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双向自回归Transformer与快速傅里叶卷积增强的壁画修复 被引量:1
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作者 陈永 张世龙 杜婉君 《湖南大学学报(自然科学版)》 北大核心 2025年第4期1-15,共15页
针对现有深度学习算法在壁画修复时,存在全局语义一致性约束不足及局部特征提取不充分,导致修复后的壁画易出现边界效应和细节模糊等问题,提出一种双向自回归Transformer与快速傅里叶卷积增强的壁画修复方法.首先,设计基于Transformer... 针对现有深度学习算法在壁画修复时,存在全局语义一致性约束不足及局部特征提取不充分,导致修复后的壁画易出现边界效应和细节模糊等问题,提出一种双向自回归Transformer与快速傅里叶卷积增强的壁画修复方法.首先,设计基于Transformer结构的全局语义特征修复模块,利用双向自回归机制与掩码语言模型(masked language modeling,MLM),提出改进的多头注意力全局语义壁画修复模块,提高对全局语义特征的修复能力.然后,构建了由门控卷积和残差模块组成的全局语义增强模块,增强全局语义特征一致性约束.最后,设计局部细节修复模块,采用大核注意力机制(large kernel attention,LKA)与快速傅里叶卷积提高细节特征的捕获能力,同时减少局部细节信息的丢失,提升修复壁画局部和整体特征的一致性.通过对敦煌壁画数字化修复实验,结果表明,所提算法修复性能更优,客观评价指标均优于比较算法. 展开更多
关键词 壁画修复 双向自回归transformer 掩码语言模型 快速傅里叶卷积 语义增强
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基于FFT-iTransformer的网络安全态势特征插补与预测
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作者 张新有 高志超 +1 位作者 冯力 邢焕来 《信息网络安全》 北大核心 2025年第2期228-239,共12页
为解决当前网络安全态势预测精度低、指标采集缺失等问题,文章提出一种基于快速傅里叶变换改进的iTransformer模型(FFT-iTransformer)。该模型利用iTransformer架构对时间序列数据进行维度反转嵌入。通过快速傅里叶变换将一维时间序列... 为解决当前网络安全态势预测精度低、指标采集缺失等问题,文章提出一种基于快速傅里叶变换改进的iTransformer模型(FFT-iTransformer)。该模型利用iTransformer架构对时间序列数据进行维度反转嵌入。通过快速傅里叶变换将一维时间序列扩展为二维空间,将周期内的近邻特征和周期间的远邻特征分别映射到二维张量的行与列。首先,模型将周期内特征输入编码器,通过注意力机制学习周期内的局部特征,从而有效捕捉网络安全指标间的动态关联性(如信息安全漏洞数量与感染主机数量间的关联)。然后,将编码器输出的周期内张量融合为二维,传入卷积模块进一步提取二维特征,以捕捉周期间的全局特征。最后,根据振幅所反映的周期相对重要性进行自适应聚合。实验结果表明,该模型预测拟合度可达0.995378,在10%的缺失率下,插补拟合度可达0.879,优于大多数现有模型,可准确插补网络安全态势指标的缺失值,并预测态势值。 展开更多
关键词 网络安全 态势预测 插补 快速傅里叶变换 itransformer
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长期Transformer和自适应傅里叶变换的动态图卷积交通流预测研究
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作者 张红 伊敏 +2 位作者 张玺君 李扬 张鹏程 《电子与信息学报》 北大核心 2025年第7期2249-2262,共14页
针对交通流长期趋势性与非平稳性不易有效建模,以及交通流的隐藏动态时空特征难以捕捉的问题,该文提出一种基于长期Transformer和自适应傅里叶变换的动态图卷积交通流预测模型(ADGformer)。其中,长期门控卷积层通过掩码子序列Transforme... 针对交通流长期趋势性与非平稳性不易有效建模,以及交通流的隐藏动态时空特征难以捕捉的问题,该文提出一种基于长期Transformer和自适应傅里叶变换的动态图卷积交通流预测模型(ADGformer)。其中,长期门控卷积层通过掩码子序列Transformer从长历史序列中学习压缩的、上下文信息丰富的子序列表示,并利用膨胀门控卷积从子序列的时间表示中有效捕捉交通流的长期趋势特征。并设计一种动态图构造器生成动态可学习图,并利用可学习动态图卷积对节点间潜在的和时变的空间依赖关系进行建模以有效捕获交通流的动态隐藏空间特征。其次,自适应频谱块利用傅里叶变换来增强特征表示并捕获长短期的交互作用,同时通过自适应阈值处理来降低交通流的非平稳性。实验结果表明,所提ADGformer模型具有较好的预测性能。 展开更多
关键词 交通流预测 动态图卷积 长期transformer 傅里叶变换 非平稳性
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杂波背景下目标回波信号积累预置MTI的递归Radon-Fourier变换方法
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作者 汪海波 巴涛 +3 位作者 黄文华 张余川 庄俊 张海川 《系统工程与电子技术》 北大核心 2025年第9期2913-2924,共12页
雷达系统的时序被分成固定的相参处理间隔(coherent processing interval, CPI),只有接收完整个CPI内的回波数据,才能应用Radon傅里叶变换(Radon-Fourier transform,RFT)方法实现相参积累,导致系统的处理延时至少是一个CPI的长度。对此... 雷达系统的时序被分成固定的相参处理间隔(coherent processing interval, CPI),只有接收完整个CPI内的回波数据,才能应用Radon傅里叶变换(Radon-Fourier transform,RFT)方法实现相参积累,导致系统的处理延时至少是一个CPI的长度。对此,提出一种预置运动目标显示(pre-moving target indication, Pre-MTI)的递归RFT方法,突破RFT方法需要一个整个CPI回波数据的限制。每接收一次回波数据即可实施相参积累,理论上系统处理延时最短到与雷达工作重复周期相当。本文对算法的相参积累增益、相参积累时间和改善因子进行理论分析,给出相应的解析推导。仿真结果表明,通过Pre-MTI处理能够有效抑制杂波,递归RFT变换方法能够对运动目标回波实现有效积累,信噪比和速度分辨率随着递归的脉冲个数增加而增加。通过递归RFT变换方法实线相参积累的系统延时降低,理论上最短延时可达雷达重复周期。 展开更多
关键词 时距联合 相参积累 运动目标显示 Radon傅里叶变换
