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Pricing power option under NIG model using fast Fourier transform 认领 引用
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作者 LI Cui-xiang WANG Meng-na +1 位作者 LIU Hui-li LI Wen-han 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2025年第2期327-342,共16页
The aim of this paper is to price power option with its underlying asset price following exponential normal inverse gaussian(NIG)process.We first find the risk neutral equivalent martingale measure Q by Esscher transf... The aim of this paper is to price power option with its underlying asset price following exponential normal inverse gaussian(NIG)process.We first find the risk neutral equivalent martingale measure Q by Esscher transform.Then,using the Fourier transform and its inverse,we derive the analytical pricing formulas of power options which are expressed in the form of Fourier integral.In addition,the fast Fourier transform(FFT)algorithm is applied to calculate these pricing formulas.Finally,Shangzheng 50ETF options are chosen to test our results.Estimating the parameters in NIG process by maximum likelihood method,we show that the NIG prices are much closer to market prices than the Black-Scholes-Merton(BSM)ones. 展开更多
关键词 power option NIG process Esscher transform Fourier transform FFT algorithm
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Microstructure effect of mechanical and cracking behaviors on brittle rocks using image-based fast Fourier transform method 认领 引用
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作者 Mingyao Li Lei Peng +1 位作者 Dejun Liu Jianping Zuo 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2025年第1期399-413,共15页
The internal microstructures of rock materials, including mineral heterogeneity and intrinsic microdefects, exert a significant influence on their nonlinear mechanical and cracking behaviors. It is of great significan... The internal microstructures of rock materials, including mineral heterogeneity and intrinsic microdefects, exert a significant influence on their nonlinear mechanical and cracking behaviors. It is of great significance to accurately characterize the actual microstructures and their influence on stress and damage evolution inside the rocks. In this study, an image-based fast Fourier transform (FFT) method is developed for reconstructing the actual rock microstructures by combining it with the digital image processing (DIP) technique. A series of experimental investigations were conducted to acquire information regarding the actual microstructure and the mechanical properties. Based on these experimental evidences, the processed microstructure information, in conjunction with the proposed micromechanical model, is incorporated into the numerical calculation. The proposed image-based FFT method was firstly validated through uniaxial compression tests. Subsequently, it was employed to predict and analyze the influence of microstructure on macroscopic mechanical behaviors, local stress distribution and the internal crack evolution process in brittle