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Experimental Consideration of Two-Dimensional Fourier Transform Spectroscopy 被引量:1
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作者 Liang Zhou Lie Tian Wen-kai Zhang 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2020年第4期385-393,I0001,共10页
Two-dimensional Fourier transform(2D FT) spectroscopy is an important technology that developed in recent decades and has many advantages over other ultrafast spectroscopy methods. Although 2D FT spectroscopy provides... Two-dimensional Fourier transform(2D FT) spectroscopy is an important technology that developed in recent decades and has many advantages over other ultrafast spectroscopy methods. Although 2D FT spectroscopy provides great opportunities for studying various complex systems, the experimental implementation and theoretical description of 2D FT spectroscopy measurement still face many challenges, which limits their wide application.Recently, the 2D FT spectroscopy reaches maturity due to many new developments which greatly reduces the technical barrier in the experimental implementation of the 2D FT spectrometer. There have been several different approaches developed for the optical design of the 2D FT spectrometer, each with its own advantages and limitations. Thus, a procedure to help an experimentalist to build a 2D FT spectroscopy experimental apparatus is needed.This tutorial review is intending to provide an accessible introduction for a beginner to build a 2D FT spectrometer. 展开更多
关键词 two-dimensional fourier transform spectroscopy two-dimensional infrared spectroscopy two-dimensional electronic spectroscopy
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Theory and algorithms for two-dimensional warped discrete Fourier transform 被引量:1
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作者 Xichun ZHANG Gang WEI 《控制理论与应用(英文版)》 EI 2006年第3期281-285,共5页
In this paper, the two-dimensional Warped Discrete Fourier Transform (2-D WDFT) is developed based on the concept of the 1-D WDFT. An exact computation algorithm is developed for 2-D WDFT based on matrix factorizing... In this paper, the two-dimensional Warped Discrete Fourier Transform (2-D WDFT) is developed based on the concept of the 1-D WDFT. An exact computation algorithm is developed for 2-D WDFT based on matrix factorizing with special structure. A fast algorithm is then proposed to reduce greatly the computational complexity of the inverse 2-D WDFT. Finally, numerical examples are given to show the efficiency of the proposed approach. 展开更多
关键词 Discrete fourier transform Non-uniform DFT Warped DFT
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基于非Fourier生物热传导解析解的激光辐照皮肤组织热损伤分析
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作者 张丽静 张齐 尚新春 《北京理工大学学报》 北大核心 2026年第2期192-201,共10页
较为准确地预测激光辐照下皮肤组织内部的热分布和热损伤是生物医学领域的一个难题.为探究这个问题,提出了一种使用Laplace和Hankel变换推导出解析解的策略.建立三维非Fourier热传导模型,并引入升温函数简化问题.通过积分变换及其逆变... 较为准确地预测激光辐照下皮肤组织内部的热分布和热损伤是生物医学领域的一个难题.为探究这个问题,提出了一种使用Laplace和Hankel变换推导出解析解的策略.建立三维非Fourier热传导模型,并引入升温函数简化问题.通过积分变换及其逆变换推导出解析解,并基于该解析解进行数值模拟,得到了不同辐照时间和半径下皮肤热分布和热损伤的预测结果,进而研究了激光辐照持续时间和半径对皮肤组织的影响.此外,对非Fourier热传导模型和经典Fourier热传导模型得到的皮肤组织热损伤预测结果进行了全面比较.分析结果表明,非Fourier和经典Fourier两种热传导模型所预测的热损伤深度是不同的.具体来讲,在短时间辐照时,非Fourier热传导理论的预测深度要小于Fourier热传导理论,而长时间辐照时,结果恰好相反. 展开更多
关键词 激光 生物材料 fourier效应 积分变换 解析解 热损伤
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Finite-Time Expected Present Value of Operating Costs until Ruin in a Two-Dimensional Risk Model with Periodic Observation
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作者 TENG Ye XIE Jiayi ZHANG Zhimin 《应用概率统计》 北大核心 2025年第5期748-765,共18页
This paper investigates ruin,capital injection,and dividends for a two-dimensional risk model.The model posits that surplus levels of insurance companies are governed by a perturbed composite Poisson risk model.This m... This paper investigates ruin,capital injection,and dividends for a two-dimensional risk model.The model posits that surplus levels of insurance companies are governed by a perturbed composite Poisson risk model.This model introduces a dependence between the two surplus levels,present in both the associated perturbations and the claims resulting from common shocks.Critical levels of capital injection and dividends are established for each of the two risks.The surplus levels are observed discretely at fixed intervals,guiding decisions on capital injection,dividends,and ruin at these junctures.This study employs a two-dimensional Fourier cosine series expansion method to approximate the finite time expected discounted operating cost until ruin.The ensuing approximation error is also quantified.The validity and accuracy of the method are corroborated through numerical examples.Furthermore,the research delves into the optimal capital allocation problem. 展开更多
