampling. In our previous work, We…

Functional Analysis · Mathematics 2016-10-05 Rujie Yin , Ingrid Daubechies

A high-order convergent and robust numerical solver is constructed and used to find complex eigenwavenumbers and electromagnetic eigenfields of dielectric objects with axial symmetry. The solver is based on Fourier--Nystr\"om discretization…

Computational Physics · Physics 2018-04-04 Johan Helsing , Anders Karlsson

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…

Digital array orthogonal transformations that can be presented as a decomposition over basis items or basis images are considered. The orthogonal transform provides digital data scattering, a process of pixel energy redistributing, that is…

Multimedia · Computer Science 2019-01-24 V. N. Gorbachev , L. A. Denisov , E. M. Kaynarova , I. K. Metelev , E. S. Yakovleva

Implicit neural representations (INRs) mark a fundamental shift in signal modeling, moving from discrete sampled data to continuous functional representations. By parameterizing signals as neural networks, INRs provide a unified framework…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Dhananjaya Jayasundara , Vishal M. Patel

We construct an adaptive asymptotically optimal in the classical norm of the space L(2) of square integrable functions non - parametrical multidimensional time defined signal regaining (adaptive filtration, noise canceller) on the…

Data Analysis, Statistics and Probability · Physics 2008-09-19 Eugene Ostrovsky , Leonid Sirota

Silicon photonic integrated circuits offer significant improvements in processing bandwidth, power efficiency, and low latency, addressing the needs of future microwave communication systems. Several successful applications have been…

This article is written to serve as an introduction and survey of imaging with synthetic aperture radar (SAR). The reader will benefit from having some familiarity with harmonic analysis, electromagnetic radiation, and inverse problems.…

Numerical Analysis · Mathematics 2019-10-24 Toby Sanders , Christian Dwyer , Rodrigo B. Platte

Spectrogram-based representations have grown to dominate the feature space for deep learning audio analysis systems, and are often adopted for speech analysis also. Initially, the primary motivator for spectrogram-based representations was…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-17 Ian McLoughlin , Lam Pham , Yan Song , Xiaoxiao Miao , Huy Phan , Pengfei Cai , Qing Gu , Jiang Nan , Haoyu Song , Donny Soh