rocks. The distribution of feldspar is considerably more heterogeneous and scattered than that of quartz, which results in a greater propensity for the formation of cracks in feldspar. It is observed that initial cracks and new cracks, including intragranular and boundary ones, ultimately coalesce and connect as the primary through cracks, which are predominantly distributed along the boundary of the feldspar. This phenomenon is also predicted by the proposed numerical method. The results indicate that the proposed numerical method provides an effective approach for analyzing, understanding and predicting the nonlinear mechanical and cracking behaviors of brittle rocks by taking into account the actual microstructure characteristics. 展开更多
关键词 Rock microstructure Cracking process Brittle rocks Fast Fourier transform(FFT) Digital image processing(DIP)
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A fast acquisition method of DSSS signals using differential decoding and fast Fourier transform 认领 引用 被引量：3
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作者 杨伟君 张朝杰 +2 位作者 金小军 金仲和 徐兆斌 《Journal of Central South University》 SCIE EI CAS 2013年第5期1285-1291,共7页
In low earth orbit (LEO) satellite or missile communication scenarios, signals may experience extremely large Doppler shifts and have short visual time. Thus, direct sequence spread spectrum (DSSS) systems should be a... In low earth orbit (LEO) satellite or missile communication scenarios, signals may experience extremely large Doppler shifts and have short visual time. Thus, direct sequence spread spectrum (DSSS) systems should be able to achieve acquisition in a very short time in spite of large Doppler frequencies. However, the traditional methods cannot solve it well. This work describes a new method that uses a differential decoding technique for Doppler mitigation and a batch process of FFT (fast Fourier transform) and IFFT (invert FFT) for the purpose of parallel code phase search by frequency domain correlation. After the code phase is estimated, another FFT process is carried out to search the Doppler frequency. Since both code phase and Doppler frequency domains are searched in parallel, this architecture can provide acquisition fifty times faster than conventional FFT methods. The performance in terms of the probability of detection and false alarm are also analyzed and simulated, showing that a signal-to-noise ratio (SNR) loss of 3 dB is introduced by the differential decoding. The proposed method is an efficient way to shorten the acquisition time with slightly hardware increasing. 展开更多
关键词 low earth orbit （LEO） satellite spread spectrum fast acquisition fast Fourier transform （FFT） Doppler mitigation
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基于频谱泄漏抑制的改进FFT宽频测量算法 认领 引用
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作者 徐恒山 赵杰 +3 位作者 李旭涛 钟怡宸 任勇 马辉 《电力系统及其自动化学报》 CSCD 北大核心 2026年第3期56-64,共9页
