2014
DOI: 10.22201/dgpyfe.9786070258381e.2014
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Estudio de un microacelerómetro realimentado con actuación electrostática y transducción saw

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(1 citation statement)
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“…For this reason, it was necessary to find an equation to normalise the transform of the spatial charge density and obtain independence between spectrum magnitude and the number of points used to calculate it. It has been demonstrated that the relationship between spatial charge density and its spectrum is given by [26, 27] Q=aaψ(x)dx=aπnormal∞ψfalse^)(kthinmathspacenormaldk where Q is the electric charge stored at the IDT, ψ ( x ) is the spatial charge density and it is an even function, ψfalse^)(k is its FT, − a and a are the positions of the edges of IDT and 2 a is the length of the IDT. The left‐hand side term of (1) is related with the charge storage at the IDT and it is known that the energy stored in a capacitor is given by Ec=Q22C where C is the capacitance and considering the next equation ψfalse^)(k=αψthinmathspacenormal′^)(k where α is a constant of proportionality and ψthinmathspacenormal′^)(k is the denormalised function which represents the spectrum obtained by the FFT.…”
Section: Theoretical Analysismentioning
confidence: 99%
“…For this reason, it was necessary to find an equation to normalise the transform of the spatial charge density and obtain independence between spectrum magnitude and the number of points used to calculate it. It has been demonstrated that the relationship between spatial charge density and its spectrum is given by [26, 27] Q=aaψ(x)dx=aπnormal∞ψfalse^)(kthinmathspacenormaldk where Q is the electric charge stored at the IDT, ψ ( x ) is the spatial charge density and it is an even function, ψfalse^)(k is its FT, − a and a are the positions of the edges of IDT and 2 a is the length of the IDT. The left‐hand side term of (1) is related with the charge storage at the IDT and it is known that the energy stored in a capacitor is given by Ec=Q22C where C is the capacitance and considering the next equation ψfalse^)(k=αψthinmathspacenormal′^)(k where α is a constant of proportionality and ψthinmathspacenormal′^)(k is the denormalised function which represents the spectrum obtained by the FFT.…”
Section: Theoretical Analysismentioning
confidence: 99%