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A White-Box Deep-Learning Method for Electrical Energy System Modeling Based on Kolmogorov-Arnold Network 基于 Kolmogorov-Arnold 网络的电能系统建模白盒深度学习方法
Pub Date : 2024-09-12 DOI: arxiv-2409.08044
Zhenghao Zhou, Yiyan Li, Zelin Guo, Zheng Yan, Mo-Yuen Chow
Deep learning methods have been widely used as an end-to-end modelingstrategy of electrical energy systems because of their conveniency and powerfulpattern recognition capability. However, due to the "black-box" nature, deeplearning methods have long been blamed for their poor interpretability whenmodeling a physical system. In this paper, we introduce a novel neural networkstructure, Kolmogorov-Arnold Network (KAN), to achieve "white-box" modeling forelectrical energy systems to enhance the interpretability. The most distinctfeature of KAN lies in the learnable activation function together with thesparse training and symbolification process. Consequently, KAN can express thephysical process with concise and explicit mathematical formulas whileremaining the nonlinear-fitting capability of deep neural networks. Simulationresults based on three electrical energy systems demonstrate the effectivenessof KAN in the aspects of interpretability, accuracy, robustness andgeneralization ability.
深度学习方法因其便捷性和强大的模式识别能力,已被广泛用作电能系统的端到端建模策略。然而,由于其 "黑箱 "特性,深度学习方法在物理系统建模时一直被指责为可解释性差。在本文中,我们引入了一种新型的神经网络结构--Kolmogorov-Arnold 网络(KAN),以实现对电能系统的 "白箱 "建模,从而提高可解释性。KAN 的最大特点在于其可学习的激活函数以及稀疏的训练和符号化过程。因此,KAN 可以用简洁明了的数学公式表达物理过程,同时保持深度神经网络的非线性拟合能力。基于三个电能系统的仿真结果证明了 KAN 在可解释性、准确性、鲁棒性和泛化能力等方面的有效性。
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引用次数: 0
Electromagnetic Normalization of Channel Matrix for Holographic MIMO Communications 全息多输入多输出通信信道矩阵的电磁归一化
Pub Date : 2024-09-12 DOI: arxiv-2409.08080
Shuai S. A. Yuan, Li Wei, Xiaoming Chen, Chongwen Huang, Wei E. I. Sha
Holographic multiple-input and multiple-output (MIMO) communicationsintroduce innovative antenna array configurations, such as dense arrays andvolumetric arrays, which offer notable advantages over conventional planararrays with half-wavelength element spacing. However, accurately assessing theperformance of these new holographic MIMO systems necessitates carefulconsideration of channel matrix normalization, as it is influenced by arraygain, which, in turn, depends on the array topology. Traditional normalizationmethods may be insufficient for assessing these advanced array topologies,potentially resulting in misleading or inaccurate evaluations. In this study,we propose electromagnetic normalization approaches for the channel matrix thataccommodate arbitrary array topologies, drawing on the array gains fromanalytical, physical, and full-wave methods. Additionally, we introduce anormalization method for near-field MIMO channels based on a rigorous dyadicGreen's function approach, which accounts for potential losses of gain at nearfield. Finally, we perform capacity analyses under quasi-static, ergodic, andnear-field conditions, through adopting the proposed normalization techniques.Our findings indicate that channel matrix normalization should reflect therealized gains of the antenna array in target directions. Failing to accuratelynormalize the channel matrix can result in errors when evaluating theperformance limits and benefits of unconventional holographic array topologies,potentially compromising the optimal design of holographic MIMO systems.