针对传统快速傅里叶变换方法测量宽频信号时频谱泄漏导致精度下降的问题,提出一种改进快速傅里叶变换宽频信号测量算法。首先,基于傅里叶变换分析宽频信号的频谱分布,发现采样频率与信号频率不匹配及信号截断效应会导致频谱泄漏;然后,采... 针对传统快速傅里叶变换方法测量宽频信号时频谱泄漏导致精度下降的问题,提出一种改进快速傅里叶变换宽频信号测量算法。首先,基于傅里叶变换分析宽频信号的频谱分布,发现采样频率与信号频率不匹配及信号截断效应会导致频谱泄漏;然后,采用Nuttall-Kaiser组合窗和周期补偿函数对频谱泄漏问题进行校正,利用全相位快速傅里叶变换算法的卷积窗性质对旁瓣衰减进行抑制,以降低频谱泄漏对频谱精度和幅度的影响;最后,采用西北某电站实际信号对所提方法进行验证。结果表明,相较于传统快速傅里叶变换方法,所提的改进快速傅里叶变换方法不仅能精确获取宽频信号的幅值和频率等信息,还能显著减少信号频率泄漏,提升信号测量精度。 展开更多
关键词 宽频测量算法 快速傅里叶变换 频谱泄漏 窗函数
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Combining Cubic Spline Interpolation and Fast Fourier Transform to Extend Measuring Range of Reflectometry 认领 引用
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作者 Ju Cheng Jian Lu +7 位作者 Hong-Chao Zhang Feng Lei Maryam Sardar Xin-Tian Bian Fen Zuo Zhong-Hua Shen Xiao-Wu Ni Jin Shi 《Chinese Physics Letters》 SCIE EI CAS CSCD 2018年第5期20-24,共5页
The reflectometry is a common method used to measure the thickness of thin films. Using a conventional method,its measurable range is limited due to the low resolution of the current spectrometer embedded in the refle... The reflectometry is a common method used to measure the thickness of thin films. Using a conventional method,its measurable range is limited due to the low resolution of the current spectrometer embedded in the reflectometer.We present a simple method, using cubic spline interpolation to resample the spectrum with a high resolution,to extend the measurable transparent film thickness. A large measuring range up to 385 m in optical thickness is achieved with the commonly used system. The numerical calculation and experimental results demonstrate that using the FFT method combined with cubic spline interpolation resampling in reflectrometry, a simple,easy-to-operate, economic measuring system can be achieved with high measuring accuracy and replicability. 展开更多
关键词 Figure FFT Combining Cubic Spline Interpolation and Fast Fourier Transform to Extend Measuring Range of Reflectometry
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基于FFT去噪与反向路径协同增强的双通道推荐算法 认领 引用 被引量：1
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作者 王柳 陈学斌 +2 位作者 高远 马凯光 赵桐 《计算机应用》 CSCD 北大核心 2026年第7期2130-2138,共9页
针对传统的协同过滤推荐算法中,用户评分存在波动性及线性预测能力受限的问题,提出一种基于快速傅里叶变换(FFT)去噪与反向路径协同增强的双通道推荐算法FRP-DCR(Frequency-domain denoising and ReversePath enhanced Dual-Channel Rec... 针对传统的协同过滤推荐算法中,用户评分存在波动性及线性预测能力受限的问题,提出一种基于快速傅里叶变换(FFT)去噪与反向路径协同增强的双通道推荐算法FRP-DCR(Frequency-domain denoising and ReversePath enhanced Dual-Channel Recommendation)。首先,通过FFT对用户评分序列进行频域去噪,以提取长期偏好趋势,从而减少短期情绪波动对推荐的影响,并引入时间衰减机制,以提高算法对评分动态变化的表征能力;其次,在构建协同特征向量时,设计反向路径协同增强结构,以模拟用户-物品-用户之间的间接协同关系,从而解决传统协同过滤算法仅依赖用户的直接交互行为而导致的难以捕捉用户间的弱连接关系的问题;最后,采用正则化宽度学习系统(BLS)与基于梯度提升框架的高效决策树算法,分别建模主线评分结构与非线性残差部分,以提高预测精度。通过与QP-DNN-TF-IDF(Quadratic Polynomial-Deep Neural Networks-Term Frequency-Inverse Document Frequency)、轻量级图卷积网络(LightGCN)和神经协同过滤(NCF)算法等5种基线方法进行比较,对本文算法FRP-DCR的性能进行验证。实验结果表明,在MovieLens数据集上,所提算法FRP-DCR在平均绝对误差(MAE)上降低了0.0295~0.6675,在均方根误差(RMSE)上降低了0.0366~0.7983,即在2个评价指标上均表现出良好性能。 展开更多
关键词 快速傅里叶变换 反向路径协同增强 正则化宽度学习系统 决策树 非线性残差
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基于FFT+CNN-Transformer的雷达有源干扰识别 认领 引用
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作者 徐航 程东升 李建东 《电声技术》 2025年第10期4-12,18,共9页
