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"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

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S<strong>in</strong>e Wave Oscillator Circuits<br />

Phase shift oscillators generally use negative feedback, so <strong>the</strong> positive feedback factor<br />

(β 2) becomes zero. Oscillator circuits such as <strong>the</strong> <strong>Wien</strong> bridge use both negative (β 1) and<br />

positive (β 2) feedback to achieve a constant state of oscillation. This circuit is analyzed<br />

<strong>in</strong> deta<strong>in</strong> <strong>in</strong> Section 15.7.1 us<strong>in</strong>g Equation 15–5.<br />

15.7 S<strong>in</strong>e Wave Oscillator Circuits<br />

<strong>The</strong>re are many types of s<strong>in</strong>e wave oscillator circuits and variations of <strong>the</strong>se circuits —<br />

<strong>the</strong> choice depends upon <strong>the</strong> frequency and <strong>the</strong> desired purity of <strong>the</strong> output waveform.<br />

<strong>The</strong> focus of this section is on <strong>the</strong> more prom<strong>in</strong>ent oscillator circuits: <strong>Wien</strong> bridge, phase<br />

shift, and quadrature. <strong>The</strong> transfer function is derived for each case us<strong>in</strong>g <strong>the</strong> techniques<br />

described <strong>in</strong> Section 15.6 of this chapter and <strong>in</strong> <strong>Chapter</strong>s 3, 5, and 6.<br />

15.7.1 <strong>Wien</strong> Bridge Oscillator<br />

<strong>The</strong> <strong>Wien</strong> bridge is one of <strong>the</strong> simplest and best known oscillators and is used extensively<br />

<strong>in</strong> circuits for audio applications. Figure 15–7 shows <strong>the</strong> basic <strong>Wien</strong> bridge circuit configuration.<br />

This circuit has only a few components and good frequency stability. <strong>The</strong> major<br />

drawback of <strong>the</strong> circuit is that <strong>the</strong> output amplitude is at <strong>the</strong> rails, saturat<strong>in</strong>g <strong>the</strong> op amp<br />

output transistors and caus<strong>in</strong>g high output distortion. Tam<strong>in</strong>g this distortion is more of a<br />

challenge than gett<strong>in</strong>g <strong>the</strong> circuit to oscillate. <strong>The</strong>re are a couple of ways to m<strong>in</strong>imize this<br />

effect, which will be covered later. It is now time to analyze this circuit and come up with<br />

<strong>the</strong> transfer function.<br />

RG<br />

Figure 15–7. <strong>Wien</strong> Bridge Circuit Schematic<br />

C<br />

RF<br />

_<br />

+<br />

VCC<br />

VREF<br />

R<br />

R<br />

C<br />

VOUT<br />

<strong>The</strong> <strong>Wien</strong> bridge circuit is of <strong>the</strong> form that is detailed <strong>in</strong> Section 15.6. <strong>The</strong> transfer function<br />

for <strong>the</strong> circuit is created us<strong>in</strong>g <strong>the</strong> technique described <strong>in</strong> that section. It is readily apparent<br />

that Z 1 = R G, Z 2 = R F, Z 3 = (R 1 + 1/sC 1) and Z 4 = (R 2⎟⎪1/sC 2). <strong>The</strong> loop is broken between<br />

S<strong>in</strong>e Wave Oscillators<br />

15-9

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