1
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2
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- Block diagram of feedback amplifier
- Forward gain, A
- Feedback, B
- Summing junction, ∑
- Useful for oscillators
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3
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- Op-amps
- Inverting & non-inverting
- Negative feedback 180°out of phase w/input
- High input impedance
- Low output impedance
- Wide bandwidth
- Stable operation
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4
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- Oscillators
- Positive feedback
- In-phase with input
- Unstable
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5
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6
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7
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- Square wave generator
- Composed of
- Schmitt trigger comparator
- Positive feedback
- RC circuit to determine period
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8
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- Schmitt Trigger
- R1 and R2 form a voltage divider
- Portion of output applied at + input
- Hysteresis: output dependent on input and previous value of input
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9
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- Schmitt Trigger
- Hysteresis: upper and lower trip points
- Can use a voltage follower for adjustable trip points
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10
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11
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- Schmitt Trigger Relaxation Oscillator
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12
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- R1 and R2 voltage divider
- Capacitor charges through RF
- VC < +VSAT then C charges toward +VSAT
- VC > –VSAT then C charges toward –VSAT
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13
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- Schmitt Trigger Relaxation Oscillator Equations
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14
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- For a sinusoidal oscillator output
- Closed loop gain ≥ 1
- Phase shift between input and output = 0° at frequency of oscillation
- With these conditions a circuit
- Oscillates with no external input
- Positive feedback = regenerative feedback
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15
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- Regenerative oscillator
- Initial input is small noise voltage
- Builds to steady state oscillation
- Wien Bridge oscillator
- Positive feedback, RC network branch
- Resistor branch establish amplifier gain
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16
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17
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18
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- Another form of Wien Bridge
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19
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- For a closed-loop gain, AB = 1
- Improved circuit
- Separate RF into 1 variable and 1 fixed resistor
- Variable: minimize distortion
- Zener Diodes: limit range of output voltage
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20
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- Three-section R-C network
- ≈ 60° per section
- Negative FB = 180°
- 180° + (60° + 60° + 60°) = 360° = Positive FB
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21
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22
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- LC circuits can produce oscillations
- Used for
- Test and measurement circuits
- RF circuits
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23
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- Named after pioneer engineers
- Colpitts
- Hartley
- Clapp
- Armstrong
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24
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- Colpitts oscillator
- fs = series resonance
- fp = parallel resonance
- L-C network → 180° phase shift at fp
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25
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26
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27
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- Hartley oscillator
- Similar to Colpitts
- L and C’s interchanged
- Also have fs and fp
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28
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29
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- Quartz crystals
- Mechanical device
- Higher frequencies (>1 MHz)
- Stability
- Accuracy
- Reliability
- Piezoelectric effect
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30
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- Electrical model
- Both have parallel and series
resonance
- Symbol
- Quartz crystal
- metal plates
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31
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- Impedance varies with frequency
- Square wave crystal oscillator circuit
- Choose C1 and C2
- Oscillation frequency between fs and fp
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32
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33
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- Usage
- Monostable timing
- Astable mode = relaxation oscillator
- Trigger voltage
- Control voltage
- Threshold voltage
- R-S flip-flop
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34
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35
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- Monostable Circuit (one-shot)
- Trigger high → vout = low
- Trigger low → vout = high
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36
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