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Generating Analog Voltage with Digital Circuit (I)

Analogue Voltage with Digital Circuits

We will detail the method of generating an analog voltage using digital circuit (the well known R/2R resistor network). This method requires having a number of microcontroller pins available to be used for this specific task only. It is a very cheap method, as it only requires a few resistors of two different values only. The circuit shown in Figure 1 depicts an 8-bit DAC built around the available pins of the microcontroller using 2kOhm and 1kOhm resistors. To simplify the Bill of Materials, you could also use only 1kOhm resistors, by using two of them in series instead of each 2kOhm resistor.

 

 

Figure 1 – 8-bit DAC with resistor network

The advantage of this circuit, besides its very low cost, is the simple logic needed to operate it. The 8 pins of the microcontroller used have the exact functions of the 8 bits of a DAC, with the leftmost pin being the LSB and the rightmost pin being the MSB. The digital code applied by the microcontroller at its pins represents the exact value needed by a legitimate DAC to generate the required voltage:

0000.0000…………..0.000V

0000.0001…………..0.019V

1000.0000…………..2.481V

1111.1111…………..4.981V

Using this particular configuration it is easy to increase/decrease the number of bits of your DAC, by simply using more or less pins of the microcontroller and more/less R/2R branches.
The following images illustrate the simulated output value for some of the digital codes that might be applied:

 

 

 

 

Figure 2 – 8-bit DAC with 1111.1111 digital code applied

 

 

 

Figure 3 – 8-bit DAC with 0111.1111 digital code applied

 

 

 

 

Figure 4 – 8-bit DAC with 0000.0001 digital code applied

 

 

It must be noted though, that any desire to use the generated voltage for real application would prompt the need of buffering it through a high impedance buffer. The reason for this is that any additional load applied to the output of this DAC would disturb the intended behavior of the R/2R network, thus introducing errors. A simple voltage repeater may be used as a buffer, but special care should be taken in order to use a rail-to-rail operational amplifier. Using a regular operational amplifier would simply introduce errors towards the two extremes of the scale, as the amplifier itself will not be capable of repeating its input voltage that is being generated by this very simple DAC.

 

Although simple and cheap, this DAC can be use as any other conventional one. Applying successive codes at its input with a fixed repetition rate, would allow us to generate basically any type of analogue signal, its frequency only being limited by the sample rate at which the used microcontroller can output digital codes.

 

Of course, as in any design activities, the result is not perfect, as it is only a trade-off between advantages and disadvantages:

a) Although cheap and easy to use, this structure has disadvantages too: the finer the resolution, the more microcontroller pins are needed.

b) Also the resistors in the network should be carefully selected (1% tolerance is preferred; using 5% tolerance resistors might introduce unacceptable errors).

c) The higher the resolution of such a DAC the slower it gets, because of the large RC constant of each added RC link.

Read the Italian version: Generare una tensione analogica con un circuito digitale (I)

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