针对传统方法在单一时频域进行特征提取导致识别效率低下的问题,提出一种利用快速傅里叶变换(Fast Fourier Transform,FFT)获取频域信息,同时结合双通道卷积神经网络(Convolutional Neural Network,CNN)与Transformer的网络模型。首先... 针对传统方法在单一时频域进行特征提取导致识别效率低下的问题,提出一种利用快速傅里叶变换(Fast Fourier Transform,FFT)获取频域信息,同时结合双通道卷积神经网络(Convolutional Neural Network,CNN)与Transformer的网络模型。首先模型通过双通道CNN提取一维信号时频域重要特征,其次利用多头注意力机制融合两个通道提取的特征,最后经过全连接层和Softmax分类器实现识别效能。实验结果表明,该方法对6种干扰的识别率都很高,相较于传统卷积神经网络模型具有更优异的识别能力,具有较强的可靠性和优越性。 展开更多
关键词 雷达有源干扰 快速傅里叶变换(FFT) 卷积神经网络(CNN) Transformer模型 多头自注意力
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一种基于准同步采样的Flap-top窗FFT电能计量新算法 认领 引用
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作者 张志颖 都正周 +3 位作者 李龙龙 刘坚 赵伟 李世松 《电测与仪表》 CSCD 北大核心 2026年第7期79-89,共11页
为进一步提升标准电能表用电能计量算法的准确性能,在较全面梳理标准电能表中常用的准同步采样算法和快速傅里叶变换类算法的原理及性能基础上,结合利用准确同步采样算法估算基波频率准确和加Flap-top窗的快速傅里叶算法能准确测算被测... 为进一步提升标准电能表用电能计量算法的准确性能,在较全面梳理标准电能表中常用的准同步采样算法和快速傅里叶变换类算法的原理及性能基础上,结合利用准确同步采样算法估算基波频率准确和加Flap-top窗的快速傅里叶算法能准确测算被测信号幅值等优点,构建了一种基于准同步采样的加Flap-top窗快速傅里叶变换电能计量新算法。仿真测试结果表明,在不同功率因数下,相比于单独采用准同步采样算法或加Flap-top窗的快速傅里叶变换(fast Fourier transform,FFT)电能计量算法,以所提出的算法去测算基波电能、谐波电能和总电能,的确具有更高的准确度和较快的计算速度。 展开更多
关键词 标准电能表 准同步采样算法 快速傅里叶变换 Flap-top窗 电能计量
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事件驱动的流水线异步FFT的研究与设计 认领 引用
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作者 何亮 王庆峰 +2 位作者 李相强 张健穹 唐先锋 《电气自动化》 2026年第2期56-60,共5页
针对现有异步快速傅里叶变换(fast Fourier transform, FFT)电路无法通过电子设计自动工具实现定制化的设计且缺乏不同异步方式电路对比研究的问题,设计并实现了三种基于不同握手单元的异步FFT电路。通过仿真及现场可编程逻辑门阵列试验... 针对现有异步快速傅里叶变换(fast Fourier transform, FFT)电路无法通过电子设计自动工具实现定制化的设计且缺乏不同异步方式电路对比研究的问题,设计并实现了三种基于不同握手单元的异步FFT电路。通过仿真及现场可编程逻辑门阵列试验,验证了三种电路的可行性和优越性能。基于逻辑控制握手单元的电路在资源占用较少的情况下,适用于面积受限的定制芯片设计;基于Click握手单元的电路适用于高运算速度的超算芯片设计;基于空约定逻辑的电路适用于注重功耗和续航能力的无线通信及可穿戴设备领域。三种设计方案为异步FFT电路提供了多样化的选择,满足不同应用领域的需求,推动了相关科技的发展。 展开更多
关键词 事件驱动 快速傅里叶变换 逻辑控制握手单元 Click握手单元 空约定逻辑
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Cardiac arrhythmias detection in an ECG beat signal using fast fourier transform and artificial neural network 认领 引用 被引量：6
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作者 Himanshu Gothwal Silky Kedawat Rajesh Kumar 《Journal of Biomedical Science and Engineering》 2011年第4期289-296,共8页
Cardiac Arrhythmias shows a condition of abnor-mal electrical activity in the heart which is a threat to humans. This paper presents a method to analyze electrocardiogram (ECG) signal, extract the fea-tures, for the c... Cardiac Arrhythmias shows a condition of abnor-mal electrical activity in the heart which is a threat to humans. This paper presents a method to analyze electrocardiogram (ECG) signal, extract the fea-tures, for the classification of heart beats according to different arrhythmias. Data were obtained from 40 records of the MIT-BIH arrhythmia database (only one lead). Cardiac arrhythmias which are found are Tachycardia, Bradycardia, Supraventricular Tachycardia, Incomplete Bundle Branch Block, Bundle Branch Block, Ventricular Tachycardia. A learning dataset for the neural network was obtained from a twenty records set which were manually classified using MIT-BIH Arrhythmia Database Directory and docu- mentation, taking advantage of the professional experience of a cardiologist. Fast Fourier transforms are used to identify the peaks in the ECG signal and then Neural Networks are applied to identify the diseases. Levenberg Marquardt Back-Propagation algorithm is used to train the network. The results obtained have better efficiency then the previously proposed methods. 展开更多