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Design and implementation of code acquisition using sparse Fourier transform
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作者 ZHANG Chen WANG Jian +1 位作者 FAN Guangteng TIAN Shiwei 《Journal of Systems Engineering and Electronics》 SCIE CSCD 2024年第5期1063-1072,共10页
Code acquisition is the kernel operation for signal synchronization in the spread-spectrum receiver.To reduce the computational complexity and latency of code acquisition,this paper proposes an efficient scheme employ... Code acquisition is the kernel operation for signal synchronization in the spread-spectrum receiver.To reduce the computational complexity and latency of code acquisition,this paper proposes an efficient scheme employing sparse Fourier transform(SFT)and the relevant hardware architecture for field programmable gate array(FPGA)and application-specific integrated circuit(ASIC)implementation.Efforts are made at both the algorithmic level and the implementation level to enable merged searching of code phase and Doppler frequency without incurring massive hardware expenditure.Compared with the existing code acquisition approaches,it is shown from theoretical analysis and experimental results that the proposed design can shorten processing latency and reduce hardware complexity without degrading the acquisition probability. 展开更多
关键词 code acquisition hardware structure sparse fourier transform(SFT) code phase estimation Doppler frequency estimation
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Transformer和生成对抗网络相结合的图像修复
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作者 林旭 王永雄 +3 位作者 陈俊帆 张凌樾 谢鑫宇 朱珺怡 《控制工程》 北大核心 2025年第7期1311-1319,共9页
现有图像修复模型无法高质量地修复大面积缺损的图像。针对此问题,提出了一种Transformer和生成对抗网络相结合的图像修复模型。首先,设计了一种新型掩码自适应输入模块,用于从输入图像中提取未被掩码遮蔽的图像块;其次,利用Transforme... 现有图像修复模型无法高质量地修复大面积缺损的图像。针对此问题,提出了一种Transformer和生成对抗网络相结合的图像修复模型。首先,设计了一种新型掩码自适应输入模块,用于从输入图像中提取未被掩码遮蔽的图像块;其次,利用Transformer从有效图像块中提取全局上下文信息,增强模型对缺损区域的补全能力;再次,使用快速傅里叶卷积(fast Fourier convolution,FFC)模块增强模型的细节修复能力,并消除输出图像中的伪影;最后,利用判别器网络对抗训练以提升整体网络的性能。利用所提模型对Place2数据集进行图像修复,测试结果表明:当掩码比例为50%~60%时,修复结果的峰值信噪比达到了19.7482 dB,结构相似性(structural similarity,SSIM)达到了0.7147。 展开更多
关键词 深度学习 图像修复 transformER 生成对抗网络 快速傅里叶卷积
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LSTM-Transformer混合模型红外光谱校正
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作者 方正 高雨骜 王涵博 《红外与激光工程》 北大核心 2025年第8期116-125,共10页
傅里叶红外光谱仪(Fourier-Transform Infrared Spectrometer,FTIR)的测量精度易受温度漂移(温漂)影响,导致光谱数据产生显著误差。为提高光谱校正精度,在实验过程中采集了同一发射源在环境温度从55℃变化至5℃时的光谱曲线,以25℃为标... 傅里叶红外光谱仪(Fourier-Transform Infrared Spectrometer,FTIR)的测量精度易受温度漂移(温漂)影响,导致光谱数据产生显著误差。为提高光谱校正精度,在实验过程中采集了同一发射源在环境温度从55℃变化至5℃时的光谱曲线,以25℃为标准温度,首先采用当前主要方法长短时记忆(LSTM)神经网络进行温漂校正,以学习光谱随温度变化的时间序列特征。进一步提出结合LSTM与Transformer的混合模型(Hybrid Model,HM),充分利用LSTM处理时间序列数据的能力与Transformer的全局依赖建模能力,以增强光谱校正的鲁棒性和泛化能力。实验结果表明,与单独使用LSTM方法相比,混合模型在均方误差(MSE)和决定系数(R^(2))等指标上均取得显著优化,实验结果表明,混合模型预测误差减少了约98%,验证了该方法在傅里叶红外光谱仪温漂校正中的有效性。研究表明,基于LSTM与Transformer的混合模型能够更精准地校正光谱温漂误差,为傅里叶红外光谱仪在复杂环境下的高精度测量提供了新方案。使用该混合模型可大幅提高光谱校正准确度,进而获得更为精准、适用于环境温度恶劣时的傅里叶红外光谱仪测量结果,在其他光谱仪产生温漂现象时的校正方面也有参考价值。 展开更多
关键词 傅里叶红外光谱仪 混合模型 光谱温漂 LSTM transformER