关键词 two-dimensional risk model fourier cosine expansion capital injection DIVIDEND
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Pricing power option under NIG model using fast Fourier transform
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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)》 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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UNCERTAINTY PRINCIPLES AND SIGNAL RECOVERY RELATED TO THE CANONICAL FOURIER-BESSEL TRANSFORM
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作者 Jihed SAHBANI Lazhar DHAOUADI 《Acta Mathematica Scientia》 2025年第5期2190-2207,共18页
The aim of this paper is to prove another variation on the Heisenberg uncertainty principle,we generalize the quantitative uncertainty relations in n different(time-frequency)domains and we will give an algorithm for ... The aim of this paper is to prove another variation on the Heisenberg uncertainty principle,we generalize the quantitative uncertainty relations in n different(time-frequency)domains and we will give an algorithm for the signal recovery related to the canonical Fourier-Bessel transform. 展开更多
关键词 fourier Bessel transform linear canonical transform quantitative uncertainty principles Heisenberg uncertainty principle signal recovery
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Multi-Scale Fusion Network Using Time-Division Fourier Transform for Rolling Bearing Fault Diagnosis
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作者 Ronghua Wang Shibao Sun +3 位作者 Pengcheng Zhao Xianglan Yang Xingjia Wei Changyang Hu 《Computers, Materials & Continua》 2025年第8期3519-3539,共21页
The capacity to diagnose faults in rolling bearings is of significant practical importance to ensure the normal operation of the equipment.Frequency-domain features can effectively enhance the identification of fault ... The capacity to diagnose faults in rolling bearings is of significant practical importance to ensure the normal operation of the equipment.Frequency-domain features can effectively enhance the identification of fault modes.However,existing methods often suffer from insufficient frequency-domain representation in practical applications,which greatly affects diagnostic performance.Therefore,this paper proposes a rolling bearing fault diagnosismethod based on aMulti-Scale FusionNetwork(MSFN)using the Time-Division Fourier Transform(TDFT).The method constructs multi-scale channels to extract time-domain and frequency-domain features of the signal in parallel.A multi-level,multi-scale filter-based approach is designed to extract frequency-domain features in a segmented manner.A cross-attention mechanism is introduced to facilitate the fusion of the extracted time-frequency domain features.The performance of the proposed method is validated using the CWRU and Ottawa datasets.The results show that the average accuracy of MSFN under complex noisy signals is 97.75%and 94.41%.The average accuracy under variable load conditions is 98.68%.This demonstrates its significant application potential compared to existing methods. 展开更多
关键词 Rolling bearing fault diagnosis time-division fourier transform cross-attention multi-scale feature fusion
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Cytoprotective activity of Pogonatherum paniceum(Lam.)Hack.ethanolic extract evaluated by synchrotron radiation-based Fourier transform infrared microspectroscopy
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作者 Benjawan Dunkhunthod Kanjana Thumanu +2 位作者 Yothin Teethaisong Priyada Sittisart Patcharawan Sittisart 《Journal of Integrative Medicine》 2025年第2期182-194,共13页
Objective:The present study investigated the cytoprotective effects of a Pogonatherum paniceum extract prepared with 80%ethanol(PPE)using synchrotron radiation-based Fourier transform infrared(SR-FTIR)microspectroscop... Objective:The present study investigated the cytoprotective effects of a Pogonatherum paniceum extract prepared with 80%ethanol(PPE)using synchrotron radiation-based Fourier transform infrared(SR-FTIR)microspectroscopy and determined its phytochemical profile.Methods:The volatile and polyphenolic compounds in PPE were characterized using gas chromatography–mass spectrometry and liquid chromatography–mass spectrometry,respectively.The antioxidant capacity of PPE was evaluated using chemical and cell-based assays.The SR-FTIR microspectroscopy was performed to evaluate the cytoprotective effect of PPE by identifying changes in macromolecule composition in tert-butyl hydroperoxide(t BuOOH)-induced oxidative damage in RAW264.7 cells.Results:A