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  • 2000-2004  (4)
  • 1985-1989  (27)
  • 1920-1924
  • Fourier analysis
  • 1
    Book
    Book
    Boston :Birkhäuser,
    Title: Sampling, wavelets, and tomography /
    Contributer: Benedetto, John , Zayed, Ahmed I.
    Publisher: Boston :Birkhäuser,
    Year of publication: 2003
    Pages: p. cm
    Series Statement: Applied and computational harmonic analysis
    ISBN: 0-8176-4304-4 , 3-7643-4304-4
    Type of Medium: Book
    Language: English
    Keywords: Hamonic analysis ; Wavelets (Mathematics) ; Fourier analysis ; Sampling (Statistics) ; Tomography
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of computational analysis and applications 2 (2000), S. 333-371 
    ISSN: 1572-9206
    Keywords: sampling theorem ; Cauchy's integral formula ; Poisson's summation formula ; Fourier analysis ; complex analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract First we show that several fundamental results on functions from theBernstein spaces $$B_\sigma ^p $$ (such as Bernstein's inequality andthe reproducing formula) can be deduced from a weak form of the classicalsampling theorem. In §3 we discuss the mutual equivalence of thesampling theorem, the derivative sampling theorem and a harmonic functionsampling theorem. In §§4–6 we discuss connections between thesampling theorem and various important results in complex analysis andFourier analysis. Our considerations include Cauchy's integral formula,Poisson's summation formula, a Gaussian integral, certain properties ofweighted Hermite polynomials, Plancherel's theorem, the maximum modulusprinciple, and the Phragmén–Lindelöf principle.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Documenta ophthalmologica 101 (2000), S. 233-246 
    ISSN: 1573-2622
    Keywords: binocular vision ; Fourier analysis ; strabismus ; temporal frequency ; visual evoked potential (VEP)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract The purpose of this work was to study the second harmonic in the steady state pattern visual evoked potential (ssVEP) to various stimulus frequencies in subjects with normal and defective binocularity. ssVEPs were elicited by 4 c/deg sinusoidal gratings, with temporal frequencies ranging from 5 to 20 Hz (exp. 1) and 15 to 27.5 Hz (exp. 2). Responses were Fourier analysed and power and phase of the second harmonic to stimulus frequency were measured. For power, binocular enhancement in a bimodal fashion was found both in normals and in subjects with defective binocularity. The power with binocular stimulation was significantly higher in the normal group in the high frequency domain. Latency, estimated from the phase-frequency function, was longer in the group with defective binocularity, but this was statistically significant only for the high frequency domain. The results suggest that a visual system with normal binocular function can follow a stimulus with high temporal frequency more accurately than a system with disturbed binocularity.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Medical & biological engineering & computing 38 (2000), S. 558-561 
    ISSN: 1741-0444
    Keywords: Hydrodynamic simulation ; Pulse duplicator ; Cardiovascular system ; Atrial fibrillation ; Fourier analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract Heart valve replacements are often associated with cardiac pathologies, but valvular prostheses are still tested in vitro under the same physiological conditions as for a healthy young man. Therefore a new mock circulatory system of the left heart, the dual activation simulator (DAS), has been built. The DAS allows atrial and ventricular dynamics to be controlled with pumps that activate anatomically shaped silicon models of the cavities. The mitral flow is a two-peak waveform. The E/A ratio can be changed, and the A-wave can be suppressed to simulate, for instance, atrial fibrillation. The cardiac rhythm and the mean flow-rate can be changed at will. The ability of the DAS to reproduce physiological flow is assessed by computation of the aortic input impedance and by harmonic analysis of left ventricular and atrial pressures. It allows the behaviour of valve prostheses to be studied in various conditions of concern to clinicians and can be a useful tool for engineers to improve valve prostheses or validate diagnostic tools such as 3D colour Doppler. The DAS and its capacities are described.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Computers and the humanities 23 (1989), S. 277-283 
    ISSN: 1572-8412
    Keywords: Statistics ; correlation analysis ; principal components analysis ; time series analysis ; Fourier analysis ; semantic patterning ; imagery
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Media Resources and Communication Sciences, Journalism
    Notes: Abstract This paper describes a computer-assisted analysis of semantic patterning in William Blake'sThe Four Zoas and considers the way in which such patterns contribute to the structure and meaning of the work. The analysis involves examining combinations and recombinations of images across the text for concentrations of images and images groups, recurring images, and patterns in the distribution of individual images and clusters of images. Statistical correlation routines were used to determine the degree of correlation among images across the extire text as well as in specific text segments. Principal components analysis enabled identifying thematic clusters of images, and the distribution of these clusters across these text were in turn examined to determine their patterning. Finally, time series analysis and Fourier analysis were used to find and verify patterns in the distribution of images across the text. Fourier analysis revealed striking patterns in the distribution of imagery in theZoas, which suggests that Blake may have used such patterns to help convey the poem's powerful thematic statements.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 131 (1989), S. 211-239 
