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These are the Lecture Notes of Analog Electronics which includes Ohm's Law, Kirchoff's Laws, Electrical Circuit, Sum of Circuit, Resistors in Series, Resistors in Parallel, Combined Resistance, Voltage Divider, Voltage and Current Sources etc. Key important points are: Comparator Circuits, Simple Comparator, Comparator Model, Schmitt Trigger, Operation of Comparator, Noise Immunity, Relaxation Oscillator, Negative Feedback, Analysis of Voltage Divider
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A comparator can b e thought of as a fast, high-gain op-amp which is not used with negative feedback. This basic idea is shown in Fig. 38. The comparator has large op en-lo op gain A. The function of a comparator is to decide which of the two inputs has larger voltage. We have in the limit of very large A
vout = A(v+ v ) =
+Vmax v+ > v jVmin j v+ < v
where Vmax and Vmin are aprroximately the p ower supply voltages. Therefore, the comparator converts an analog input signal into an output with two p ossible states. Hence, this can b e thought of as a 1-bit analog to digital converter (A/D or ADC). The comparator circuit do es not use negative feedback, and so purp osefully violates Golden Rule 1. In fact, as we shall see b elow, comparator circuits often employ positive feedback to ensure that nothing intermediate b etween the two extreme output states is utilized. Finally, without negative feedback, there is no need to do comp ensation Thus there is more gain at high frequency, meaning faster resp onse. Also, the ampli er can b e optimized for sp eed at the exp ense of linearity. Comparators, like op-amps, are readily available as integrated circuit chips, such as the mo del 311 (LM311 or LF311) which we have in lab. Table 9.3 (pages 584-5) of the text lists some of the p ossibilities on the market.
v out
A
R
Figure 38: Comparator mo del.
We have shown explicitly in Fig. 38 the output stage consisting of a transistor with collector connected to the comparator output. This is the open col lector output, and is typical. It is used in the 311 comparators we use in lab. We are obliged to complete the circuit by providing a \pull-up" resistor R. The transistor emitter is also available as an external connection. It should b e connected to whatever is the lower of the two output voltage states we require. This is chosen to b e ground in the gure. The high-gain di erential ampli er of the comparator has output connected to the base of this transistor. When that
is low it will, after passing through an inverter, turn the transistor on. In this case, current sill pass through R and to the emitter connection. This current pro duces a voltage drop across R which pulls the output voltage (very close) to the emitter voltage (ground in our example). Typically R 1 k. When the comparator inputs are in the complementary inequality, the transistor is switched o and the output voltage go es to the voltage held by R, which is +5 V in our example. Using outputs of 0 and +5 V are typical, since these voltages corresp ond (roughly) to the TTL convention of digital electronics.
A typical circuit using a comparator is shown in Fig. 39. The output go es to one of its two p ossible states dep ending up on whether the input v is greater than or less than the \threshold" determined by v+. Positive feedback is used to help reinforce the chosen output state. In this con guration, called the Schmitt trigger, two thresholds can b e set, dep ending up on which state the output is in. The way this works is illustrated in Fig. 40. Vh and Vl refer to threshold voltages which are set up at the comparator + input by the resistor divider chain. As long as R 3 R 4 , the output states will still b e determined by the pull-up resistor R 4. For the circuit in the gure, these states are 0 and +5 V. The resistor divider, then sets V+ at di erent values, dep ending up on which state the ouput is in. Whether the connection to +V 1 and R 1 is required or not dep ends up on whether a p ositive threshold is required when Vout = 0.
v out
R
v in -
R 1 +
R 2
R 3
4
+V 1
Figure 39: Schmitt trigger.
Referring to Fig. 40, we start with Vin = V < V+. The output is in the +5 V state. In this case the threshold pro duced by the voltage divider, Vh , is the larger value due to the contribution of Vout. When the input crosses the threshold, the output changes to the other state, 0 V. The divider then gives a lower threshold Vl. Having two thresholds provides comparator stability and noise immunity. Any noise which is << (Vh Vl ) will not a ect the op eration of the comparator.
v out
80K
20K
100K
10nF
1K
Figure 41: RC relaxation oscillator.
Vin Vout
100K
10nF
Figure 42: RC circuit with Vin from the comparator output and Vout going to the com- parator input of previous gure.