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基于时频图与视觉Transformer的滚动轴承智能故障诊断方法 被引量:3
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作者 齐萌 王国强 +2 位作者 石念峰 李传锋 何一心 《轴承》 北大核心 2024年第10期115-123,共9页
基于循环神经网络的故障诊断方法在计算过程中难以保存间隔时间过长的信息且无法并行计算,在大型数据建模方面存在不足,为提高轴承故障诊断工作的效率及准确性,提出了一种基于短时傅里叶变换时频图与视觉Transformer(ViT)的轴承故障诊... 基于循环神经网络的故障诊断方法在计算过程中难以保存间隔时间过长的信息且无法并行计算,在大型数据建模方面存在不足,为提高轴承故障诊断工作的效率及准确性,提出了一种基于短时傅里叶变换时频图与视觉Transformer(ViT)的轴承故障诊断方法:通过短时傅里叶变换将原始振动信号转换为二维时频图像,再将时频图作为特征图输入ViT网络中进行训练,详细分析网络参数对故障诊断性能和计算复杂度的影响,构建最优模型结构,最终实现轴承的故障诊断。采用凯斯西储大学和江南大学轴承数据对模型进行验证,结果表明该模型可以有效结合短时傅里叶变换在处理时变信号方面的优势和ViT网络强大的图像分类能力,具有更高的诊断精度和更好的泛化性、通用性。 展开更多
关键词 滚动轴承 故障诊断 傅里叶变换 神经网络 深度学习
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量化噪声对插值fast Fourier transform谐波估计的影响 被引量:6
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作者 陈晗霄 刘红星 王元庆 《南京大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第4期473-481,共9页
插值fast Fourier transform(FFT)算法是对谐波频率、幅度和相位三参数进行精确估计的常见方法.信号中的噪声无疑会影响插值FFT算法的谐波估计结果.有文献讨论过信号中的白噪声对插值FFT算法谐波估计结果的影响,尚没有文献讨论过A/D(ana... 插值fast Fourier transform(FFT)算法是对谐波频率、幅度和相位三参数进行精确估计的常见方法.信号中的噪声无疑会影响插值FFT算法的谐波估计结果.有文献讨论过信号中的白噪声对插值FFT算法谐波估计结果的影响,尚没有文献讨论过A/D(analog-to-digital)量化噪声对插值FFT算法谐波估计结果的影响.本文首先对插值FFT谐波估计算法做了简单介绍,接着对A/D量化噪声的特点进行了分析研究.在此基础上,仔细研究了量化噪声对插值FFT谐波估计方法的影响程度——给出了计算模型、进行了大量仿真计算、得出了量化噪声对谐波频率、幅度和相位3参数估计结果影响程度的结论.相信所得结论对电路设计中的A/D器件、信号调理器件等的选型有指导意义. 展开更多
关键词 量化噪声 插值fast fourier transform 谐波估计 影响
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基于插值fast Fourier transform谐波分析的桥梁状态评估方法 被引量:7
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作者 王俊 刘红星 《南京大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第4期482-487,共6页
桥梁的环境振动信号包含了各种环境噪声成分,如何从噪声影响中提取桥梁的真实自振频率,并进行桥梁状态评估是亟待解决的问题.本文对环境激励下的大跨桥梁响应信号进行了研究,根据环境激励在低频段近于平白噪声以及线性系统在环境激励下... 桥梁的环境振动信号包含了各种环境噪声成分,如何从噪声影响中提取桥梁的真实自振频率,并进行桥梁状态评估是亟待解决的问题.本文对环境激励下的大跨桥梁响应信号进行了研究,根据环境激励在低频段近于平白噪声以及线性系统在环境激励下,各输出点测量信号之间相关函数与结构的脉冲响应函数具有相同的数学表达式——均是主频正弦函数的叠加这一特点,建立了插值fast Fourier transform(FFT)频谱校正技术分析各测点相关函数的方法.该方法能在白噪声背景下精确提取桥梁振动频率、幅度和相位等模态参数,简单实用,不仅能在线识别参数,而且对桥梁单点激励和多点同时激励均适用.将校正后的主频与三维有限元计算结果相对比,能对桥梁结构整体状态和工作性能进行评估.最后,一座实桥动力试验和计算结果证明了该方法的能有效用于运营条件下桥梁状态的评估. 展开更多
关键词 频谱校正技术 频率 桥梁状态评估
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NYFR output pulse radar signal TOA analysis using extended Fourier transform and its TOA estimation 被引量:7
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作者 Zhaoyang Qiu Pei Wang +1 位作者 Jun Zhu Bin Tang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2017年第2期212-223,共12页
Nyquist folding receiver (NYFR) is a typical wideband analog-to-information architecture. Focusing on the non-cooperative receiving, the pulse radar signal intercepted by the NYFR in time domain is analyzed. The NYFR ... Nyquist folding receiver (NYFR) is a typical wideband analog-to-information architecture. Focusing on the non-cooperative receiving, the pulse radar signal intercepted by the NYFR in time domain is analyzed. The NYFR outputs under different input conditions are investigated based on the extended Fourier transform (EFT) and the sampling theorem. Combining with the characteristic of the NYFR output in time domain, a new time of arrival (TOA) estimation method based on the energy envelope and the wavelet transform is proposed. The proposed estimation method can be adapted for the non-cooperative situation. It has no requirement for prior information to determine the threshold and is not necessary to transform the signal into baseband. Simulation results prove the correctness of the NYFR output expressions and show the efficacy of the proposed estimation method. © 2017 Beijing Institute of Aerospace Information. 展开更多