    ISSN: 1420-9136
    Keywords: Fourier analysis ; fractal ; frequency spectra ; roughness ; stationarity ; numerical modeling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Fractal analysis and Fourier analysis are independent techniques for quantitatively describing the variability of natural figures. Both methods have been applied to a variety of natural phenomena. Previous analytical work has formulated relationships between the fractal dimension and power law form frequency spectrum.Mandelbrot (1985) has shown that difficulties arise when the ruler method for measuring dimensionality is applied to other than self-similar figures. Since an investigator presumably does not know in advance the dimensionality of a natural profile, it is essential to quantify the nature of the discrepancy for self-affine cases. In this study, a series of experiments are conducted in which discrete random series of specified spectral forms are analyzed using the fractal ruler method. The various parameters of the fractal measurement are related to the parameters of the spectral model. In this way, empirical relationships between the techniques can be derived for discrete, finite series which simulate the results of applying the fractal method to observational data. The results of the study indicate that there are considerable discrepancies between the results predicted by theory and those derived empirically. The fundamental power law form of length versus resolution pairs does not hold over the entire region of analysis. The predicted linear relationship between fractal dimension and exponent of the frequency spectrum does not hold, and the spectral signals can be extended beyond the limits of dimension inferred by theory. Root-mean-square variability is also shown to be linearly related to the fractal intercept term. An investigation of the effect of nonstationary sampling is conducted by generating signals composed of segments of differing spectral characteristics. Fractal analyses of these signals appear identical to those conducted on stationary series. The discrepancies between theoretical prediction and empirical results described in this study reflect the difficulties of applying analytically derived techniques to measurement data. Both Fourier and fractal techniques are formulated through rigorous mathematics, assuming various conditions for the underlying signal. When these techniques are applied to discrete, finite length, nonstationary series, certain statistical transformations must be applied to the data. Methods such as windowing, prewhitening, and anti-aliasing filters have been developed over many years for use with Fourier analysis. At present, no such statistical theory exists for use with fractal analysis. It is apparent from the results of this study that such a statistical foundation is required before the fractal ruler method can be routinely applied to observational data.
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1619-7089
    Keywords: Ischemic heart disease ; Gated radionuclide ventriculography ; Regional left ventricular motility injury ; Fourier analysis ; Factor analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Left ventricular phase and amphlitude images (Fourier analysis, PAI) and factor analysis images (FAI) from gated radionuclide ventriculography were obtained in 235 patients after myocardial infarction (MI) and in 44 patients with well documented ischemic heart disease (IHD) in order to assess areas of regional left ventricular motility injury (LVMI). The sensitivity of FAI for LVMI detection was higher than with PAI (36.3% vs 22.7% in patients without MI; 76.6% vs 68% in those after anterior MI; and 53.2% vs 31.9% after posterior MI, respectively). In 2.9% of all patients PAI were unclear due to small time activity amplitudes and heart rate irregularity, whereas FAI could be easily assessed. Significantly decreased left ventricular ejection fraction was observed predominantly after anterior MI in connection with distinct signs of LVMI in a large area of anterior wall or in the anteroseptal and/or apical region. Areas of LVMI could be sharply delineated in FAI; however, in contrast to PAI, FAI is unable to distinguish between dyskinetic and akinetic regions. The use of both PAI and FAI is recommended for more detailed detection of regional LVMI in patients with IHD.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Water resources management 3 (1989), S. 259-269 
    ISSN: 1573-1650
    Keywords: Evapotranspiration ; stochastic model ; Fourier analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geography
    Notes: Abstract Daily meteorological data over a period of nine years from Helliniko Station (Athens, Greece) are used to produce daily potential evapotranspiration (PET) series. A multipliative model describes the periodic and stochastic components of the series where Fourier aproximations of two- or three-harmonic periodic components and a first-order autoregressive one are employed, respectively. The assessment of adequacy of the model is based on the properties of (a) the correlogram and (b) the spectrum of a white noise process. The model is further used to generate daily PET values. Generated and historical data show remarkable affinity in average arithmetic mean, coefficient of variation, skewness coefficient and their standard deviations.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Documenta ophthalmologica 72 (1989), S. 9-19 
    ISSN: 1573-2622