全息多输入多输出(MIMO)通信引入了创新的天线阵列配置,如密集阵列和体积阵列,与具有半波长元件间距的传统平面阵列相比具有显著优势。然而,要准确评估这些新型全息多输入多输出系统的性能,就必须仔细考虑信道矩阵归一化问题,因为它受到阵列增益的影响,而阵列增益又取决于阵列拓扑结构。传统的归一化方法可能不足以评估这些先进的阵列拓扑结构,可能导致误导或不准确的评估。在本研究中,我们利用分析、物理和全波方法中的阵列增益,提出了适应任意阵列拓扑的信道矩阵电磁归一化方法。此外,我们还基于严格的二元格林函数方法,为近场 MIMO 信道引入了归一化方法,该方法考虑了近场增益的潜在损失。最后,通过采用所提出的归一化技术,我们对准静态、遍历和近场条件下的容量进行了分析。在评估非常规全息阵列拓扑的性能极限和优势时,如果不能准确归一化信道矩阵,就会导致错误,从而可能影响全息多输入多输出系统的优化设计。
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引用次数: 0
Millimeter-Wave Integrated Silicon Devices: Active versus Passive -- The Eternal Struggle Between Good and Evil 毫米波集成硅器件:有源与无源 -- 善与恶的永恒斗争
Pub Date : 2024-09-12 DOI: arxiv-2409.08176
Michele Spasaro, Domenico Zito
With the extreme scaling, active devices in both CMOS and BiCMOS technologieshave reached outstanding ft/fmax, enabling an ever-increasing number ofexisting and emerging applications in the microwave and millimeter wave(mm-wave) frequency range. The increase in transistors ft/fmax has been so muchsignificant that the performance of microwave and mm-wave ICs are limitedmainly by losses in passive devices. In this paper, we address a discussion onqualitative and quantitative aspects that may help to further unveil the impactof such losses on the overall circuit performance and stimulate the adoption ofeffective loss-aware design methodologies. As example, we report the resultsrelated to the design of low power mm-wave low noise amplifiers (LNAs). Ourresults show how, in low power regime, the performances of mm-wave LNAs aredominated by losses in passive components. We also show how loss-aware designmethodologies can mitigate the performance degradation due to passives,resulting as an important tool to get the full potential out of the activedevices available today.
随着规模的不断扩大,CMOS 和 BiCMOS 技术中的有源器件都达到了出色的 ft/fmax,使得微波和毫米波(mm-wave)频率范围内越来越多的现有和新兴应用成为可能。晶体管 ft/fmax 的提高如此显著,以至于微波和毫米波集成电路的性能主要受到无源器件损耗的限制。在本文中,我们将讨论定性和定量方面的问题,这可能有助于进一步揭示这些损耗对整体电路性能的影响,并促进采用有效的损耗感知设计方法。例如,我们报告了与低功率毫米波低噪声放大器(LNA)设计相关的结果。我们的研究结果表明,在低功耗条件下,毫米波低噪声放大器的性能主要取决于无源元件的损耗。我们还展示了损耗感知设计方法如何减轻无源元件造成的性能下降,从而成为充分发挥当今现有活动器件潜力的重要工具。
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引用次数: 0
Mental Stress Detection and Performance Enhancement Using FNIRS and Wrist Vibrator Biofeedback 利用 FNIRS 和腕部振动器生物反馈检测心理压力并提高绩效
Pub Date : 2024-09-12 DOI: arxiv-2409.08089
Anita Beigzadeh, Vahid Yazdnian, Kamaledin Setarehdan
Any person in his/her daily life activities experiences different kinds andvarious amounts of mental stress which has a destructive effect on theirperformance. Therefore, it is crucial to come up with a systematic way ofstress management and performance enhancement. This paper presents acomprehensive portable and real-time biofeedback system that aims at boostingstress management and consequently performance enhancement. For this purpose, areal-time brain signal acquisition device, a wireless vibration biofeedbackdevice, and a software-defined program for stress level classification havebeen developed. More importantly, the entire system has been designed topresent minimum time delay by propitiously bridging all the essential parts ofthe system together. We have presented different signal processing and featureextraction techniques for an online stress detection application. Accordingly,by testing the stress classification section of the system, an accuracy of 83%and a recall detecting the true mental stress level of 92% was achieved.Moreover, the biofeedback system as integrity has been tested on 20participants in the controlled experimental setup. Experiment evaluations showpromising results of system performances, and the findings reveal that oursystem is able to help the participants reduce their stress level by 55% andincrease their accuracy by 24.5%. It can be concluded from the observationsthat all primary premises on stress management and performance enhancementthrough reward learning are valid as well.