关键词 Cardiac Arrhythmias Neural Network Electrocardiogram (ECG) Fast Fourier Transform (FFT)
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Reworks系统下FT2000平台的FFT库性能与SIMD加速分析 认领 引用
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作者 李雪伟 石炜 +1 位作者 岳世鑫 王绍宇 《科学技术与工程》 EI 北大核心 2026年第8期3359-3366,共8页
针对嵌入式实时操作系统(real-time operating systems,RTOS)的高性能快速傅里叶变换(fast Fourier transform,FFT)需求,开展基于国产FT2000/4处理器平台的本地实现和FFT性能加速研究。重点介绍了开源库FFTW和ARM专用库Ne10对FFT的支持... 针对嵌入式实时操作系统(real-time operating systems,RTOS)的高性能快速傅里叶变换(fast Fourier transform,FFT)需求,开展基于国产FT2000/4处理器平台的本地实现和FFT性能加速研究。重点介绍了开源库FFTW和ARM专用库Ne10对FFT的支持参数、核心算法实现、编译支持情况及各自特点等,对比了两种库在不同数据规模和单指令多数据(single instruction multiple data,SIMD)加速条件下的计算性能,并在Reworks系统下的FT2000平台上进行测试实验。结果表明:在未启用SIMD场景下,FFTW凭借算法的优化和内存管理性能显著优于Ne10,最高是Ne10的467%,启用SIMD后,Ne10展现出架构定制化的优势,最高实现525%的性能提升,在基3和基5的部分长度中,Ne10也表现出较高的性能。可见FFT库的实现以及SIMD加速对计算性能的关键影响,为嵌入式系统FFT的选择提供理论与实践依据。 展开更多
关键词 快速傅里叶变换(FFT) 单指令多数据(SIMD)加速 FFTW Ne10 Reworks系统
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FFT、小波变换、小波包变换对航发转静子碰摩实验信号的对比分析 认领 引用
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作者 李亚松 《内燃机与配件》 2026年第8期23-26,共4页
随着航空发动机制造精度提升,转静子间隙减小,将导致碰摩故障频发,及时检测此类故障对保障安全与维护效率至关重要。由于碰摩振动信号具有幅值波动大、频率成分复杂、非线性强及明显调制边频等特征,本文在航空发动机转静子碰摩信号特征... 随着航空发动机制造精度提升,转静子间隙减小,将导致碰摩故障频发,及时检测此类故障对保障安全与维护效率至关重要。由于碰摩振动信号具有幅值波动大、频率成分复杂、非线性强及明显调制边频等特征,本文在航空发动机转静子碰摩信号特征提取的研究中,搭建了转子试验台,利用小波变换对实验信号进行了去噪,利用快速傅里叶变换(FFT)和小波包变换对去噪后的信号进行了特征提取,得到各自的频谱特征和能量特征,通过对比分析,总结了本次碰摩信号特点,并评估了不同方法在特征提取中的效果与局限性。 展开更多
关键词 转静子碰摩 特征提取 快速傅里叶变换 小波包变换
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Fast Fourier Transform of Multi-Assets Options under Economic Recession Induced Uncertainties 认领 引用
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作者 Philip Ajibola Bankole Olabisi O. Ugbebor 《American Journal of Computational Mathematics》 2019年第3期143-157,共15页
A Fast Fourier transform approach has been presented by Carr & Madan (2009) on a single underlying asset. In this current research paper, we present fast Fourier transform algorithm for the valuation of Multi-asse... A Fast Fourier transform approach has been presented by Carr & Madan (2009) on a single underlying asset. In this current research paper, we present fast Fourier transform algorithm for the valuation of Multi-asset Options under Economic Recession Induced Uncertainties. The issue of multi-dimension in both finite and infinite case of Options is part of the focus of this research. The notion of economic recession was incorporated. An intuition behind the introduction of recession induced volatility uncertainty is revealed by huge volatility variation during the period of economic recession compared to the period of