    Keywords: binocular facilitation ; binocular summation ; flicker ; Fourier analysis ; pattern reversal ; visual evoked potentials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Evidence is controversial in respect to the optimal conditions in which visual evoked potentials provide an objective measure of binocular visual function, related and unrelated to stereopsis, and there is little emphasis on the type of stimulus that produces facilitation in binocular recording. We investigated the effects of stimulus type (flicker or pattern), contrast, and temporal modulation on facilitation, which was defined as a binocular response greater than sum of monocular responses. Monocular and binocular responses to sinusoidally modulated flicker and grating patterns were recorded in children and Fourier analyzed. The relationship of the fundamental Fourier component for flicker and the second harmonic component for pattern were each examined as function of temporal modulation at two levels of contrast for monocular and binocular visual evoked potentials. Binocular facilitation was found across all conditions for flicker. Data suggest that processing of pattern and flicker has different sites of origin within the visual system. Facilitation in binocular visual evoked potentials also indicates that they are not a result of simple summation of monocular responses, since there appears a nonlinear component to such interaction.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Documenta ophthalmologica 73 (1989), S. 347-357 
    ISSN: 1573-2622
    Keywords: pattern electroretinogram ; Fourier analysis ; fovea ; retinal eccentricity ; spatial tuning ; visual field
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract To investigate the value of the extrafoveal pattern electroretinogram for evaluation of local retinal defects, electroretinographic responses to contrast reversal stimulation were recorded at various locations in the central and midperipheral retina. Normal values were established in 20 eyes, and spatial selectivity at different retinal eccentricities was determined in four eyes. The response amplitude was found to decrease steeply from the fovea until about 12° eccentricity and to decline only slowly thereafter. For central stimulation a clear attenuation for coarser patterns was observed. At 20° and at 30° eccentricity the spatial tuning function exhibited a bandpass characteristic, with the maximum amplitude shifting to lower spatial frequencies. Despite the relatively low peripheral amplitudes a satisfactory signal to noise ratio of the second harmonic responses can be obtained by Fourier analysis, which improves clinical applicability. The comparison of sensitivity in the upper and lower retina revealed a considerable asymmetry, with responses in the upper retina approximately 20% higher. No significant difference, however, was found when the temporal or nasal retina was stimulated. The reproducibility of these results is high enough to encourage clinical studies. A case of retinal venous branch occlusion exemplifies the applicability of this technique in eccentric fundus lesions.
    Type of Medium: Electronic Resource
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  • 11
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 9 (1989), S. 833-853 
    ISSN: 0271-2091
    Keywords: Fourier analysis ; Dispersion relation ; Reflected/transmitted evanescent waves ; Crank-Nicolson linear finite element scheme ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The numerical scheme upon which this paper is based is the 1D Crank-Nicolson linear finite element scheme. In Part I of this series it was shown that for a certain range of incident wavelengths impinging on the interface of an expansion in nodal spacing, an evanescent (or spatially damped) wave results in the downstream region. Here in Part III an analysis is carried out to predict the wavelength and the spatial rate of damping for this wave. The results of the analysis are verified quantitatively with seven ‘hot-start’ numerical experiments and qualitatively with seven ‘cold-start’ experiments. Weare has shown that evanescent waves occur whenever the frequency of a disturbance at a boundary exceeds the maximum frequency given by the dispersion relation. In these circumstances the ‘extended dispersion’ relation can be used to determine the rate of spatial decay.In the context of a domain consisting of two regions with different nodal spacings, the use of the group velocity concept shows that evanescent waves have no energy flux associated with them when energy is conserved.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 9 (1989), S. 783-810 
    ISSN: 0271-2091
    Keywords: Non-uniform mesh ; Wave Reflection/transmission ; Crank-Nicolson finite elements ; Fourier analysis ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: This is the first of a series of three related papers dealing with some of the consequences of non-uniform meshes in a numerical model. In this paper the accuracy of the Crank-Nicolson linear finite element scheme, which is applied to the linear shallow water equations, is examined in the context of a single abrupt change in nodal spacing. The (in)accuracy is quantified in terms of reflection and transmission coefficients. An incident wave impinging on the interface between two regions with different nodal spacings is shown to give rise to no reflected waves and two transmitted waves. The analysis is verified using three different wavelengths (2Δx, 4Δx 8Δx) in three ‘hot-start’ numerical experiments with a mesh expansion factor of 2 and three experiments with a mesh contraction factor of 1/2. An energy flux analysis based on the concept of group velocity shows that energy is conserved across the interface.