任何人在其日常生活活动中都会经历不同种类和不同程度的精神压力,这些压力会对其工作表现产生破坏性影响。因此,找到一种系统的压力管理和绩效提升方法至关重要。本文介绍了一种全面的便携式实时生物反馈系统,旨在促进压力管理,进而提高绩效。为此,我们开发了实时脑信号采集设备、无线振动生物反馈设备和用于压力水平分类的软件定义程序。更重要的是,整个系统的设计通过将系统的所有重要部分连接在一起,最大限度地减少了时间延迟。我们为在线压力检测应用介绍了不同的信号处理和特征提取技术。此外,我们还在受控实验装置中对 20 名参与者进行了生物反馈系统完整性测试。实验评估结果显示,系统性能良好,研究结果表明,我们的系统能够帮助参与者将压力水平降低 55%,并将准确率提高 24.5%。通过观察可以得出结论,所有关于压力管理和通过奖励学习提高绩效的基本前提都是有效的。
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引用次数: 0
Efficient Learning of Balanced Signed Graphs via Iterative Linear Programming 通过迭代线性规划高效学习平衡符号图
Pub Date : 2024-09-12 DOI: arxiv-2409.07794
Haruki Yokota, Hiroshi Higashi, Yuichi Tanaka, Gene Cheung
Signed graphs are equipped with both positive and negative edge weights,encoding pairwise correlations as well as anti-correlations in data. A balancedsigned graph has no cycles of odd number of negative edges. Laplacian of abalanced signed graph has eigenvectors that map simply to ones in asimilarity-transformed positive graph Laplacian, thus enabling reuse ofwell-studied spectral filters designed for positive graphs. We propose a fastmethod to learn a balanced signed graph Laplacian directly from data.Specifically, for each node $i$, to determine its polarity $beta_i in{-1,1}$ and edge weights ${w_{i,j}}_{j=1}^N$, we extend a sparse inversecovariance formulation based on linear programming (LP) called CLIME, by addinglinear constraints to enforce ``consistent" signs of edge weights${w_{i,j}}_{j=1}^N$ with the polarities of connected nodes -- i.e.,positive/negative edges connect nodes of same/opposing polarities. For each LP,we adapt projections on convex set (POCS) to determine a suitable CLIMEparameter $rho > 0$ that guarantees LP feasibility. We solve the resulting LPvia an off-the-shelf LP solver in $mathcal{O}(N^{2.055})$. Experiments onsynthetic and real-world datasets show that our balanced graph learning methodoutperforms competing methods and enables the use of spectral filters and graphconvolutional networks (GCNs) designed for positive graphs on signed graphs.
有符号图既有正边权重,也有负边权重,可对数据中的成对相关性和反相关性进行编码。平衡有符号图没有奇数负边的循环。平衡有符号图的拉普拉矢具有特征向量,这些特征向量可以简单地映射到相似性变换后的正图拉普拉矢中的特征向量,因此可以重复使用为正图设计的、经过深入研究的光谱滤波器。我们提出了一种直接从数据中学习平衡符号图拉普拉奇的快速方法。具体来说,对于每个节点 $i$,为了确定其极性 $beta_i in{-1,1}$ 和边权重 ${w_{i,j}}_{j=1}^N$,我们扩展了一种基于线性规划(LP)的稀疏逆协方差公式,称为 CLIME、通过添加线性约束来强制边缘权重${w_{i,j}}_{j=1}^N$的符号与相连节点的极性 "一致"--也就是说,边缘权重${w_{i,j}}_{j=1}^N$与相连节点的极性 "一致"。e.,正/负边缘连接极性相同/相反的节点。对于每个 LP,我们都采用凸集投影法(POCS)来确定一个合适的 CLIME 参数 $rho > 0$,以保证 LP 的可行性。我们使用现成的 LP 求解器在 $mathcal{O}(N^{2.055})$ 内求解得到的 LP。在合成数据集和现实世界数据集上的实验表明,我们的平衡图学习方法优于其他竞争方法,并能在有符号图上使用为正图设计的光谱滤波器和图卷积网络(GCN)。
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引用次数: 0
Conformal Distributed Remote Inference in Sensor Networks Under Reliability and Communication Constraints 可靠性和通信约束条件下传感器网络中的共形分布式远程推理
Pub Date : 2024-09-12 DOI: arxiv-2409.07902
Meiyi Zhu, Matteo Zecchin, Sangwoo Park, Caili Guo, Chunyan Feng, Petar Popovski, Osvaldo Simeone
This paper presents communication-constrained distributed conformal riskcontrol (CD-CRC) framework, a novel decision-making framework for sensornetworks under communication constraints. Targeting multi-label classificationproblems, such as segmentation, CD-CRC dynamically adjusts local and globalthresholds used to identify significant labels with the goal of ensuring atarget false negative rate (FNR), while adhering to communication capacitylimits. CD-CRC builds on online exponentiated gradient descent to estimate therelative quality of the observations of different sensors, and on onlineconformal risk control (CRC) as a mechanism to control local and globalthresholds. CD-CRC is proved to offer deterministic worst-case performanceguarantees in terms of FNR and communication overhead, while the regretperformance in terms of false positive rate (FPR) is characterized as afunction of the key hyperparameters. Simulation results highlight theeffectiveness of CD-CRC, particularly in communication resource-constrainedenvironments, making it a valuable tool for enhancing the performance andreliability of distributed sensor networks.