recession-free. Nigeria economic recession outbreak in 2016 and its effects on the uncertainty of the payoffs of Nigeria Stocks Exchange (NSE) among other investments was among the motivating factors for proposing economic recession induced volatility in options pricing. The application of the proposed Fast Fourier Transform algorithm in handling multi-assets options was shown. A new result on options pricing was achieved and capable of yielding efficient option prices during and out of recession. Numerical results were presented on assets in 3-dimensions as an illustration taking Black Scholes prices as a bench mark for method effectiveness comparison. The key findings of this research paper among other crucial contributions could be seen in computational procedure of options valuation in multi-dimensions and uncertainties in options payoffs under the exposure of economic recession. 展开更多
关键词 Fast Fourier Transform (FFT) Multi-Assets Finite and Infinite Dimension of Assets Economic Recession Volatility Change European Options
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A Precise Algorithm for Non-Integer Harmonics Analysis Based on FFT and Neural Network 认领 引用 被引量：4
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作者 WANGGong-bao MAWei-ming +1 位作者 XIANGDong-yang ZHANGwen-bo 《Wuhan University Journal of Natural Sciences》 EI CAS 2004年第4期454-458,共5页
By means of an arificial neural network (ANN) model, higher measurement accuracy of integer harmonics can be obtained. Combining the windowed fast Fourier transform (FFT) algorithm with the improved ANN model, we pres... By means of an arificial neural network (ANN) model, higher measurement accuracy of integer harmonics can be obtained. Combining the windowed fast Fourier transform (FFT) algorithm with the improved ANN model, we present a new precise algorithm for non-integer harmonics analysis. According to the result obtained from the Hanning-windowed FFT algorithm, we choose the initial values of orders of harmonics for the neural network. Through such processing, the time of iterations is shortened and the convergence rate of neural network is raised thereby. The simulation results show that close non-integer harmonics can be separated from a signal with higher accuracy and better real-time by using the algorithm presented in the paper. Key words fast Fourier transform (FFT) - artificial neural network (ANN) - Hanning-window - harmonics analysis CLC number TM 935 Foundation item: Supported by the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of China (2001-182) and the Science Foundation of Naval University of Engineering(HGDJJ03001).Biography: WANG Gong-bao (1962-), male, Professor, research direction: artificial neural network, wavelet analysis and their applications to signal processing in electric power systems. 展开更多
关键词 fast Fourier transform (FFT) artificial neural network (ANN) Hanning-window harmonics analysis
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FAST IMPLEMENTATION OF CONVOLUTION BACKPROJECTION ALGORITHM IN SPOTLIGHT SAR 认领 引用 被引量：2
