By Dr.-Ing. Ulrich Tietze, Dr.-Ing. Christoph Schenk (auth.)

In the sooner phases of built-in circuit layout, analog circuits consisted easily of kind 741 operational amplifiers, and electronic circuits of 7400-type gates. modern designers needs to choose between a miles greater and swiftly expanding number of designated built-in circuits advertised through a dynamic and inventive undefined. simply by way of a formal choice from this wide selection can a cheap and aggressive answer be chanced on to a given challenge. for every person case the clothier needs to make a decision which elements of a circuit are top applied via analog circuitry, which via traditional electronic circuitry and which sections should be microprocessor managed. for you to facilitate this selection for the clothier who's no longer accustomed to these kind of topics, we have now prepared the booklet on the way to staff the several circuits in response to their box of software. each one bankruptcy is therefore written to face by itself, with not less than cross-references. To let the reader to continue fast from an idea to a operating circuit, we speak about, for a wide number of difficulties, ordinary ideas, the applicability of which has been proved via thorough experimental research. Our thank you are the following as a result of Prof. Dr. D. Seitzer for the supply of fine laboratory amenities. the topic is vast and the cloth provided has needed to be restricted. for that reason, now we have passed over trouble-free circuit layout, in order that the booklet addresses the complex pupil who has a few again flooring in electronics, and the working towards engineer and scientist.

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Within the previous levels of built-in circuit layout, analog circuits consisted easily of kind 741 operational amplifiers, and electronic circuits of 7400-type gates. trendy designers needs to make a choice from a miles greater and swiftly expanding number of unique built-in circuits advertised through a dynamic and artistic undefined.

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**Extra resources for Advanced Electronic Circuits**

**Example text**

30, this equation is already a linear approximation of the cosine function. For the necessary rounding-off of the curve near Uj Fig. 30 Shape of the auxiliary voltage for the generation of the cosine function (broken line) the maximum and minimum, one applies U1 to the input of a sine function network. As is obvious from Fig. 31, the simple addition of a summing amplifier is all that is needed for a conversion of a sine function network to a cosine function network. 2 R Uj ~ 1 Fig. 31 Generation of a cosine function by means of a sine function network.

46 Multiplier used as divider. 9 Transformation of coordinates 47 Fig. 47 Multiplier used as square-rooter. A multiplier can be employed as a square-rooter if operated as a squarer and inserted in the feedback loop of an operational amplifier, as shown in Fig. 47. The output voltage finds a level such that U2 -t=~, hence Uo=VEUi • Correct operation is ensured only for positive input and output voltages. g. at switching on. In such a case, the squarer causes a phase ·inversion in the feedback loop so that a positive feedback arises, and the output voltage becomes more negative until it reaches the negative level of output saturation.

Simultaneous generation of the sine and cosine function for arguments -1t;;;; x;;;; 1t With the networks described so far, sine and cosine functions can be generated over a half-period. In cases where the range of argument has to be a full period or more, one initially generates triangular functions as a linear approximation, and uses the described circuits to round off the peaks. The shape of the required triangular voltages is represented in Fig. 32. 1. 7 Function networks 31 y -T( Ui x=1( - - Vi -1 UI/Ui max max Fig.