    Additional Material: 16 Ill.
    Type of Medium: Electronic Resource
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  • 13
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 9 (1989), S. 811-832 
    ISSN: 0271-2091
    Keywords: Fourier analysis ; Non-uniform mesh ; Wave reflection/transmission ; Group velocity ; Crank-Nicolson finite elements ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Internal wave reflections and transmissions are examined for the Crank-Nicolson linear finite element scheme applied to the linear shallow water equations in a ID domain containing an abrupt change in nodal spacing. In Part I of this series the reflection/transmission analysis was verified by some ‘hot-start’ numerical experiments. Here in Part II, however, that analysis is found wanting when it comes to providing a description of the pseudo-steady state wave configuration which develops with some ‘cold-start’ experiments. It is shown that the analysis of Part I can be extended to take in both the ‘hot-’ and ‘cold-start’ experimental results such that four essentially different wave configurations can be identified. The four configurations are discernible on the basis of group velocity. In order to be sustained, two of the configurations require one energy source whereas the other two require two energy sòurces. Numerical experiments confirmed the analysis.
    Additional Material: 14 Ill.
    Type of Medium: Electronic Resource
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  • 14
    Electronic Resource
    Electronic Resource
    Springer
    Cellular and molecular life sciences 44 (1988), S. 776-777 
    ISSN: 1420-9071
    Keywords: Fourier analysis ; growth ; selection ; size ; shape
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary Fourier analysis of videodigitised outlines of mouse vertebrae from two stocks, a pseudo-longitudinal series of mice aged 25–60 days and one selected for large or small body size over many generations shows that the shape changes due to normal growth are not similar to those produced by selection for body size.
    Type of Medium: Electronic Resource
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  • 15
    Electronic Resource
    Electronic Resource
    Springer
    European journal of clinical pharmacology 34 (1988), S. 433-437 
    ISSN: 1432-1041
    Keywords: procaterol ; airway responsiveness ; bronchodilator ; dynamic compliance ; Fourier analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Medicine
    Notes: Summary We studied the effective site of an inhaled aerosol of procaterol, a β2-selective adrenergic bronchodilator, in 8 asthmatic patients whose basal lung functions are almost within the normal range in both slow vital capacity (VC) and forced expiratory volume in one second (FEV1.0), and are free from asthmatic attack. In patients who had received procaterol 30 min after inhalation of aerosol, there was no significant change in VC, although FEV1.0, maximal expiratory flow at 50% VC $$(\dot V_{50} )$$ , maximal expiratory flow at 25% VC $$(\dot V_{25} )$$ and maximal expiratory flow at 30% VC of partial maximal expiratory flow volume curve $$(\dot V_{30p} )$$ improved significantly. On the other hand, in those who had received placebo, none of the parameters changed. Furthermore, Rl decreased and C0.5 increased significantly during the first 5 min after inhalation of procaterol aerosol. After an interval of 5 min, Rl did not change any further, while C0.5 continued to improve until 30 min after inhalation of procaterol. These results suggest that procaterol may first dilate the large airway and then may gradually dilate the small airway in bronchial asthma.
    Type of Medium: Electronic Resource
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  • 16
    Electronic Resource
    Electronic Resource
    Springer
    Documenta ophthalmologica 68 (1988), S. 283-292 
    ISSN: 1573-2622
    Keywords: Pattern-electroretinogram ; melanoma ; retinal detachment ; glaucoma ; rod-electroretinogram ; cone-electroretinogram ; Fourier analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract A comparison between results obtained by pattern electroretinography (ERG), Ganzfeld cone and rod-ERG was made in 7 patients suffering from melanoma, glaucoma and retinal detachment. It was shown that the extent of the lesions, not seen ophthalmoscopically, can be well monitored by the second harmonic component of pattern electroretinography in cases where conventional Ganzfeld ERG's do not reveal defects. Especially damage caused by acute glaucoma attacks and those stemming from chronic hypertension can be well differentiated.