关键词 fourier transforms RADAR Time domain analysis Wavelet transforms
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Anti-aliasing nonstationary signals detecion algorithm based on interpolation in the frequency domain using the short time Fourier transform 被引量:7
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作者 Bian Hailong Chen Guangju 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第3期419-426,共8页
To eliminate the aliasing that appeared during the measurement of multi-components nonstationary signals, a novel kind of anti-aliasing algorithm based on the short time Fourier transform (STFT) is brought forward. ... To eliminate the aliasing that appeared during the measurement of multi-components nonstationary signals, a novel kind of anti-aliasing algorithm based on the short time Fourier transform (STFT) is brought forward. First the physical essence of aliasing that occurs is analyzed; second the interpolation algorithm model is setup based on the Hamming window; then the fast implementation of the algorithm using the Newton iteration method is given. Using the numerical simulation the feasibility of algorithm is validated. Finally, the electrical circuit experiment shows the practicality of the algorithm in the electrical engineering. 展开更多
关键词 nonstationary signal INTERPOLATION ANTI-ALIASING short time fourier transform (STFT) iterative algorithm.
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Order selection in fractional Fourier transform based beamforming 被引量:5
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作者 Muhammad Ishtiaq Ahmad 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第3期361-369,共9页
Traditionally,beamforming using fractional Fourier transform(FrFT) involves a trial-and-error based FrFT order selection which is impractical.A new numerical order selection scheme is presented based on fractional p... Traditionally,beamforming using fractional Fourier transform(FrFT) involves a trial-and-error based FrFT order selection which is impractical.A new numerical order selection scheme is presented based on fractional power spectra(FrFT moment) of the linear chirp signal.This method can adaptively determine the optimum FrFT order by maximizing the second-order central FrFT moment.This makes the desired chirp signal substantially concentrated whereas the noise is rejected considerably.This improves the mean square error minimization beamformer by reducing effectively the signal-noise cross terms due to the finite data length de-correlation operation.Simulation results show that the new method works well under a wide range of signal to noise ratio and signal to interference ratio. 展开更多