total of 48 volatile compounds and 28 polyphenol components were found in PPE.PPE exhibited a high potential for antioxidant activity by scavenging the intracellular reactive oxygen species in t Bu OOH-induced oxidative damage in RAW264.7 cells.PPE treatment also significantly protected RAW264.7 cells against t BuOOH-induced toxicity and restored cell viability.The SR-FTIR analysis revealed that t BuOOH increased the lipid and ester lipid content in RAW264.7 cells.The PPE exerted a cytoprotective effect by decreasing the levels of lipid and ester lipid compounds that had been elevated by t BuOOH in RAW264.7 cells.These findings indicate that PPE has cytoprotective potential due to its ability to inhibit endogenous reactive oxygen species.Conclusion:This study extends the current knowledge on the phytochemistry of PPE and its antioxidant and cytoprotective effects.These findings support the use of SR-FTIR microspectroscopy to determine the cytoprotective effects of natural products.PPE extract may be a candidate compound for new therapeutics and nutraceuticals that target the prevention of oxidative stress-associated diseases. 展开更多
关键词 Pogonatherum paniceum Reactive oxygen species Antioxidant Phytochemical CYTOPROTECTIVE Synchrotron radiation-based fourier transform infrared microspectroscopy
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Microstructure effect of mechanical and cracking behaviors on brittle rocks using image-based fast Fourier transform method
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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》 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 Two-dimensional Genetic Algorithm Based on the Eno-Haar Wavelet Transform
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作者 宋锦萍 赵晨萍 李登峰 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第3期377-383,共7页
A two-dimensional genetic algorithm of wavelet coefficient is presented by using the ENO wavelet transform and the decomposed characterization of the two-dimensional Haar wavelet. And simulated by the ENO interpolatio... A two-dimensional genetic algorithm of wavelet coefficient is presented by using the ENO wavelet transform and the decomposed characterization of the two-dimensional Haar wavelet. And simulated by the ENO interpolation the article shows the affectivity and the superiority of this algorithm. 展开更多
关键词 wavelet transform ENO-Haar wavelet transform two-dimensional genetic algorithm
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Transforming a Two-Dimensional Layered Insulator into a Semiconductor or a Highly Conductive Metal through Transition Metal Ion Intercalation
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作者 Xiu Yan Wei-Li Zhen +4 位作者 Shi-Rui Weng Ran-Ran Zhang Wen-Ka Zhu Li Pi Chang-Jin Zhang 《Chinese Physics Letters》 SCIE CAS CSCD 2021年第5期89-93,共5页
Atomically thin two-dimensional(2D) materials are the building bricks for next-generation electronics and optoelectronics, which demand plentiful functional properties in mechanics, transport, magnetism and photorespo... Atomically thin two-dimensional(2D) materials are the building bricks for next-generation electronics and optoelectronics, which demand plentiful functional properties in mechanics, transport, magnetism and photoresponse.For electronic devices, not only metals and high-performance semiconductors but also insulators and dielectric materials are highly desirable. Layered structures composed of 2D materials of different properties can be delicately designed as various useful heterojunction or homojunction devices, in which the designs on the same material(namely homojunction) are of special interest because preparation techniques can be greatly simplified and atomically seamless interfaces can be achieved. We demonstrate that the insulating pristine ZnPS_3, a ternary transition-metal phosphorus trichalcogenide, can be transformed into a highly conductive metal and an n-type semiconductor by intercalating Co and Cu atoms, respectively. The field-effect-transistor(FET) devices are prepared via an ultraviolet exposure lithography technique. The Co-ZnPS_3 device exhibits an electrical conductivity of 8 × 10^(4) S/m, which is comparable to the conductivity of graphene. The Cu-ZnPS_3 FET reveals a current ON/OFF ratio of 1-05 and a mobility of 3 × 10^(-2 )cm^(2)·V^(-1)·s^(-1). The realization of an insulator, a typical semiconductor and a metallic state in the same 2D material provides an opportunity to fabricate n-metal homojunctions and other in-plane electronic functional devices. 展开更多
关键词 transforming a two-dimensional Layered Insulator into a Semiconductor or a Highly Conductive Metal through Transition Metal Ion Intercalation