    Type of Medium: Electronic Resource
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  • 17
    Electronic Resource
    Electronic Resource
    Springer
    Documenta ophthalmologica 69 (1988), S. 153-159 
    ISSN: 1573-2622
    Keywords: diabetic retinopathy ; electroretinogram ; Fourier analysis ; oscillatory potentials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Studying the oscillatory potentials in diabetic retinopathy, the authors experienced several problems interpreting results of digital filtering. The main problem was the separation of the first potential from the a-wave, since their frequencies are within the same range. To improve the procedure of measuring implicit times and of calculating amplitudes, the filtering was started with a finite impulse response filter and followed by a fast Fourier transform. The power of the oscillatory potential was calculated by determining the dominant frequency in the Fourier transformed response and expressed in microwatts. A group of normal subjects was compared with a group of early diabetic retinopathy patients. It appears that even in pathological circumstances a quantitative expression of the oscillatory potential is possible.
    Type of Medium: Electronic Resource
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  • 18
    ISSN: 1619-7089
    Keywords: Fourier analysis ; Orthogonal factor analysis ; Factor analysis of dynamic structures ; Cardiac phantom
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Orthogonal and oblique factor analysis represent an alternative to Fourier analysis in the evaluation of cardiac dynamic behaviour in gated blood pool studies. In order to estimate their respective places, orthogonal factor analysis (OFA), factor analysis of dynamic structures (FADS) and Fourier analysis (FA) are tested on a dynamic and periodical phantom with well known and reproducible kinetics. The phantom data are acquired under standard conditions by varying the counting rates and the temporal frequency sampling. To compare the results of the three methods with maximal objectivity, the relative contribution of each component is calculated. With standard acquisition conditions, FA and OFA give very close results. Only a minor advantage in evaluation of small phase differences is observed with OFA. FADS solutions are effectively related to the dynamic behaviour of the phantom, but their interpretation is more complicated and the quality of the oblique factors is reduced as the number of calculated factors increases. The influence of the counting statistics on FA, OFA and FADS is very similar. However, in cases of undersampling, robustness is demonstrated with the factorial technics.
    Type of Medium: Electronic Resource
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  • 19
    ISSN: 1619-7089
    Keywords: First pass ventriculography ; Coronary artery disease ; 99mTc-DTPA ; Cardiac functional images ; Fourier analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Rest and exercise radionuclide ventriculograms were performed in 61 non infarcted, male, patients who underwent cardiac catheterization for chest pain and in 16 normal control subjects. Studies were performed using the first pass method with a fast single crystal gamma camera, which allowed a count rate of 140±19 Kcounts/sec to be reached during left ventricular filling; the count integral on left ventricular area was 10.8±1.6 Kcounts and the maximum count/pixel 155±16. We analyzed sensitivity, specificity, positive and negative predictive value of global ejection fraction (EF) and of the regional wall motion in identifying ventricular function abnormalities due to obstructive coronary artery disease. The regional wall motion was evaluated with four functional images: regional ejection fraction (REF), amplitude (A) and phase (PH) from Fourier analysis and systolic transit times (TT). Sensitivity was near 90% for EF, REF, A and TT, while PH was less sensitive (80%); all functional images were more specific (nearly 90%) than EF (80%). Both sensitivity and specificity were lower for the exercise EKG (59% and 63%, respectively) in this patient group. Significant differences between single vessel and multiple vessel disease were also observed either for the EF increase/decrease (-1.34±7.4 and-7.82±9.96; P〈0.05) or for the number of segments which developed wall motion abnormalities during exericise (1.22±0.73 and 2.15±1.04; P〈0.02). In conclusion, with our method, a fast single crystal gamma camera is suitable for obtaining optimal first pass radionuclide ventriculograms with a count density sufficient either for global or regional left ventricular function evaluation. First pass radionuclide ventriculography seems to provide very high diagnostic accuracy in the detection of cornorary artery disease in non infarcted, male, subjects.