关键词 adaptive beamforming fractional fourier transform (FrFT) fractional moments chirp signal.
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Fourier and wavelet transformations application to fault detection of induction motor with stator current 被引量:6
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作者 LEE Sang-hyuk 王一奇 SONG Jung-il 《Journal of Central South University》 SCIE EI CAS 2010年第1期93-101,共9页
Fault detection of an induction motor was carried out using the information of the stator current. After synchronizing the actual data, Fourier and wavelet transformations were adopted in order to obtain the sideband ... Fault detection of an induction motor was carried out using the information of the stator current. After synchronizing the actual data, Fourier and wavelet transformations were adopted in order to obtain the sideband or detail value characteristics under healthy and various faulty operating conditions. The most reliable phase current among the three phase currents was selected using an approach that employs the fuzzy entropy measure. Data were trained with a neural network system, and the fault detection algorithm was verified using the unknown data. Results of the proposed approach based on Fourier and wavelet transformations indicate that the faults can be properly classified into six categories. The training error is 5.3×10-7, and the average test error is 0.103. 展开更多
关键词 fourier transformation wavelet transformation induction motor fault detection
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Quasi-LFM radar waveform recognition based on fractional Fourier transform and time-frequency analysis 被引量:3
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作者 XIE Cunxiang ZHANG Limin ZHONG Zhaogen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2021年第5期1130-1142,共13页
Recent advances in electronics have increased the complexity of radar signal modulation.The quasi-linear frequency modulation(quasi-LFM)radar waveforms(LFM,Frank code,P1−P4 code)have similar time-frequency distributio... Recent advances in electronics have increased the complexity of radar signal modulation.The quasi-linear frequency modulation(quasi-LFM)radar waveforms(LFM,Frank code,P1−P4 code)have similar time-frequency distributions,and it is difficult to identify such signals using traditional time-frequency analysis methods.To solve this problem,this paper proposes an algorithm for automatic recognition of quasi-LFM radar waveforms based on fractional Fourier transform and time-frequency analysis.First of all,fractional Fourier transform and the Wigner-Ville distribution(WVD)are used to determine the number of main ridgelines and the tilt angle of the target component in WVD.Next,the standard deviation of the target component's width in the signal's WVD is calculated.Finally,an assembled classifier using neural network is built to recognize different waveforms by automatically combining the three features.Simulation results show that the overall recognition rate of the proposed algorithm reaches 94.17%under 0 dB.When the training data set and the test data set are mixed with noise,the recognition rate reaches 89.93%.The best recognition accuracy is achieved when the size of the training set is taken as 400.The algorithm complexity can meet the requirements of real-time recognition. 展开更多
