Analog Electronics: Circuits, Systems and Signal Processing by David Crecraft, Stephen Gergely

By David Crecraft, Stephen Gergely

The content material has been rigorously designed to satisfy the necessities of first and moment 12 months scholars of digital engineering, communications engineering and telecommunications, following complete honours measure courses or two-year classes together with HNC/HND.

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C. c. equivalent circuit. c. values of the 'small' input signal, v and /. c. quantities are set aside and are not represented in this version of the characteristic. c. 8(c). The circuit can now be analysed using straightforward Hnear techniques. It is very tempting to use this simple Unear small signal equivalent of an essentially nonlinear device in a wide range of circumstances and not just the original ones used in its derivation. However, the temptation to 'conveniently' ignore the origins of the model, and hence its limitations, is one to be indulged in at one's peril.

3. 21(a), RL respectively. 36) is reproduced as VC _ Vout V _ Vin 1 1 +jcoC7? 36a) iresults in VC Vout 1 1 V Vin 1 +jcoC7? 55) COo Note that the frequency ratios are the same but it is more convenient in practice to use frequency (in Hz) rather than angular frequency (in rad/sec). 56) for the two low-pass filter transfer functions are the same when expressed in terms of the cut-off frequency. A plot of the magnitude | ^ | and the phase of the gain against frequency is a useful way of representing the behaviour of this transfer function.

9 was used to explain the origin of the sine function. 12 to illustrate the development of a very useful representation of the function which is used extensively in electrical and electronic engineering. v^=\/pSin(^ ^^ \/=\/pSin(l)^ Fig. 12 Sinusoidally alternating voltage: (a) time waveform; (b) phasor representation. 9) represents Fpsincj). 2, in a continuously changing sine v^ave (|) changes continuously by 27rrad/sec cycle, or f X 2K rad/sec. In this representation, this corresponds to the continuous rotation of the hypotenuse.

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