    Type of Medium: Electronic Resource
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  • 20
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    Springer
    Acta applicandae mathematicae 5 (1986), S. 37-85 
    ISSN: 1572-9036
    Keywords: 35Q10 ; 76B15 ; 76D05 ; 76C20 ; Navier-Stokes ; equatorial modes ; Fourier analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Our purpose is to calculate waves propagating along the equator in an oceanic domain and the influence of a characteristic mean equatorial circulation on the nature of these waves. Equations satisfied by perturbations of currents and temperature are of the Navier-Stokes type and have been linearized around a stationary solution. Existence and uniqueness of the solution have been proved. Numerical experiments have been carried out and provided us with time-dependent values. The excited waves are exhibited by Fourier analysis of these time series.
    Type of Medium: Electronic Resource
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  • 21
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    Springer
    Experimental brain research 64 (1986), S. 5-18 
    ISSN: 1432-1106
    Keywords: Striate cortex ; Fourier analysis ; Receptive fields
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Simple cells in the macaque striate cortex were tested with bars, edges and gratings. Spatial frequency tuning curves could be predicted from the spatial profiles plotted with bars and edges and the bandwidth could be evaluated more accurately by computing the mean from measured and predicted tuning curves. The results suggest that the mean relative spatial frequency bandwidth (Δf/fo) is nearly constant and of a moderate value. But at each optimal spatial frequency, cells with different bandwidths (about a factor of two) were recorded. The shapes of spatial response profiles resemble the corresponding spatial and spatial frequency characteristics of line and edge detectors evaluated psychophysically. Among the remaining cell types, concentric cells tend to be tuned to lower spatial frequencies and have broader bandwidths, whereas periodic cells prefer higher spatial frequencies and have narrower bandwidths. Thus the mean relative bandwidth tends to decrease significantly with spatial frequency (as required by a system of patch-by-patch Fourier analysis) only when cells with poor orientation selectivity and the non-linear silent periodic cells are included along with the simple cells. Simple cells, on their own, seem to form a quasi-linear contrast processing system which is more biased towards spatial accuracy than spatial frequency selectivity.
    Type of Medium: Electronic Resource
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  • 22
    ISSN: 1619-7089
    Keywords: Fourier analysis ; Cardiac phantom model ; Artificial heart
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Using pusher-plate-type artificial hearts, changes in the degree of synchrony and stroke volume were compared to phase and amplitude calculations from the first Fourier component of individual-pixel time-activity curves generated from gated radionuclide images (RNA) of these hearts. In addition, the ability of Fourier analysis to quantify paradoxical volume shifts was tested using a ventricular aneurysm model by which the Fourier amplitude was correlated to known increments of paradoxical volume. Predetermined phase-angle differences (incremental increases in asynchrony) and the mean phase-angle difference calculated from RNAs showed an agreement of -7°±4.4° (mean ±SD). A strong correlation was noted between stroke volume and Fourier amplitude (r=0.98; P〈0.0001) as well as between the paradoxical volume accepted by the ‘aneurysm’ and the Fourier amplitude (r=0.97; P〈0.0001). The degree of asynchrony and changes in stroke volume were accurately reflected by the Fourier phase and amplitude values, respectively. In the specific case of ventricular aneurysms, the data demonstrate that using this method, the paradoxically moving areas may be localized, and the expansile volume within these regions can be quantified.
    Type of Medium: Electronic Resource
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  • 23
    ISSN: 1619-7089
    Keywords: Ejection fraction ; Fourier analysis ; Second-derivative techniques ; Edge detection ; Ventriculography
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary In order to measure ejection fractions (EFs) from nuclear ventriculograms, we devised a semi-automated edge-detection technique based on a combination of inverse Fourier analysis and second-derivative techniques. Initial clinical studies showed that, for the left ventricle, our method gives EF values statistically identical with those obtained using a conventional isocontour technique. For the right ventricle, however, the values obtained using the two methods were somewhat more at variance. Despite requiring a longer processing time, the results obtained with our method are reproducible because less operator intervention is necessary.
    Type of Medium: Electronic Resource
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  • 24
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    Springer
    Medical & biological engineering & computing 24 (1986), S. 255-260 
    ISSN: 1741-0444
    Keywords: Aging ; Arteriosclerosis ; Autocorrelation ; Fourier analysis ; Photoplethysmography ; Pulse wave velocity ; Serum lipid
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract Pulse wave patterns at a finger and a toe are obtained using photoplethysmography. The data recorded at two recording sites are transformed by digital filters into six waveforms and the transmission time of each wave is estimated by the crosscorrelation function. Relationships between the transmission times, age, and parameters obtained from several laboratory tests are examined using multiple regression analysis. The results may be summarised as follows: the power of photoplethysmograms of a finger and a toe is concentrated in the range below 6 or 8 Hz; age correlates highly with the transmission time of a pulse wave rather than with velocity; the multiple correlation coefficients between age and the transmission times is 0·853 in male and 0·866 in female; there are no differences of transmission time among disease types; the correlations between age and other parameters measured by laboratory tests, that is, total cholesterol, phospholipid, triglyceride, β-lipoprotein, are very small.
