By Marcel Pelgrom
This textbook is suitable to be used in graduate-level curricula in analog-to-digital conversion, in addition to for training engineers wanting a cutting-edge reference on information converters. It discusses numerous analog-to-digital conversion rules, together with sampling, quantization, reference iteration, nyquist architectures and sigma-delta modulation. This booklet provides an summary of the state-of-the-art during this box and makes a speciality of problems with optimizing accuracy and velocity, whereas decreasing the facility level.
This new, 3rd variation emphasizes novel calibration techniques, the categorical specifications of latest structures, the results of 22-nm know-how and the necessity for a extra statistical method of accuracy. Pedagogical improvements to this variation comprise extra, new routines, solved examples to introduce all key, new ideas and warnings, feedback and tricks, from a practitioner's point of view, at any place applicable. substantial history details and functional counsel, from designing a PCB, to lay-out elements, to trade-offs on procedure point, supplement the dialogue of uncomplicated rules, making this publication a worthwhile reference for the skilled engineer.
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Example text
C 500 mVpeak peak D 0:675 mApeak peak . , 1 mA can be used. 5 A. 2 mW. 14. A signal is sampled on two parallel connected equal capacitors: C1 ; C2 and C2 D C1 . After sampling the capacitors are stacked in order to double the signal voltage, see Fig. 24. Does the signal-to-noise ratio change between the parallel and stacked connection? Solution. After sampling a voltage V is stored on each capacitor. C1 C C2 / is added and the signal-to-noise ratio is determined by the rms value of the signal over the noise.
Will be modulated by the n-th harmonic of Eq. 21, resulting is an amplitude contribution at the position of the original signal with a relative strength of 1=n2 . 9. A 135 MHz sine wave is sampled in a 150 Ms/s sampling system. Which frequency components will be in the sampled data spectrum? Is it possible to discriminate the result of this sampling process from sampling a 15 MHz sine wave? Solution. nfs C fi /; : : : where n D 0; 1; 2; : : : :1. In this case the second term delivers a 15 MHz component.
In a higher sense the Nyquist criterion is still valid: the total amount of relevant bandwidth (Landau bandwidth) is still less than half of the effective sample rate. Compressive sensing or compressive sampling [22] multiplies the signal with a high-rate random sequence, which is easier to implement in the analog domain than sampling. The relevant signals are again spread out over a large bandwidth. After bandwidth-limiting, a reconstruction (“L1” minimization) is possible if the random sequence is known and the domain in which the signal is monitored, is sparse.