本文介绍了通信约束分布式保形风险控制(CD-CRC)框架,这是一种适用于通信约束下传感器网络的新型决策框架。CD-CRC 以分割等多标签分类问题为目标,动态调整用于识别重要标签的局部和全局阈值,以确保达到目标假阴性率 (FNR),同时遵守通信容量限制。CD-CRC 基于在线指数梯度下降来估计不同传感器观测的相对质量,并基于在线形式风险控制(CRC)作为控制局部和全局阈值的机制。CD-CRC 被证明能在 FNR 和通信开销方面提供确定性的最坏情况性能保证,而在假阳性率 (FPR) 方面的遗憾性能则被描述为关键超参数的函数。仿真结果凸显了 CD-CRC 的有效性,尤其是在通信资源受限的环境中,使其成为提高分布式传感器网络性能和可靠性的重要工具。
{"title":"Conformal Distributed Remote Inference in Sensor Networks Under Reliability and Communication Constraints","authors":"Meiyi Zhu, Matteo Zecchin, Sangwoo Park, Caili Guo, Chunyan Feng, Petar Popovski, Osvaldo Simeone","doi":"arxiv-2409.07902","DOIUrl":"https://doi.org/arxiv-2409.07902","url":null,"abstract":"This paper presents communication-constrained distributed conformal risk\u0000control (CD-CRC) framework, a novel decision-making framework for sensor\u0000networks under communication constraints. Targeting multi-label classification\u0000problems, such as segmentation, CD-CRC dynamically adjusts local and global\u0000thresholds used to identify significant labels with the goal of ensuring a\u0000target false negative rate (FNR), while adhering to communication capacity\u0000limits. CD-CRC builds on online exponentiated gradient descent to estimate the\u0000relative quality of the observations of different sensors, and on online\u0000conformal risk control (CRC) as a mechanism to control local and global\u0000thresholds. CD-CRC is proved to offer deterministic worst-case performance\u0000guarantees in terms of FNR and communication overhead, while the regret\u0000performance in terms of false positive rate (FPR) is characterized as a\u0000function of the key hyperparameters. Simulation results highlight the\u0000effectiveness of CD-CRC, particularly in communication resource-constrained\u0000environments, making it a valuable tool for enhancing the performance and\u0000reliability of distributed sensor networks.","PeriodicalId":501034,"journal":{"name":"arXiv - EE - Signal Processing","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Differences between Two Maximal Principal Strain Rate Calculation Schemes in Traumatic Brain Analysis with in-vivo and in-silico Datasets 利用体内和实验室数据集分析创伤性脑部时两种最大主应变率计算方案的差异
Pub Date : 2024-09-12 DOI: arxiv-2409.08164
Xianghao Zhan, Zhou Zhou, Yuzhe Liu, Nicholas J. Cecchi, Marzieh Hajiahamemar, Michael M. Zeineh, Gerald A. Grant, David Camarillo, Svein Kleiven
Brain deformation caused by a head impact leads to traumatic brain injury(TBI). The maximum principal strain (MPS) was used to measure the extent ofbrain deformation and predict injury, and the recent evidence has indicatedthat incorporating the maximum principal strain rate (MPSR) and the product ofMPS and MPSR, denoted as MPSxSR, enhances the accuracy of TBI prediction.However, ambiguities have arisen about the calculation of MPSR. Two schemeshave been utilized: one (MPSR1) is to use the time derivative of MPS, andanother (MPSR2) is to use the first eigenvalue of the strain rate tensor. BothMPSR1 and MPSR2 have been applied in previous studies to predict TBI. Toquantify the discrepancies between these two methodologies, we conducted acomparison of these two MPSR methodologies across nine in-vivo and in-silicohead impact datasets and found that 95MPSR1 was 5.87% larger than 95MPSR2, and95MPSxSR1 was 2.55% larger than 95MPSxSR2. Across every element in all headimpacts, MPSR1 was 8.28% smaller than MPSR2, and MPSxSR1 was 8.11% smaller thanMPSxSR2. Furthermore, logistic regression models were trained to predict TBIbased on the MPSR (or MPSxSR), and no significant difference was observed inthe predictability across different variables. The consequence of misuse ofMPSR and MPSxSR thresholds (i.e. compare threshold of 95MPSR1 with value from95MPSR2 to determine if the impact is injurious) was investigated, and theresulting false rates were found to be around 1%. The evidence suggested thatthese two methodologies were not significantly different in detecting TBI.