    Type of Medium: Electronic Resource
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  • 25
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    Springer
    Experimental brain research 61 (1985), S. 21-37 
    ISSN: 1432-1106
    Keywords: Posture control ; Motion vision ; Static vision ; Stroboscopic illumination ; Accelerometry ; Fourier analysis ; Man
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The differential contributions of static versus dynamic visual cues to postural control were studied in human subjects. Lateral body oscillations were measured with accelerometers located at head, hips and ankle levels, while subjects righted their balance under various mechanical conditions: i) on either a soft (foam rubber) support or a hard one, and ii) in either the classical or the sharpened Romberg stance. The visual pattern (horizontal or vertical rectangular grating) was illuminated with either a stroboscopic bulb or a normal one, and control measurements were also taken in darkness for each mechanical condition. Acceleration signals were processed into their frequency power spectra, the mean area and shape of which were taken to characterize the postural skills involved and the effects of either the visual suppressions or the mechanical destabilizations. Although dynamic visual cues have already been found to play a major role in the control of lateral body sway (Amblard and Crémieux 1976), we demonstrate here that static visual cues, the only ones available under stroboscopic illumination, also make a clear though minor contribution. Hence we suggest the existence of two modes of visual control of lateral balance in man, which are well separated in terms of the frequency range of body sway: the first mechanism, which operates below 2 Hz and is strobe-resistant, seems to control the orientation of the upper part of the body; the second mechanism, which operates above 4 Hz, centers on about 7 Hz and is strobe-vulnerable, seems to immobilize the body working upwards from the feet. Thus static visual cues may slowly control re-orientation or displacement, whereas dynamic visual cues may contribute to fast stabilization of the body. In between the frequency ranges at which these two visuomotor mechanisms come into play, at about 3 Hz, there is what we call a “blind frequency”, a visually neutral sway frequency which may arise from the incompatibility of visual reorientation with visual stabilization, and where vision appears unable to reduce postural sway to any marked extent. Transmission of the destabilization produced by suppression of visual cues or by mechanical methods from one anatomical level to another is also briefly discussed in terms of bio-mechanical constraints, and the correlations between various pairs of levels are considered.
    Type of Medium: Electronic Resource
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  • 26
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    Springer
    The journal of membrane biology 85 (1985), S. 233-243 
    ISSN: 1432-1424
    Keywords: Chara ; Fourier analysis ; fusicoccin ; inductive effect ; membrane impedance ; pH
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Summary The white noise method of measuring membrane impedance has been applied to internodal cells ofChara corallina. Fourier analysis of a white noise transmembrane current signal and the voltage response has been used to obtain the frequency-dependent impedance of the in-series combination of the plasmalemma and tonoplast membranes. The results are similar to those of other workers who have measured membrane impedances by different techniques. At very low frequencies the equivalent capacitance of the membrane treated as an RC-circuit becomes negative, indicating a pseudoinductive effect. Membrane impedance has been measured over a range of pH values from pH 5.2 to pH 11; impedance magnitude reaches a maximum at pH 7. At interesting effect of fusicoccin at pH 11 has been observed, in which a decrease in membrane conductance occurs simultaneously with a small hyperpolarization of membrane PD.
    Type of Medium: Electronic Resource
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  • 27
    ISSN: 1619-7089
    Keywords: Time-activity curve ; peak filling rate ; filling fraction ; Fourier analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Two methods for the analysis of left ventricle time-activity curve (TAC) of equilibrium gated ventriculography were compared in three groups of subjects [8 controls, 13 patients with coronary artery disease (CAD), 11 patients with myocardial infarction (MI). The first method was based on third-degree polynomial fitting, the second on Fourier analysis. The following parameters were calculated: peak ejection rate (PER), peak filling rate (PFR), time to PER and PFR, and filling fraction at the first third of diastole. A preliminary study of changing values of PER and PFR and of the mean error with increasing number of harmonics summed in order to obtain the best fitting of TAC demonstrated that beyond the sum of the first four harmonics there was no further significant improvement. The advantages of Fourier analysis are as follows: 1) it is independent of the operator and fits only one function to the whole cardiac cycle; 2) it requires less computer time; 3) it provides better differentiation between controls and CAD patients. All of the 13 CAD patients had abnormal PFR on Fourier analysis, only 9 on polynomial analysis. At rest, 9 of the CAD patients had wall motion abnormalities, while only two had an abnormal ejection fraction.