关键词 quasi-linear frequency modulation(quasi-LFM)radar waveform time-frequency distribution fractional fourier transform(FrFT) assembled classifier
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A fast acquisition method of DSSS signals using differential decoding and fast Fourier transform 被引量:2
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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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Fourier transform infrared spectral features of plant biomass components during cotton organ development and their biological implications 被引量:1
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作者 HE Zhongqi LIU Yongliang +2 位作者 KIM Hee Jin TEWOLDE Haile ZHANG Hailin 《Journal of Cotton Research》 2022年第2期130-142,共13页
Background:The majority of attenuated total reflection Fourier transform infrared(ATR FT-IR)investigations of cotton are focused on the fiber tissue for biological mechanisms and understanding of fiber development and... Background:The majority of attenuated total reflection Fourier transform infrared(ATR FT-IR)investigations of cotton are focused on the fiber tissue for biological mechanisms and understanding of fiber development and maturity,but rarely on other cotton biomass comp on ents.This work examined in detail the ATR FT-IR spectral features of various cott on tissues/organs at reproductive and maturation stages,an a lyzed and discussed their biological implications.Results:The ATR FT-IR spectra of these tissues/organs were an a lyzed and compared with the focus on the lower wavenumber fingerprinting range.Six outstanding FT-IR bands at 1730,1620,1525,1235,1050 and 895 cm^(-1) represented the major C=O stretching,protein Amide I,Amide II,the O-H/N-H deformation,the total C-O-C stretching and the β-glycosidic linkage in celluloses,respectively,and impacted differently between these organs with the two growth stages.Furthermore,the band intensity at 1620,1525,1235,and 1050 cm^(-1) were exclusively and significantly correlated to the levels of protein(Amide I bond),protein(Amide II bond),cellulose,and hemicellulose,respectively,whereas the band at 1730 cm^(-1) was negatively correlated with ash content.Conclusions:The resulting observations indicated the capability of ATR FT-IR spectroscopy for monitoring changes,transportation,and accumulation of the major chemical components in these tissues over the cotton growth period.In other words,this spectral technology could be an effective tool for physiological,biochemical,and morphological research related to cotton biology and development. 展开更多
关键词 COTTON fourier transform infrared spectroscopy FIBER CELLULOSE PROTEIN Plant tissue
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基于DFT的频率敏感双分支Transformer多变量长时间序列预测方法 被引量:3
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作者 任烈弘 黄铝文 +1 位作者 田旭 段飞 《计算机应用》 CSCD 北大核心 2024年第9期2739-2746,共8页
