1966
DOI: 10.1109/te.1966.4321930
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The Convolution Theorem in Modern Analysis

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Cited by 5 publications
(3 citation statements)
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“…To numerically obtain the distribution of turnover times and avoid analytically solving the convolutions, we evaluate it computationally using the convolution theorem based on Fourier transforms. 28 Therefore, the two-and three-step distributions (i.e. 𝑝 2 and 𝑝 3 , respectively) are…”
Section: Rate Of a Catalytic Turnover Cycle (F1-atpase Model)mentioning
confidence: 99%
“…To numerically obtain the distribution of turnover times and avoid analytically solving the convolutions, we evaluate it computationally using the convolution theorem based on Fourier transforms. 28 Therefore, the two-and three-step distributions (i.e. 𝑝 2 and 𝑝 3 , respectively) are…”
Section: Rate Of a Catalytic Turnover Cycle (F1-atpase Model)mentioning
confidence: 99%
“…Based on Fourier optics, the Fourier lens of optical element can realize the Fourier transform and complete the conversion of time-space domain and frequency domain. According to the convolution theorem [29], the convolution of two two-dimensional continuous functions in the space domain can be obtained by the inverse transformation of the product of their corresponding two Fourier transforms. On the contrary, convolution in the frequency domain can be obtained by Fourier transform of product in the space domain.…”
Section: The Implementation Based On the Fourier Transformmentioning
confidence: 99%
“…Since the complementary optical sensors permit precise measurements of CO 2 both in the sidestream cavity and at-mouth, the instrument transfer function can be obtained that enables the sidestream NO signal to be accurately transformed into the at-mouth F E NO. Formally, to achieve this, we employ the convolution theorem [47] and calculate the instrument response function for the DAS-CEAS system at each exhalation.…”
Section: Measurement Of F E No Expirogramsmentioning
confidence: 99%