    Type of Medium: Electronic Resource
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  • 28
    ISSN: 1619-7089
    Keywords: Pattern recognition ; Fourier analysis ; Conduction abnormalities ; Radionuclide scintigraphy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract This study of biventricular segmental timing sequences compared patterns of the first-harmonic phase with those of multiharmonic Fourier-analysis-derived parameters to determine their suitability for the classification of patients using an automatic pattern recognition scheme. The study involved nine patients with normal ECGs, six with left bundle branch block, 4 with right bundle branch block, and 6 with right-ventricular pacemakers; all patients had normal left-ventricular function. The segmental sequence described by the time of end systole was similar to that described by the first-harmonic phase, with a lower correlation using the time of maximum filling rate, and a rather poor correlation of the time of maximum ejection rate with the other parameters. Thus, despite theoretical difficulties, timing patterns described by phase best agreed with those of the time of end systole. Intersegmental timing differences were used as criteria for discriminating between groups by means of a sequential logic tree. Using either phase, time of end systole or time of maximum ejection rate, all patients were correctly classified into the four ECG categories. More intersegmental timing differences were useful as criteria for phase (57) than for the time of end systole (45) or the time of maximum ejection rate (30). The first-harmonic phase was more efficient than the time of end systole for separating patient groups. Sequential biventricular timing disorders can be objectively classified using either first-harmonic or multiharmonic Fourier analysis, and their patterns can be automatically recognized and used for classification.
    Type of Medium: Electronic Resource
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  • 29
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    European journal of nuclear medicine 10 (1985), S. 500-504 
    ISSN: 1619-7089
    Keywords: Fourier analysis ; Breathing artifacts ; List mode
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract The frequency content of the ungated radionuclide time-activity curves for left and right ventricles was analyzed using a power spectrum estimation technique. This technique was applied to ten patients. It was observed that 75% of the contraction power of any ventricle was contained in the fundamental and at least 98% contained in the fundamental plus the first harmonic. Patients presenting bigeminy and trigeminy had a completely different spectrum distribution which calls for a different interpretation. Low frequency spectrum lines have been observed at breathing frequency. Up to 62% of the total power may be contained in those spectrum lines.
    Type of Medium: Electronic Resource
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  • 30
    Electronic Resource
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    Springer
    Mathematical geology 17 (1985), S. 729-742 
    ISSN: 1573-8868
    Keywords: varves ; Fourier analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Varves from many environments have been used as paleoclimatic indicators. Measurement of varve thicknesses has typically been done manually, but an automated procedure would provide more accurate measurements with considerable savings in time. An automated method described herein involves digitizing an x ray of the core with a high-resolution optical densitometer. The two-dimensional optical density field is filtered to enhance the varve signal, and the filtered series is then used to define a series of line segments representing varve boundaries. The distance between adjacent boundaries is then averaged across the core to obtain the mean thickness of each layer. A section of thin laminae from near the bottom of a long core from the Gulf of California (Deep Sea Drilling Project Hole 480) is analyzed to illustrate the technique.
    Type of Medium: Electronic Resource
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  • 31
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    Medical & biological engineering & computing 23 (1985), S. 511-516 
    ISSN: 1741-0444
    Keywords: Cardiovascular system ; Flow visualisation ; Fourier analysis ; Hydrodynamic simulation ; Input impedance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract A physical model is developed for the simulation of the left heart and systemic circulation. The simulator includes a transparent and compliant ventricle pumping into an arterial model. The ability of the system to reproduce thein vivo conditions accurately is demonstrated by quantitative comjcarisons with physiological pressure and flow waveforms. As an example of application, flow patterns within the ventricle obtained by visualisation techniques and ultrasonic Doppler velocimetry are presented. Its versatility makes the system an essential tool in cardiovascular flow dynamics.
    Type of Medium: Electronic Resource
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