Results 51 to 60 of about 288,603 (325)

Discrete Fourier transform associated with generalized Schur polynomials

Proceedings of the American Mathematical Society, 2018
We prove the Plancherel formula for a four-parameter family of discrete Fourier transforms and their multivariate generalizations stemming from corresponding generalized Schur polynomials. For special choices of the parameters, this recovers the sixteen classic discrete sine- and cosine transforms DST-1,...,DST-8 and DCT-1,...,DCT-8, as well as ...
J. F. van Diejen, E. Emsiz
openaire   +3 more sources

Variational auto-encoder based deep compressed sensing on Raman spectroscopy

Smart Agricultural Technology
Raman spectroscopy is a non-intrusive and rapid profiling technology. Its hardware depends on an ADC (Analog to Digital Converter) unit to convert photons into electronic signals.
Yinsheng Zhang, Menglei Liu, Haiyan Wang
doaj   +1 more source

Novel modeling of task versus rest brain state predictability using a dynamic time warping spectrum: comparisons and contrasts with other standard measures of brain dynamics

Frontiers in Computational Neuroscience, 2016
Dynamic time warping, or DTW, is a powerful and domain-general sequence alignment method for computing a similarity measure. Such dynamic programming-based techniques like DTW are now the backbone and driver of most bioinformatics methods and discoveries.
Martin eDinov, Romy eLorenz, Gregory eScott, Erik D Fagerholm, David J Sharp, Robert eLeech   +5 more
doaj   +1 more source

Dynamical quantum ergodicity from energy level statistics

Physical Review Research, 2023
Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is reflected in the energy levels and eigenstates of a quantum system is the
Amit Vikram, Victor Galitski
doaj   +1 more source

Ionic Liquid‐Based Reversible Metal Electrodeposition for Adaptive Radiative Thermoregulation Under Extreme Environments

Advanced Functional Materials, EarlyView.
A wideband tunable electrochromic device with dynamic thermal emissivity control is demonstrated. The system enables adaptive heat regulation via electrochemically modulated silver deposition, achieving efficient cooling and heating states. The flexible design ensures mechanical robustness under bending conditions, making it promising for portable and ...
Jiawei Liang, Chenxi Sui, Jiacheng Tian, Genesis Higueros, Ting‐Hsuan Chen, Ronghui Wu, Pei‐Jan Hung, Yang Deng, Natalie Rozman, Willie John Padilla, Po‐Chun Hsu   +10 more
wiley   +1 more source

Mapping Long-Term Spatiotemporal Dynamics of Pen Aquaculture in a Shallow Lake: Less Aquaculture Coming along Better Water Quality

Remote Sensing, 2020
Pen aquaculture is the main form of aquaculture in some shallow lakes in eastern China. It is valuable to map the spatiotemporal changes of pen aquaculture in eutrophic lakes to assess its effect on water quality, thereby helping the relevant decision ...
Juhua Luo, Ruiliang Pu, Ronghua Ma, Xiaolong Wang, Xijun Lai, Zhigang Mao, Li Zhang, Zhaoliang Peng, Zhe Sun   +8 more
doaj   +1 more source

New sign uncertainty principles

Discrete Analysis, 2023
New sign uncertainty principles, Discrete Analysis 2023:9, 46 pp. The famous Heisenberg uncertainty principle is an inequality that states that the product of the variances of a function $f$ and its Fourier transform $\hat f$ is bounded below by an ...
Felipe Gonçalves, Diogo Oliveira e Silva, João Pedro Ramos   +2 more
doaj   +1 more source

A systematic comparison of deep learning methods for EEG time series analysis

Frontiers in Neuroinformatics, 2023
Analyzing time series data like EEG or MEG is challenging due to noisy, high-dimensional, and patient-specific signals. Deep learning methods have been demonstrated to be superior in analyzing time series data compared to shallow learning methods which ...
Dominik Walther, Johannes Viehweg, Jens Haueisen, Patrick Mäder, Patrick Mäder   +4 more
doaj   +1 more source

Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for Polynomial Transforms Based on Induction [PDF]

, 2010
A polynomial transform is the multiplication of an input vector $x\in\C^n$ by a matrix $\PT_{b,\alpha}\in\C^{n\times n},$ whose $(k,\ell)$-th element is defined as $p_\ell(\alpha_k)$ for polynomials $p_\ell(x)\in\C[x]$ from a list $b=\{p_0(x),\dots,p_{n ...
Kovacevic, Jelena, Pueschel, Markus, Sandryhaila, Aliaksei   +2 more
core  

On a q-extension of Mehta's eigenvectors of the finite Fourier transform for q a root of unity [PDF]

, 2009
It is shown that the continuous q-Hermite polynomials for q a root of unity have simple transformation properties with respect to the classical Fourier transform.
Allaway Wm R, Andrews G E, Arik M, Askey R, Askey R A, Atakishiyev N M, Atakishiyev N M, Atakishiyev N M, Berndt B, Biedenharn L C, Dahlquist G, Gasper G, Koekoek R Swarttouw R F, Lidl R, Macfarlane A J, Matveev V B, Mesuma K Atakishiyeva, Natig M Atakishiyev, Serre J-P, Stein E, Terras A, Tom H Koornwinder   +21 more
core   +2 more sources