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基于Fourier近似Wasserstein距离的隐式全波形反演方法
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作者 陈星铨 黄兴国 +2 位作者 王乃建 雷云山 许银坡 《中国石油大学学报(自然科学版)》 北大核心 2026年第1期35-44,共10页
全波形反演作为一种高分辨率地下成像技术,在实际应用中仍面临低频数据缺失、周期跳跃以及噪声干扰等一系列挑战,因此提出一种基于Fourier近似Wasserstein距离的隐式全波形反演方法。在目标函数层面,利用Wasserstein距离与Fourier系数... 全波形反演作为一种高分辨率地下成像技术,在实际应用中仍面临低频数据缺失、周期跳跃以及噪声干扰等一系列挑战,因此提出一种基于Fourier近似Wasserstein距离的隐式全波形反演方法。在目标函数层面,利用Wasserstein距离与Fourier系数之间的有界关系,构建基于Fourier近似的低频增强型目标函数。通过对地震数据中低波数成分进行加权增强,提高模型背景速度的恢复质量,从而有效缓解周期跳跃问题。在模型重参数化层面,引入基于正弦激活函数的神经网络对速度模型进行隐式表征,利用其连续的高维映射特性替代传统的离散网格表示,在提高模型表征自由度的同时为反演过程引入由参数化带来的平滑约束。选取Marmousi、Marmousi2和SEG Salt 3个典型模型,分别在低频缺失、线性初始模型、含噪场景和强散射介质等条件下评估方法的有效性。结果表明,在初始模型较差、低频缺失、噪声干扰和强散射等复杂条件下,所提方法均表现出优异的鲁棒性与收敛性,能够有效克服周期跳跃并显著提升反演精度。 展开更多
关键词 地震成像 全波形反演 Wasserstein距离 模型重参数化 fourier变换 周期跳跃
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Reservoir information extraction using a fractional Fourier transform and a smooth pseudo Wigner-Ville distribution 被引量:5
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作者 王祝文 王晓丽 +3 位作者 向旻 刘菁华 张雪昂 杨闯 《Applied Geophysics》 SCIE CSCD 2012年第4期391-400,494,495,共12页
Currently, it is difficult for people to express signal information simultaneously in the time and frequency domains when analyzing acoustic logging signals using a simple-time or frequency-domain method. It is diffic... Currently, it is difficult for people to express signal information simultaneously in the time and frequency domains when analyzing acoustic logging signals using a simple-time or frequency-domain method. It is difficult to use a single type of time-frequency analysis method, which affects the feasibility of acoustic logging signal analysis. In order to solve these problems, in this paper, a fractional Fourier transform and smooth pseudo Wigner Ville distribution (SPWD) were combined and used to analyze array acoustic logging signals. The time-frequency distribution of signals with the variation of orders of fractional Fourier transform was obtained, and the characteristics of the time-frequency distribution of different reservoirs under different orders were summarized. Because of the rotational characteristics of the fractional Fourier transform, the rotation speed of the cross terms was faster than those of primary waves, shear waves, Stoneley waves, and pseudo Rayleigh waves. By choosing different orders for different reservoirs according to the actual circumstances, the cross terms were separated from the four kinds of waves. In this manner, we could extract reservoir information by studying the characteristics of partial waves. Actual logging data showed that the method outlined in this paper greatly weakened cross-term interference and enhanced the ability to identify partial wave signals. 展开更多
关键词 Fractional fourier transform smooth pseudo Wigner-Ville distribution arrayacoustic logging signal processing RESERVOIRS
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Fourier Transform Infrared Spectral Difference of Leaf Tips in Rice Related to Nitrogen Fertilizer Rates 被引量:2
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作者 周启发 沈掌泉 王人潮 《Acta Botanica Sinica》 CSCD 2002年第5期547-550,共4页
Fourier transform infrared spectroscopy (FTIR) was used to detect the spectral difference among leaf tips from rice ( Oryza sativa L.) plants with different nitrogen fertilizer rates. The proposed spectral index,... Fourier transform infrared spectroscopy (FTIR) was used to detect the spectral difference among leaf tips from rice ( Oryza sativa L.) plants with different nitrogen fertilizer rates. The proposed spectral index, ( A 3400 - A 1653 )/( A 3400 + A 1653 ) ( A denotes absorption value at certain frequency (cm -1 )), was found to decline with the increase of nitrogen fertilizer rates and the results suggested that FTIR may be useful to diagnose nitrogen status in crops. 展开更多
关键词 Oryza sativa NITROGEN fourier transform infrared spectroscopy
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Rice Crop Digital Image Compression Technology Based on Discrete Fourier Transform 被引量:1
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作者 黄新民 姚军财 +2 位作者 何军锋 申静 黄晓洲 《Agricultural Science & Technology》 CAS 2012年第3期634-637,共4页
