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Download Analog and Hybrid Computing by D. E. Hyndman, N. Hiller PDF

By D. E. Hyndman, N. Hiller

Analog and Hybrid Computing considers the elemental features and principled of analog and hybrid desktops and their functions in quite a few medical investigations. This e-book consists of 8 chapters, and starts with a short presentation of the background of computing units utilizing a generalized stream diagram of computation, illustrating the elemental transformations among analog and electronic pcs. the next chapters care for the idea and the operation of the elemental devices present in digital analog desktops, the tools of scaling difficulties for the pc, and the association and operation of laptop. those issues are through discussions at the options of time-varying and non-linear differential equations and the simulation of move capabilities, that's a huge element of analog computation. The concluding bankruptcy describes the various extra in smooth desktops. those chapters relatively spotlight the gains and benefits of hybrid computing. This publication is of price to computing device engineers, scientists, and researchers, in addition to complicated laptop engineering scholars.

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Extra resources for Analog and Hybrid Computing

Example text

For the loop of amplifiers 1, 2 and 3, the gain is K X M X M M'xMxMxM X M _ ^_ M' 60 ANALOG AND HYBRID COMPUTING which is the coefficient of x in equation (3-7) and therefore correct. For the loop of amplifiers 1,2 and 4, the gain is £. *M *M = £. 7) and also correct. The two methods of scaling should give computer flow diagrams with identical gains at the inputs of all the amplifiers. If this is so, it should be possible to show that the amplifier gains in Fig. 7 are the same as those in Fig. 8.

D . 9) The coefficients of this equation are the gains for the inputs to amplifier 1 of Fig. 7. 2 ^77 ' FIG. 7. Computer flow diagram scaled using scale factors with dimensional units. 12) the gain of the first integrator, amplifier 2, in Fig. 14) the gain of the second integrator, amplifier 3, is aXt0/aXfi. The effect of scaling is to distribute the gains in the loops so that all amplifiers will be operating over their full voltage range, but the total gain in the loop should of course be the appropriate coefficient in the original system equation.

The important thing to remember in the choice of time scale factor is to select problem solution frequencies so that computer errors are minimized. When the independent variable of the problem is not time, the scale factor is chosen to give a convenient solution time on the computer, bearing in mind the frequencies that will be generated. The choice of time scale factor is dictated by a number of considerations. 1. The gain-bandwidth product of the computing elements. It is important that frequencies generated in the problem solution are such that errors are not introduced by limitations in the specifications of the computing components.

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