在进行多变量长时间序列预测时,仅利用时域分析通常无法充分捕捉长时间序列依赖,而这会导致信息利用率不足、预测精度不够高。因此,结合频域时域分析,提出一种基于离散傅里叶变换(DFT)的频率敏感双分支多变量长时间序列预测(FSDformer)... 在进行多变量长时间序列预测时,仅利用时域分析通常无法充分捕捉长时间序列依赖,而这会导致信息利用率不足、预测精度不够高。因此,结合频域时域分析,提出一种基于离散傅里叶变换(DFT)的频率敏感双分支多变量长时间序列预测(FSDformer)方法。首先,通过DFT实现时间和频率的相互转换,从而将复杂的时间序列数据分解为结构简单的低频趋势项、中频季节项和高频余项3个分量;其次,采用双分支结构,针对中高频分量预测,应用Encoder-Decoder结构,设计了周期性增强注意力机制;针对低频趋势分量预测,采用多层感知机(MLP)结构;最后将中高频分量与低频分量预测结果相加,得到多变量长时间序列的最终预测结果。在2个数据集上把FSDformer与其他5个经典算法进行了对比分析,在Electricity数据集上,当历史序列长度为96,预测序列长度为336时,相较于Autoformer等对比算法,FSDformer的平均绝对误差(MAE)下降了11.5%~29.1%,均方误差(MSE)下降了20.9%~43.7%,达到了最优预测精度。实验结果表明,FSDformer能有效捕捉长时间序列的相关依赖,在提升预测精度和计算效率的同时,增强了模型预测的稳定性。 展开更多
关键词 离散傅里叶变换 频率敏感 时间序列预测 序列分解 transformER 周期性增强注意力
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基于Fourier变换红外光谱分析咖啡豆成分 被引量:1
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作者 于跃 胡长城 《吉林大学学报(理学版)》 CAS 北大核心 2024年第4期980-984,共5页
采用Fourier变换红外光谱对不同产区、不同海拔的5组浅中烘焙的咖啡豆样品进行分析,根据官能团的红外光谱特征峰分析样品主要成分;为进一步分析5组样品的成分差异,对原始光谱进行二阶导数处理,结合聚类分析理论建立平均偏离分析方法,计... 采用Fourier变换红外光谱对不同产区、不同海拔的5组浅中烘焙的咖啡豆样品进行分析,根据官能团的红外光谱特征峰分析样品主要成分;为进一步分析5组样品的成分差异,对原始光谱进行二阶导数处理,结合聚类分析理论建立平均偏离分析方法,计算出5组样品间的平均偏离大小并进行分析.结果表明:5组样品的红外光谱特征峰峰形相似,即主要成分相同;根据红外光谱得到平均偏离大小与产区海拔差值呈正相关.研究结果为分析咖啡豆产区和海拔提供鉴别依据,并对红外光谱研究提供一定参考. 展开更多
关键词 fourier变换红外光谱 平均偏离法 聚类分析 咖啡豆
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Identification of Plant-Pathogenic Fungi Using Fourier Transform Infrared Spectroscopy Combined with Chemometric Analyses
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作者 CHAI A-li WANG Yi-kai +3 位作者 ZHU Fa-di SHI Yan-xia XIE Xue-wen LI Bao-ju 《光谱学与光谱分析》 SCIE EI CAS CSCD 北大核心 2016年第11期3764-3771,共8页
Identification of plant-pathogenic fungi is time-consuming due to cultivation and microscopic examination and can be influenced by the interpretation of the micro-morphological characters observed.The present investig... Identification of plant-pathogenic fungi is time-consuming due to cultivation and microscopic examination and can be influenced by the interpretation of the micro-morphological characters observed.The present investigation aimed to create a simple but sophisticated method for the identification of plant-pathogenic fungi by Fourier transform infrared(FTIR)spectroscopy.In this study,FTIR-attenuated total reflectance(ATR)spectroscopy was used in combination with chemometric analysis for identification of important pathogenic fungi of horticultural plants.Mixtures of mycelia and spores from 27fungal strains belonging to nine different families were collected from liquid PD or solid PDA media cultures and subjected to FTIR-ATR spectroscopy measurements.The FTIR-ATR spectra ranging from 4 000to 400cm-1 were obtained.To classify the FTIRATR spectra,cluster analysis was compared with canonical vitiate analysis(CVA)in the spectral regions of3 050~2 800and 1 800~900cm-1.Results showed that the identification accuracies achieved 97.53%and99.18%for the cluster analysis and CVA analysis,respectively,demonstrating the high potential of this technique for fungal strain identification. 展开更多
关键词 fourier transform infrared spectroscopy(FTIR) Plant-pathogenic fungi IDENTIFICATION Cluster analysis Canonical vitiate analysis
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