[Objective] To study the digital image compression technology in rice monitoring system. [Method] A digital image compression technology program based on the discrete Fourier transform was proposed, and simulation exp... [Objective] To study the digital image compression technology in rice monitoring system. [Method] A digital image compression technology program based on the discrete Fourier transform was proposed, and simulation experiments were carried out to compress the image at different compression ratios. [Result] When com- pression ratios were less than 30, the compression ratio, image entropy, average codeword length, coding efficiency and redundancy which reflected the quality of the coding, and the parameter PSNR which estimated the fidelity of the compressed im- age were all achieved good results that human eye could barely percept the differ- ence between the original image and decompressed image; and when the compres- sion ratios were more than 30, there was a certain distortion in the decompressed image. And when the compression ratio was 91.516 3, although the image had some distortion, the PSNR was still achieved to 21.528 2, and human eye could accept the decompressed image intuitively within the acceptable error range. [Conclusion] The results show that the proposed image compression program is a viable, effective, and better image compression technology which can satisfy the requirements of the crop monitoring system on image storage, transforming and transporting. 展开更多
关键词 Digital image Compression fourier transform Peak Signal-to-Noise Ratio
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Detection of Broad Bean Diseases by Fourier Transform Infrared Spectroscopy Combined with Curve Fitting 被引量:1
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作者 汪小华 刘刚 +4 位作者 欧全宏 周湘萍 郝建明 刘剑虹 汪禄祥 《Agricultural Science & Technology》 CAS 2015年第6期1310-1313,共4页
Fourier transform infrared (FTIR) spectroscopy was used to study diseased leaves in broad bean. Results showed that the infrared spectra of different broad bean diseased leaves were similar, which were mainly made u... Fourier transform infrared (FTIR) spectroscopy was used to study diseased leaves in broad bean. Results showed that the infrared spectra of different broad bean diseased leaves were similar, which were mainly made up of the vibrational absorption bands of protein,lipid and polysaccharide.There were minor differences in-cluding the spectral peak position, peak shape and the absorption intensity in the range of 1 800-1 300 cm-1. There were obvious differences among their second derivative spectra in the range of 1 800-1 300 cm-1. After the procedure of the Fourier self-deconvolution and curve fitting of health bean leaves and broad bean diseased leaves in the range of 1 700-1 500 cm-1, three sub-peaks were obtained at 1 550 cm-1 (protein amide Ⅱ band), 1 605 cm-1 (lignin) and 1 650 cm-1 (protein amide I band).The ratios of relative areas of the bands of amide Ⅱ, lignin, and amide I were 38.86%, 28.68% and 32.47% in the spectra of healthy leaves, respec-tively. It was distinguished from the diseased leaves (chocolate spot leaf: 15.42%, 42.98% and 41.61%, ring spot leaf:32.39%, 35.63% and 31.98%, rust leaf: 13.97%, 46.40% and 39.65%, yel owing leaf curl disease leaf: 24.01%,36.55% and 39.44%). For sub-peak area ratios (A1 563/A1 605, A1 650/A1 605 and A1 563/A1 654), those of four kinds of diseased leaves were smal er than that of healthy leaves, and there were also differences among four kinds of diseased leaves. The results proved that FTIR combining with curve fitting might be a potential y useful tool for detecting different kinds of broad bean diseases. 展开更多
关键词 fourier transform infrared (FTIR) spectroscopy Broad bean diseases Second derivative spectra Curve fitting
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The Similarity Transformation of Regularizing Functionals and Simularity Property of Their Fourier Transformations
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作者 祝同江 《Journal of Beijing Institute of Technology》 EI CAS 1995年第2期105+99-105,共8页
Let and denote respectively the functionswhere λ≥1, The author discusses the similarity transformation of the regularizing functionals of these functions and the similar property of their Fourier transformation.
关键词 fourier transform generalized functions/similarity transformation regularizing functionals
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The Fourier Transform of a Sort of Generalized Function
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作者 祝同江 《Journal of Beijing Institute of Technology》 EI CAS 1996年第2期106+101-106,共7页
The Fourier transforms of functions X ln e are given. where λ is a complex constant (λ≠-1,-2. …), a is a complex number. m=0. 1. 2,…,and
关键词 fourier transform generalized function analytic exextension
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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FFT-iTransformer的网络安全态势特征插补与预测 被引量:1
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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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