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作者 聂鑫 朱岱寅 朱兆达 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2010年第4期333-337,共5页
A fast implementation of the convolution backprojection（CBP）algorithm in spotlight synthetic aperture radar（SAR）is presented based on the fast Fourier transform（FFT）.Traditionally,the computation of the ＇backpr... A fast implementation of the convolution backprojection（CBP）algorithm in spotlight synthetic aperture radar（SAR）is presented based on the fast Fourier transform（FFT）.Traditionally,the computation of the ＇backprojection＇ process is expensive,since resampling in the process is implemented by using the interpolation operation.By analyzing the relative location relationship among different pixels,the algorithm realizes the ＇backprojection＇ using a series of FFTs instead of the interpolation operation.The point target simulation validates that the new algorithm accelerates the CBP algorithm,and the computational rate increases about 85%. 展开更多
关键词 synthetic aperture radar（SAR） fast Fourier transforms（FFTs） fast implementation convolution backprojection（CBP）
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函数波束形成改进FFT-FISTA算法及应用研究 认领 引用 被引量：1
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作者 赵慎 石少锦 +3 位作者 周超 李伟 张锐 李俊毅 《振动与冲击》 EI CSCD 北大核心 2025年第9期77-87,共11页
基于快速傅里叶变换的快速迭代收缩阈值算法(fast iterative shrinkage threshold algorithm based on fast Fourier transform, FFT-FISTA)具有较高的计算效率,但其忽略点扩散函数的空间变化及卷绕误差,造成声源识别性能的损失,为此提... 基于快速傅里叶变换的快速迭代收缩阈值算法(fast iterative shrinkage threshold algorithm based on fast Fourier transform, FFT-FISTA)具有较高的计算效率,但其忽略点扩散函数的空间变化及卷绕误差,造成声源识别性能的损失,为此提出基于函数波束形成的改进FFT-FISTA算法。改进算法以函数波束形成输出作为FFT-FISTA算法的迭代输入,建立函数波束形成、声源分布及升幂空间转移不变点扩散函数的线性方程组,基于周期边界条件下的快速傅里叶变换进行迭代求解,使被运算的非周期函数变为一个周期函数,解决补零边界带来的波数泄漏问题,可提高运算准确性,进一步提升成像性能;通过指数运算锐化点扩散函数主瓣,拓展点扩散函数空间转移不变性假设的适用性。仿真和试验结果表明,相较于常规FFT-FISTA算法,改进算法能提升成像空间分辨率及动态范围,扩大FFT-FISTA算法的有效成像区域,压缩气体泄漏试验结果验证了改进算法的有效性。 展开更多
关键词 点扩散函数 函数波束形成 周期边界 快速傅里叶变换(FFT) 快速迭代收缩阈值算法(FISTA)
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基于EMD和FFT的自适应X射线脉冲星信号降噪方法 认领 引用 被引量：2
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作者 王璐 张爽 《电波科学学报》 CSCD 北大核心 2025年第2期381-394,共14页
X射线脉冲星导航是一种具有发展潜力的深空探测技术,其导航精度主要受X射线脉冲信号到达时间精度影响;X射线脉冲星信号降噪技术有望为X射线脉冲星导航提供良好的信号支撑。在有效抑制噪声的基础上,如何最大限度保留X射线脉冲星信号细节... X射线脉冲星导航是一种具有发展潜力的深空探测技术,其导航精度主要受X射线脉冲信号到达时间精度影响;X射线脉冲星信号降噪技术有望为X射线脉冲星导航提供良好的信号支撑。在有效抑制噪声的基础上,如何最大限度保留X射线脉冲星信号细节信息,一直是X射线脉冲星信号降噪处理中的难点。在经验模态分解(empirical mode decomposition,EMD)阈值降噪中,混叠内蕴模态分量的个数、阈值函数和阈值是影响降噪效果的三个主要因素。本文利用快速傅里叶变换对混叠内蕴模态分量进行分析,据其频域稀疏度筛选出含噪声的高频混叠内蕴模态分量;针对阈值函数和阈值的选择问题,提出了利用复合评价指标选择出阈值函数和阈值估计方法的最优组合,并通过数值仿真验证了该方法的有效性。仿真和测试结果表明本文方法在脉冲星导航方面可能具有应用前景。 展开更多
关键词 脉冲星 经验模态分解(EMD) 快速傅里叶变换(FFT) 复合评价指标(CEI) 信号降噪
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Application of EEMD combined with cross-correlation algorithm in Doppler flow signal 认领 引用 被引量：3
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作者 SHI Fengdong GONG Ruishi +1 位作者 LIANG Tongtong LÜDong 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2025年第1期58-65,共8页
