Results 311 to 320 of about 3,466,261 (377)
Some of the next articles are maybe not open access.
2018
In the previous chapter, we observed a peculiar relation between the smoothness and the rapidity of vanishing at infinity of a function f, as well as its Fourier transform \(\hat {f}\). Based upon this observation, we introduce an important function space \(\mathfrak {S}\), which is invariant under the Fourier transforms. We then proceed to \(\mathfrak
openaire +1 more source
In the previous chapter, we observed a peculiar relation between the smoothness and the rapidity of vanishing at infinity of a function f, as well as its Fourier transform \(\hat {f}\). Based upon this observation, we introduce an important function space \(\mathfrak {S}\), which is invariant under the Fourier transforms. We then proceed to \(\mathfrak
openaire +1 more source
Quantum Fourier transform in computational basis
Quantum Information Processing, 2015The quantum Fourier transform, with exponential speed-up compared to the classical fast Fourier transform, has played an important role in quantum computation as a vital part of many quantum algorithms (most prominently, Shor’s factoring algorithm ...
S. S. Zhou +3 more
semanticscholar +1 more source
Fourier transform Raman spectroscopy
Mikrochimica Acta, 1986The basic experimental aspects of Fourier transform Raman Spectroscopy are reviewed with an emphasis on detector technology. The sensitivity is comparable to dispersive Raman Spectroscopy using visible lasers. The ease of spectral subtraction is demonstrated and examples are given showing the elimination of fluorescence.
openaire +2 more sources
Diskrete Fourier-Transformation und Fast Fourier Transform
2017Handelt es sich bei der Zeitfunktion x = x(t) um eine analytisch nicht darstellbare Funktion, lasst sich die Fourier-Transformation nur numerisch bewerkstelligen. Voraussetzung ist, dass x(t) eine periodische Funktion ist (Abb. 33.1). Handelt es sich bei x(t) um eine aperiodische Funktion, gelingt nur eine Naherung, indem eine fiktive Periode T ...
Christian Petersen, Horst Werkle
openaire +1 more source
Fourier Transform, Short-Time Fourier Transform, and Wavelet Transform
2018This chapter presents information about the Fourier transform (FT), short-time Fourier transform (STFT), and wavelet transform. This chapter also covers use of this transform in speech signal processing.
Komal R. Borisagar +2 more
openaire +1 more source
DieKurzzeit-Fourier-Transformation
2020In der Analyse von instationaren Prozessen, wie zum Beispiel Sprach- oder Musiksignalen, mochte man haufig Aufschluss uber die im Signal enthaltenen Spektralanteile gewinnen und diese zu Zeitpunkten bzw. Zeitintervallen zuordnen. Das bedeutet, man sucht eine Darstellung, in der die Signalanteile wie bei einem Notenblatt bezuglich ihres zeitlichen ...
openaire +1 more source
Metasurface holographic image projection based on mathematical properties of Fourier transform
, 2020Xumin Ding +10 more
semanticscholar +1 more source
Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry
, 1982M. Takeda, Hideki Ina, Seiji Kobayashi
semanticscholar +1 more source