头部撞击造成的脑变形会导致创伤性脑损伤(TBI)。最大主应变(MPS)被用来测量脑变形的程度和预测损伤,最近的证据表明,将最大主应变率(MPSR)以及 MPS 和 MPSR 的乘积(表示为 MPSxSR)结合起来可提高 TBI 预测的准确性。目前有两种方法:一种(MPSR1)是使用 MPS 的时间导数,另一种(MPSR2)是使用应变速率张量的第一个特征值。在以往的研究中,MPSR1 和 MPSR2 都被用于预测创伤性脑损伤。为了量化这两种方法之间的差异,我们在九个活体和模拟头部撞击数据集中对这两种 MPSR 方法进行了比较,发现 95MPSR1 比 95MPSR2 大 5.87%,95MPSxSR1 比 95MPSxSR2 大 2.55%。在所有头部撞击的每个要素中,MPSR1 比 MPSR2 小 8.28%,MPSxSR1 比 MPSxSR2 小 8.11%。此外,还根据 MPSR(或 MPSxSR)训练了逻辑回归模型来预测 TBI,结果发现不同变量的预测能力没有显著差异。对误用 MPSR 和 MPSxSR 临界值(即比较 95MPSR1 临界值和 95MPSR2 临界值以确定撞击是否具有伤害性)的后果进行了调查,结果发现误差率约为 1%。证据表明,这两种方法在检测创伤性脑损伤方面没有明显差异。
{"title":"Differences between Two Maximal Principal Strain Rate Calculation Schemes in Traumatic Brain Analysis with in-vivo and in-silico Datasets","authors":"Xianghao Zhan, Zhou Zhou, Yuzhe Liu, Nicholas J. Cecchi, Marzieh Hajiahamemar, Michael M. Zeineh, Gerald A. Grant, David Camarillo, Svein Kleiven","doi":"arxiv-2409.08164","DOIUrl":"https://doi.org/arxiv-2409.08164","url":null,"abstract":"Brain deformation caused by a head impact leads to traumatic brain injury\u0000(TBI). The maximum principal strain (MPS) was used to measure the extent of\u0000brain deformation and predict injury, and the recent evidence has indicated\u0000that incorporating the maximum principal strain rate (MPSR) and the product of\u0000MPS and MPSR, denoted as MPSxSR, enhances the accuracy of TBI prediction.\u0000However, ambiguities have arisen about the calculation of MPSR. Two schemes\u0000have been utilized: one (MPSR1) is to use the time derivative of MPS, and\u0000another (MPSR2) is to use the first eigenvalue of the strain rate tensor. Both\u0000MPSR1 and MPSR2 have been applied in previous studies to predict TBI. To\u0000quantify the discrepancies between these two methodologies, we conducted a\u0000comparison of these two MPSR methodologies across nine in-vivo and in-silico\u0000head impact datasets and found that 95MPSR1 was 5.87% larger than 95MPSR2, and\u000095MPSxSR1 was 2.55% larger than 95MPSxSR2. Across every element in all head\u0000impacts, MPSR1 was 8.28% smaller than MPSR2, and MPSxSR1 was 8.11% smaller than\u0000MPSxSR2. Furthermore, logistic regression models were trained to predict TBI\u0000based on the MPSR (or MPSxSR), and no significant difference was observed in\u0000the predictability across different variables. The consequence of misuse of\u0000MPSR and MPSxSR thresholds (i.e. compare threshold of 95MPSR1 with value from\u000095MPSR2 to determine if the impact is injurious) was investigated, and the\u0000resulting false rates were found to be around 1%. The evidence suggested that\u0000these two methodologies were not significantly different in detecting TBI.","PeriodicalId":501034,"journal":{"name":"arXiv - EE - Signal Processing","volume":"106 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Digital Twin for Autonomous Guided Vehicles based on Integrated Sensing and Communications 基于综合传感与通信的自主制导车辆数字孪生系统
Pub Date : 2024-09-12 DOI: arxiv-2409.08005
Van-Phuc Bui, Pedro Maia de Sant Ana, Soheil Gherekhloo, Shashi Raj Pandey, Petar Popovski
This paper presents a Digital Twin (DT) framework for the remote control ofan Autonomous Guided Vehicle (AGV) within a Network Control System (NCS). TheAGV is monitored and controlled using Integrated Sensing and Communications(ISAC). In order to meet the real-time requirements, the DT computes thecontrol signals and dynamically allocates resources for sensing andcommunication. A Reinforcement Learning (RL) algorithm is derived to learn andprovide suitable actions while adjusting for the uncertainty in the AGV'sposition. We present closed-form expressions for the achievable communicationrate and the Cramer-Rao bound (CRB) to determine the required number ofOrthogonal Frequency-Division Multiplexing (OFDM) subcarriers, meeting theneeds of both sensing and communication. The proposed algorithm is validatedthrough a millimeter-Wave (mmWave) simulation, demonstrating significantimprovements in both control precision and communication efficiency.
