Integral transforms and their applications
Citations
549 citations
Cites background from "Integral transforms and their appli..."
...The Transfer Function Fourier Transform [10] (TFFT) of the receiver module C̃(f) is:...
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...where c̃R(f) and s̃R(f) are the Fourier transforms [10] of the particle concentration cR(t) at the receiver location and the system output signal sR(t), respectively....
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...where Ṽin(f) and Ĩout(f) are the Fourier transforms [10] of...
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...where Ĩin(f) and Ĩout(f) are the Fourier transforms [10] of the input voltage Iin(t) and output voltage Iout(t), respectively....
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...Assuming that the receiver is located at the Cartesian coordinate x̄R, the particle concentration cR(t) at the receiver corresponds to the particle concentration c(x̄, t) in the space S at x̄ = x̄R: c(x̄, t)|x̄=x̄R = cR(t) → sR(t) (29) The Transfer Function Fourier Transform [10] (TFFT) of the receiver module C̃(f) is: C̃(f) = s̃R(f) c̃R(f) (30) where c̃R(f) and s̃R(f) are the Fourier transforms [10] of the particle concentration cR(t) at the receiver location and the system output signal sR(t), respectively....
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528 citations
344 citations
Cites background from "Integral transforms and their appli..."
...The stochastic models are analyzed in terms of random processes, such as in (22) and (49), and their effects on the end-to-end model are expressed in terms of root mean square (RMS) perturbation of the noise on the signal, as in (31) and (65)....
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...The particle sampling noise physical model is further detailed through (9), (10), (12), (13), (15), and (16), while the particle sampling noise physical model is detailed in (34), (35), (37), (38), (39), (40), (41), and (42)....
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295 citations
Cites background or methods from "Integral transforms and their appli..."
...The transfer function Fourier transform [15] as function of the frequency of the Green’s function [24] of the Fick’s diffusion from (12) has the following expression:...
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...where is the transfer function Fourier transform [15] as function of the frequency of the Green’s function [24] of the Fick’s diffusion, expressed by (12)....
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...in bits, where is the received signal per time sample, multiplied by the maximum time sample rate in 1/sec given by the Shannon–Hartley theorem [15]:...
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...of the particle distribution as the sum of the entropy per second of the transmitted signal and the integral of the transfer function Fourier transform [15] of the Green’s function [24] of the Fick’s diffusion in the portion of its frequency spectrum that is excited by the transmitted signal :...
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180 citations
Cites background from "Integral transforms and their appli..."
...…network model is developed as a solution to the Navier–Stokes equation [12], which relates the blood velocity vector ul(r, t), function of the radial coordinate r and the time variable t, in every location of the cardiovascular system to the blood pressure p(t) as functions of the time t....
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References
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549 citations
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180 citations