Download Analog-to-Digital Conversion by Marcel Pelgrom PDF

By Marcel Pelgrom

The layout of an analog-to-digital converter or digital-to-analog converter is likely one of the such a lot interesting initiatives in micro-electronics. In a converter the analog international with all its intricacies meets the world of the formal electronic abstraction. either disciplines needs to be understood for an optimal conversion resolution. In a converter additionally method demanding situations meet expertise possibilities. smooth platforms depend on analog-to-digital converters as an important a part of the advanced chain to entry the actual international. And processors desire the final word functionality of digital-to-analog converters to provide the result of their complicated algorithms.

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This path encircles the number of windings Nw times the current in the coil. B · ds = BLc = μ0 Nw I The integral is unequal to zero only inside the coil, where the vectors align, so the vector notation is omitted and B simply equals the value of the field inside the coil. B= μ0 Nw I Lc The total enclosed flux is the product of the (constant) field B times the area A. 45) with the magnetic permeability in vacuum μ0 = 4π10−7 H/m. 46) 10 In physics an emf is a force that produces a current in a load.

21 Charging a capacitor For time-invariant capacitors only the first term remains. With a sinusoidal voltage v(t) = v0 sin(2πf t) = v0 sin(ωt) the current through is given as i(t) = Cv0 cos(2πf t). In the frequency domain this relation is denoted as: 1 −j v(ω) = = i(ω) j ωC ωC The 90° phase shift of the voltage-to-current relation in the coil is opposite to the phase shift of the voltage-to-current relation of the capacitor. 7 Energy in Capacitors If a capacitor is charged from a voltage source with a step-shaped pulse of amplitude V as in Fig.

This thermal isolation is a major concern for high-power polysilicon resistors that are encapsulated in silicon dioxide and in Silicon-On-Insulator processes. Next to a thermal resistance, every element on a chip will show a thermal capacity, or the ability to store thermal energy. Thermal capacitance and thermal resistance form a thermal time constant, similar to an electrical time constant. In Integrated Circuit manufacturing, this thermal time constant may be as low as several microseconds. This value implies that the temperature variation can follow signals in the audio frequency range.

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