本文介绍了一种数字孪生(DT)框架,用于在网络控制系统(NCS)中远程控制自主导航车(AGV)。AGV 采用集成传感与通信(ISAC)进行监控。为了满足实时性要求,DT 计算控制信号并动态分配传感和通信资源。我们提出了一种强化学习(RL)算法,用于学习和提供合适的行动,同时调整 AGV 位置的不确定性。我们提出了可实现通信速率和克拉默-拉奥约束(CRB)的闭式表达式,以确定所需的正交频分复用(OFDM)子载波数量,从而满足传感和通信的需要。通过毫米波(mmWave)仿真验证了所提出的算法,证明该算法在控制精度和通信效率方面都有显著提高。
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引用次数: 0
Quantum Inverse Fast Fourier Transform 量子反快速傅里叶变换
Pub Date : 2024-09-12 DOI: arxiv-2409.07983
Mayank Roy, Devi Maheswaran
In this paper, an algorithm for Quantum Inverse Fast Fourier Transform(QIFFT) is developed to work for quantum data. Analogous to a classicaldiscrete signal, a quantum signal can be represented in Dirac notation,application of QIFFT is a tensor transformation from frequency domain to timedomain. If the tensors are merely complex entries, then we get the classicalscenario. We have included the complete formulation of QIFFT algorithm from theclassical model and have included butterfly diagram. QIFFT outperforms regularinversion of Quantum Fourier Transform (QFT) in terms of computationalcomplexity, quantum parallelism and improved versatility.
本文开发了一种用于量子数据的量子反快速傅里叶变换(QIFFT)算法。与经典离散信号类似,量子信号可以用狄拉克符号表示,QIFFT 的应用是从频域到时域的张量变换。如果张量只是复数项,那么我们得到的就是经典方案。我们在经典模型中加入了 QIFFT 算法的完整表述,并附上了蝶形图。QIFFT 在计算复杂性、量子并行性和通用性方面都优于量子傅里叶变换(QFT)的常规转换。
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引用次数: 0
Dequantization of a signal from two parallel quantized observations 从两个平行量化观测结果中对信号进行去量化
Pub Date : 2024-09-12 DOI: arxiv-2409.08071
Vojtěch Kovanda, Pavel Rajmic
We propose a technique of signal acquisition using a combination of twodevices with different sampling rates and quantization accuracies. Subsequentprocessing involving sparsity regularization enables us to reconstruct thesignal at such a sampling frequency and with such a bit depth that was notpossible using the two devices independently. Objective and subjective testsshow the superiority of the proposed method in comparison with alternatives.
我们提出了一种信号采集技术,它结合了两种具有不同采样率和量化精度的设备。随后的稀疏正则化处理使我们能够以这样的采样频率和比特深度重建信号,而这是单独使用两种设备无法实现的。客观和主观测试表明,与其他方法相比,所提出的方法更胜一筹。
{"title":"Dequantization of a signal from two parallel quantized observations","authors":"Vojtěch Kovanda, Pavel Rajmic","doi":"arxiv-2409.08071","DOIUrl":"https://doi.org/arxiv-2409.08071","url":null,"abstract":"We propose a technique of signal acquisition using a combination of two\u0000devices with different sampling rates and quantization accuracies. Subsequent\u0000processing involving sparsity regularization enables us to reconstruct the\u0000signal at such a sampling frequency and with such a bit depth that was not\u0000possible using the two devices independently. Objective and subjective tests\u0000show the superiority of the proposed method in comparison with alternatives.","PeriodicalId":501034,"journal":{"name":"arXiv - EE - Signal Processing","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
arXiv - EE - Signal Processing
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