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  • Digitale Medien  (6)
  • Buch  (1)
  • 2000-2004  (4)
  • 1970-1974  (3)
  • 1890-1899
  • Fourier analysis
  • 1
    Buch
    Buch
    Sampling, wavelets, and tomography / (2003)
    Boston :Birkhäuser,
    Details
    Titel: Sampling, wavelets, and tomography /
    Beteiligte Person(en): Benedetto, John , Zayed, Ahmed I.
    Verlag: Boston :Birkhäuser,
    Erscheinungsjahr: 2003
    Seiten: p. cm
    Serie: Applied and computational harmonic analysis
    ISBN: 0-8176-4304-4 , 3-7643-4304-4
    Materialart: Buch
    Sprache: Englisch
    Schlagwort(e): Hamonic analysis ; Wavelets (Mathematics) ; Fourier analysis ; Sampling (Statistics) ; Tomography
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    ZIB Katalog
    Zuse-Institut Berlin get availability status
  • 2
    Digitale Medien
    Digitale Medien
    The Sampling Theorem and Several Equivalent Results in Analysis (2000)
    Springer
    Journal of computational analysis and applications 2 (2000), S. 333-371 
    Details
    ISSN: 1572-9206
    Schlagwort(e): sampling theorem ; Cauchy's integral formula ; Poisson's summation formula ; Fourier analysis ; complex analysis
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1010164717587
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  • 3
    Digitale Medien
    Digitale Medien
    Fourier analysis of steady-state visual evoked potentials in subjects with normal and defective stereo vision (2000)
    Springer
    Documenta ophthalmologica 101 (2000), S. 233-246 
    Details
    ISSN: 1573-2622
    Schlagwort(e): binocular vision ; Fourier analysis ; strabismus ; temporal frequency ; visual evoked potential (VEP)
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Medizin
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1002876804178
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  • 4
    Digitale Medien
    Digitale Medien
    A new dual activation simulator of the left heart that reproduces physiological and pathological conditions (2000)
    Springer
    Medical & biological engineering & computing 38 (2000), S. 558-561 
    Details
    ISSN: 1741-0444
    Schlagwort(e): Hydrodynamic simulation ; Pulse duplicator ; Cardiovascular system ; Atrial fibrillation ; Fourier analysis
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Biologie , Chemie und Pharmazie , Medizin
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02345753
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  • 5
    Digitale Medien
    Digitale Medien
    A geomathematic investigation of syntexis in a Gabbroic formation (1973)
    Springer
    Mathematical geology 5 (1973), S. 321-339 
    Details
    ISSN: 1573-8868
    Schlagwort(e): factor analysis ; Fourier analysis ; mapping ; petrology
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Geologie und Paläontologie , Mathematik
    Notizen: Abstract Mathematical methods were employed in an investigation of syntexis in the “Gabbro di Sondalo,” a mafic igneous formation in the Central Alps (Italy). A set of 100 specimens was selected according to sampling criteria and analyzed by X-ray fluorescence for eight elements; Q-mode and R-mode factor analysis then was applied to these data. Results of the computations indicate that the general trend of differentiation is related to the syntexis of gneissic wall rocks (“Gneiss del Monte Tonale”) in the mafic melt. Ca and Mg are abundant in the gabbro, and Si and K in the gneiss; the independent variation trend of Fe and Ti may be related to a differentiation episode due to a magmatic phase. Spatial representation of multivariate data on differentiation also was performed on the main elements and a picture of the trend of syntexis was mapped.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02111984
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  • 6
    Digitale Medien
    Digitale Medien
    Z-trend maps for quick recognition of geologic patterns (1971)
    Springer
    Mathematical geology 3 (1971), S. 171-181 
    Details
    ISSN: 1573-8868
    Schlagwort(e): Fourier analysis ; graphics ; mapping ; spatial filtering ; trend analysis ; stratigraphy ; structure
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Geologie und Paläontologie , Mathematik
    Notizen: Abstract Z-trend maps are a simplified lineprinter version of spatially filtered maps designed to give a quick visual appraisal of trends. The printout shows a “yes-no” configuration by a printed character or a blank so that the map has a conspicuous pattern. This pattern reflects the presence, position, and trend of the desired features. If a reasonable symbol density ratio is used the results can be visually pleasing thus enhancing trend recognition. Z-trending can be adapted to any map with stationary properties but is most easily applied to data that have been filtered with a bandpass operator.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02045959
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  • 7
    Digitale Medien
    Digitale Medien
    On smoothing techniques for the removal of periodic noise of known period (1971)
    Springer
    Mathematical geology 3 (1971), S. 157-170 
    Details
    ISSN: 1573-8868
    Schlagwort(e): data processing ; Fourier analysis ; moving average ; time series
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Geologie und Paläontologie , Mathematik
    Notizen: Abstract This paper is concerned with the analysis of the linear modely(n)=Xβ(n)+S(n)+γ(n) for the data sequencey(n) (n=1, 2, ..., N) whereX={x IJ} is a knownJ × M matrix of full rankM. Here, theβ(n) are unknown vectors, which we wish to estimate for eachn; S(n) (n=1, 2, ..., N) is a periodic component (which we wish to estimate or remove) superimposed on the linear structureXβ(n); andγ(n) is an error vector which is specified as having zero expectation (with possible further properties). Such models commonly occur in geophysical data analysis.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02045958
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