Fourier Transforms - Century of Digitalization and Increasing Expectations最新文献

Establishment of FTIR Database of Roselle Raw Material Originated From Western Coastline in Peninsular Malaysia 马来西亚半岛西海岸罗塞尔原料FTIR数据库的建立

Fourier Transforms - Century of Digitalization and Increasing Expectations Pub Date : 2019-12-04 DOI: 10.5772/intechopen.84837

Choong Yew Keong, N. Yousof, J. Jamal, Mohd Isa Wasiman

引用次数: 1

Application of Fourier Analysis of Cerebral Glucose Metabolism in Color-Induced Long-Term Potentiation: A Novel Functional PET Spectroscopy (fPETS) Study in Mice 脑糖代谢傅立叶分析在色致长时程增强中的应用:一种新型功能PET光谱(fpet)研究

Fourier Transforms - Century of Digitalization and Increasing Expectations Pub Date : 2019-05-25 DOI: 10.5772/INTECHOPEN.85641

P. Njemanze, Mathias Kranz, P. Brust

{"title":"Application of Fourier Analysis of Cerebral Glucose Metabolism in Color-Induced Long-Term Potentiation: A Novel Functional PET Spectroscopy (fPETS) Study in Mice","authors":"P. Njemanze, Mathias Kranz, P. Brust","doi":"10.5772/INTECHOPEN.85641","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.85641","url":null,"abstract":"Fourier time-series analysis could be used to segregate changes in the ventral and dorsal streams of the visual system in male and female mice. Color memory processes of long-term potentiation and long-term depression could be identified through spectral analysis. We used small animal positron emission tomography and magnetic resonance imaging (PET/MRI) to measure the accumulation of [ 18 F] fluorodeoxyglucose ([ 18 F]FDG) in the mouse brain during light stimulation with blue and yellow filters compared to darkness condition. The mean standardized uptake values (SUV) of [ 18 F]FDG for each stimulus condition was analyzed using standard Fourier analysis software to derive spectral density estimates for each condition. Spectral peaks were identified as originating from the subcortical region (S-peak) by subcortical long-term potentiation (SLTP) or depression (SLTD), and originating from the cortical region (C-peak) by cortical long-term potentiation (CLTP) or depression (CLTD). Luminance opponency occurred at S-peak by SLTP in the dorsal stream in the left visual cortex in male mice. On the other hand, chromatic opponency occurred by wavelength-differencing at C-peak by CLTP in the cortico-subcortical pathways in the ventral stream in the left visual cortex in male mice. In contrast in female mice, during luminance processing, there was resonance phenomenon at C-peak in the ventral stream in the right visual cortex. Chromatic opponency occurred at S-peak by SLTP in the dorsal stream in the right visual cortex in female mice. Application of Fourier analysis improved spatial and temporal resolutions of conventional f PET/MRI methods. Computation of color processing as a conscious experience has wide range applications in neuroscience and artificial intelligence.","PeriodicalId":280462,"journal":{"name":"Fourier Transforms - Century of Digitalization and Increasing Expectations","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134641464","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

Fourier Transforms for Generalized Fredholm Equations 广义Fredholm方程的傅里叶变换

Fourier Transforms - Century of Digitalization and Increasing Expectations Pub Date : 2019-05-08 DOI: 10.5772/INTECHOPEN.85993

J. M. V. Arcos, Ricardo Teodoro Paez Hernandez, Alejandro Perez Ricardez, Jaime Granados Samaniego

{"title":"Fourier Transforms for Generalized Fredholm Equations","authors":"J. M. V. Arcos, Ricardo Teodoro Paez Hernandez, Alejandro Perez Ricardez, Jaime Granados Samaniego","doi":"10.5772/INTECHOPEN.85993","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.85993","url":null,"abstract":"In this chapter we take the conventional Fredholm integral equations as a guideline to define a broad class of equations we name generalized Fredholm equations with a larger scope of applications. We show first that these new kind of equations are really vector-integral equations with the same properties but with redefined and also enlarged elements in its structure replacing the old traditional concepts like in the case of the source or inhomogeneous term with the generalized source useful for describing the electromagnetic wave propagation. Then we can apply a Fourier transform to the new equations in order to obtain matrix equations to both types, inhomogeneous and homogeneous generalized Fredholm equations. Meanwhile, we discover new properties of the field we can describe with this new technology, that is, mean; we recognize that the old concept of nuclear resonances is present in the new equations and reinterpreted as the brake of the confinement of the electromagnetic field. It is important to say that some segments involving mathematical details of our present work were published somewhere by us, as part of independent researches with different specific goals, and we recall them as a tool to give a sound support of the Fourier transforms.","PeriodicalId":280462,"journal":{"name":"Fourier Transforms - Century of Digitalization and Increasing Expectations","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133895505","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

Analysis of Financial Time Series in Frequency Domain Using Neural Networks 基于神经网络的金融时间序列频域分析

Fourier Transforms - Century of Digitalization and Increasing Expectations Pub Date : 2019-04-09 DOI: 10.5772/INTECHOPEN.85885

Stefan Nikolic, G. Nikolić

引用次数: 2

Directional Denoising Using Fourier Spectrum Cloning 利用傅立叶谱克隆进行定向去噪

Fourier Transforms - Century of Digitalization and Increasing Expectations Pub Date : 2019-03-29 DOI: 10.5772/INTECHOPEN.85519

L. Navarro, J. Molimard

引用次数: 0

Fourier Transform in Ultrafast Spectroscopy 超快光谱学中的傅里叶变换

Fourier Transforms - Century of Digitalization and Increasing Expectations Pub Date : 2019-03-15 DOI: 10.5772/INTECHOPEN.84897

A. Chauvet

引用次数: 0

The Discrete Hankel Transform 离散汉克尔变换

Fourier Transforms - Century of Digitalization and Increasing Expectations Pub Date : 2015-06-18 DOI: 10.5772/INTECHOPEN.84399

N. Baddour

引用次数: 2

The RR Interval Spectrum, the ECG Signal, and Aliasing RR间隔频谱，心电信号，和混叠

Fourier Transforms - Century of Digitalization and Increasing Expectations Pub Date : 1999-11-11 DOI: 10.5772/INTECHOPEN.85327

A. Gersten, O. Gersten, A. Ronen, Y. Cassuto

{"title":"The RR Interval Spectrum, the ECG Signal, and Aliasing","authors":"A. Gersten, O. Gersten, A. Ronen, Y. Cassuto","doi":"10.5772/INTECHOPEN.85327","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.85327","url":null,"abstract":"A reliable spectral analysis requires sampling rate at least twice as large as the frequency bound, otherwise the analysis will be unreliable and plagued with aliasing distortions. The RR samplings do not satisfy the above requirements and therefore their spectral analysis might be unreliable. \u0000In order to demonstrate the feasibility of aliasing in RR spectral analysis, we have done an experiment which have shown clearly how the aliasing was developed. In the experiments, one of us (A.G) had kept his high breathing rate constant with the aid of metronome for more than 5 minutes. The breathing rate was larger than one-half the heart rate. Very accurate results were obtained and the resulting aliasing well understood. To our best knowledge this is the first controlled experiment of this kind coducted on humans. \u0000We compared the RR spectral analysis with the spectrum of the ECG signals from which the RR intervals were extracted. In the significant for RR analysis frequencies (below one-half Hertz) significant differences were observed. \u0000In conclusion we recommend to study the spectral analysis of the ECG signal in the free of aliasing frequency range.","PeriodicalId":280462,"journal":{"name":"Fourier Transforms - Century of Digitalization and Increasing Expectations","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131526314","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: 2