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 without doubt one of the such a lot interesting projects 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 answer. In a converter additionally method demanding situations meet expertise possibilities. sleek structures depend on analog-to-digital converters as an important a part of the advanced chain to entry the actual global. And processors desire the final word functionality of digital-to-analog converters to offer the result of their complicated algorithms.

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Poles and zeros in left-side of the s-plane resulting in stable decaying exponential functions in the time domain move to the inner part of the unity circle in the z-domain, Fig. 5 (right). The unilateral z-transform definition is used for causal system. Causal systems react only after the excitation is applied and not before. In the z-domain a delay of mTs corresponds with a multiplication of z−m . The z-transform uses extensively series expansions: n=∞ n=0 (az−1 )n = 1 1 − az−1 The summation is only bounded if the term in brackets is smaller than unity.

10 Coaxial Cable In high-speed integrated circuits (flash analog-to-digital converters) on chip structures are used for transporting signals that bear resemblance to coaxial cables. Therefore as an example of the Maxwell laws the coaxial cable as shown in Fig. 23 is examined. The charge on the inner conductor with diameter d and length l is equal to Q. The electrical field on a distance r from the center line can now be found with Gauss law. A cylindrical surface with radius r and length Lc is chosen for determining the electrical field E.

5 dB) of the magnitude of the third order distortion HD3. 4 Laplace Transform Currents and voltages over resistors and transistors are preferably described with time-invariant models for the components. Coils and capacitors use first order 16 2 Components and Definitions Fig. 1 and gives second and third order distortion. A similar distortion is applied to two sine waves at a f frequency spacing but at half of the amplitude. This will result in IM3 products at f from each carrier derivatives to relate their terminal voltages to the currents.

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