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This paper introduces a design method for densergraph-frequency graph Fourier frames (DGFFs) to enhance graph signal processing and analysis. The graph Fourier transform (GFT) enables us to analyze graph signals in the graph spectral domain…

Signal Processing · Electrical Eng. & Systems 2025-03-18 Kaito Nitani , Seisuke Kyochi

In this paper, we extend our method [1] for FMCW radar mutual interference mitigation (IM) based on the discrete fractional Fourier transform (DFrFT). Firstly, we propose a radar signal processing chain including our DFrFT-based IM for…

Signal Processing · Electrical Eng. & Systems 2026-05-01 Christian Oswald , Josef Kulmer , Franz Pernkopf

We introduce a fast algorithm for computing sparse Fourier transforms supported on smooth curves or surfaces. This problem appear naturally in several important problems in wave scattering and reflection seismology. The main observation is…

Numerical Analysis · Mathematics 2008-01-11 Lexing Ying

This paper presents a new approach on stretch processing for a fine range estimation using MPM (Matrix Pencil Method). The conventional method utilizes FFT (Fast Fourier Transform) with limited range resolution with its fixed number of…

Computational Physics · Physics 2012-09-12 Minwook Kwon , Zhou Du , Jinwook Kim , Mingyu Yoon , Jinhwan Koh

In this paper, we study composite mapping on hesitant fuzzy soft classes. We also establish some interesting properties of this notion and support them with examples. Also definitions of fuzzy soft image and fuzzy soft inverse image put…

General Mathematics · Mathematics 2016-05-05 Manash Jyoti Borah , Bipan Hazarika

In digital signal processing time-frequency transforms are used to analyze time-varying signals with respect to their spectral contents over time. Apart from the commonly used short-time Fourier transform, other methods exist in literature,…

Signal Processing · Electrical Eng. & Systems 2021-01-19 Stefan Scholl

The state-of-the-art automotive radars employ multidimensional discrete Fourier transforms (DFT) in order to estimate various target parameters. The DFT is implemented using the fast Fourier transform (FFT), at sample and computational…

Signal Processing · Electrical Eng. & Systems 2018-01-16 Shaogang Wang , Vishal M. Patel , Athina Petropulu

Many interesting and fundamentally practical optimization problems, ranging from optics, to signal processing, to radar and acoustics, involve constraints on the Fourier transform of a function. It is well-known that the {\em fast Fourier…

Optimization and Control · Mathematics 2012-09-05 Robert J. Vanderbei

Discrete transforms, such as the discrete Fourier transform, are widely used in machine learning to improve model performance by extracting meaningful features. However, with numerous transforms available, selecting an appropriate one often…

Machine Learning · Computer Science 2025-05-09 Gekko Budiutama , Shunsuke Daimon , Hirofumi Nishi , Yu-ichiro Matsushita

The spectrum is a scarce resource and must utilize efficiently, the cognitive radio is a prospective solution for underutilized spectrum. The spectrum sensing is a key functionality to alleviate interference of secondary user to primary.…

Networking and Internet Architecture · Computer Science 2013-03-12 Dilip S. Aldar

In the field of digital signal processing, the fast Fourier transform (FFT) is a fundamental algorithm, with its processors being implemented using either the pipelined architecture, well-known for high-throughput applications but weak in…

Hardware Architecture · Computer Science 2025-01-03 Fangyu Zhao , Chunhua Xiao , Zhiguo Wang , Xiaohua Du , Bo Dong

Today manufacturers are using fuzzy logic in everything from cameras to industrial process control. Fuzzy logic controllers are easier to design and so are cheaper to produce. Fuzzy logic captures the impreciseness inherent in most input…

Other Computer Science · Computer Science 2010-05-17 S. Sanyal , S. Iyengar , A. A. Roy , N. N. Karnik , N. M. Mengale , S. B. Menon , Wu Geng Feng

Credit card fraud detection is a critical concern for financial institutions, intensified by the rise of contactless payment technologies. While deep learning models offer high accuracy, their lack of explainability poses significant…

Artificial Intelligence · Computer Science 2024-11-04 Wout Gerdes , Erman Acar

Implicit neural representations (INRs) have emerged as powerful tools for encoding signals, yet dominant MLP-based designs often suffer from slow convergence, overfitting to noise, and poor extrapolation. We introduce FUTON (Fourier Tensor…

Image and Video Processing · Electrical Eng. & Systems 2026-02-17 Pooya Ashtari , Pourya Behmandpoor , Nikos Deligiannis , Aleksandra Pizurica

The Fast Fourier Transform(FFT) is a classic signal processing algorithm that is utilized in a wide range of applications. For image processing, FFT computes on every pixel's value of an image, regardless of their properties in frequency…

Signal Processing · Electrical Eng. & Systems 2020-02-25 Sheng Shi , Runkai Yang , Haihang You

Implicit neural representations have shown potential in various applications. However, accurately reconstructing the image or providing clear details via image super-resolution remains challenging. This paper introduces Quantum Fourier…

Quantum Physics · Physics 2025-04-29 Hongni Jin , Gurinder Singh , Kenneth M. Merz

Quantum signal processing is a framework for implementing polynomial functions on quantum computers. To implement a given polynomial $P$, one must first construct a corresponding complementary polynomial $Q$. Existing approaches to this…

Quantum Physics · Physics 2025-06-16 Bjorn K. Berntson , Christoph Sünderhauf

Traditional data collection from sensors produce a lot of data, which lead to constant power consumption and require more storage space. This study proposes an algorithm for a data acquisition and processing method based on Fourier…

Signal Processing · Electrical Eng. & Systems 2026-01-19 Nursultan Daupayev , Christian Engel , Ricky Bendyk , Soeren Hirsch

This paper presents a performance benchmarking study of a Gradient-Optimized Fuzzy Inference System (GF) classifier against several state-of-the-art machine learning models, including Random Forest, XGBoost, Logistic Regression, Support…

Machine Learning · Computer Science 2025-04-24 Magnus Sieverding , Nathan Steffen , Kelly Cohen

We present a general class of compressed sensing matrices which are then demonstrated to have associated sublinear-time sparse approximation algorithms. We then develop methods for constructing specialized matrices from this class which are…

Numerical Analysis · Mathematics 2011-06-01 J. Bailey , M. A. Iwen , C. V. Spencer
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