To address the issue of low measurement accuracy caused by noise interference in the acquisition of low fluid flow rate signals with ultrasonic Doppler flow meters,a novel signal processing algorithm that combines ens... To address the issue of low measurement accuracy caused by noise interference in the acquisition of low fluid flow rate signals with ultrasonic Doppler flow meters,a novel signal processing algorithm that combines ensemble empirical mode decomposition(EEMD)and cross-correlation algorithm was proposed.Firstly,a fast Fourier transform(FFT)spectrum analysis was utilized to ascertain the frequency range of the signal.Secondly,data acquisition was conducted at an appropriate sampling frequency,and the acquired Doppler flow rate signal was then decomposed into a series of intrinsic mode functions(IMFs)by EEMD.Subsequently,these decomposed IMFs were recombined based on their energy entropy,and then the noise of the recombined Doppler flow rate signal was removed by cross-correlation filtering.Finally,an ideal ultrasonic Doppler flow rate signal was extracted.Simulation and experimental verification show that the proposed Doppler flow signal processing method can effectively enhance the signal-to-noise ratio(SNR)and extend the lower limit of measurement of the ultrasonic Doppler flow meter. 展开更多
关键词 ultrasonic Doppler flow meter ensemble empirical mode decomposition(EEMD) cross-correlation fast Fourier transform(FFT)spectrum analysis energy entropy
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R22FFT算法的FPGA硬件结构优化设计与实现 认领 引用 被引量：1
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作者 肖海林 杨昱东 +4 位作者 杨紫伊 刘海龙 王玉 张中山 戴晓明 《计算机应用》 CSCD 北大核心 2025年第8期2637-2645,共9页
针对快速傅里叶变换(FFT)算法处理大规模数据时因消耗大量资源和时间而导致运算速度慢的问题,提出一种基22快速傅里叶变换(R22FFT)算法的现场可编程门阵列(FPGA)硬件结构优化设计与实现方法。首先,采用R22FFT算法构建一种序列... 针对快速傅里叶变换(FFT)算法处理大规模数据时因消耗大量资源和时间而导致运算速度慢的问题,提出一种基22快速傅里叶变换(R22FFT)算法的现场可编程门阵列(FPGA)硬件结构优化设计与实现方法。首先,采用R22FFT算法构建一种序列转换功能与流水线结构相结合的Y形双并行阵列结构,在有效降低硬件乘法器使用数量的同时,增大硬件结构的吞吐量,提高FFT算法在FPGA上的运算速度;其次,通过在R22FFT流水线的单级运算中利用旋转因子的相关特性,优化片上存储的资源消耗,使存储空间降低约50.00%;最后,在完成N点R22FFT算法结构优化的基础上,进一步提高硬件结构的可扩展性,即实现2N点和4N点的扩展运算。采用Verilog HDL语言完成硬件设计,并通过Modelsim仿真,使用Vivado2018.3软件将所提方法综合并布局布线,并分析所提方法的性能。实验结果表明,与4种改进的FFT硬件实现方法的运算时间相比,所提方法的运算时间分别降低了75.10%、95.34%、38.49%和49.20%,可见所提方法显著提高了运算速度。同时,所提方法资源消耗适中,消耗占比低,且具有运行功耗低以及可扩展性强的特点。 展开更多
关键词 Y形双并行阵列结构 现场可编程门阵列 基22快速傅里叶变换 多路径延迟交叉结构流水线 蝶形运算
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基于FFT-CNN-GCN的电网故障诊断 认领 引用 被引量：1
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作者 安春丽 张碧玲 +2 位作者 赵国安 王博 刘岩 《浙江大学学报（工学版）》 EI CAS CSCD 北大核心 2025年第10期2205-2212,共8页
为了实现电网故障类型判断、故障线路定位和故障距离判断,提出融合快速傅里叶变换(FFT)、卷积神经网络(CNN)和图卷积神经网络(GCN)的电网故障诊断新模型.通过FFT对电压和电流信号进行时域和频域分解,提取信号的基波幅值和相位,利用CNN... 为了实现电网故障类型判断、故障线路定位和故障距离判断,提出融合快速傅里叶变换(FFT)、卷积神经网络(CNN)和图卷积神经网络(GCN)的电网故障诊断新模型.通过FFT对电压和电流信号进行时域和频域分解,提取信号的基波幅值和相位,利用CNN提取分解后数据的时序特征,引入层归一化增强模型的稳定性.结合GCN处理电网空间拓扑,提取并整合空间特征.通过对IEEE39节点电网系统的建模和仿真验证模型的有效性.实验结果表明,所提模型具有较强的泛化能力,在不同任务、采样间隔和噪声影响下的故障诊断准确率优于现有模型. 展开更多
关键词 故障类型 故障线路 故障距离 快速傅里叶变换(FFT) 卷积神经网络(CNN) 图卷积神经网络(GCN)
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