When building AVR DDS2 signal generator, there were lots of discussions about signal conditioning in the analog part of the device. The first argument was that LM358 wasn’t the best choice for this purpose. Another one pointed to the sine wave that wasn’t smooth enough.
As you can see, there are some dents on it. Other waveforms also are distorted especially when higher voltages are selected. This asks for a better analog part. Some people suggested to replace LM358 with OPA2134, but it seems to be quite an expensive choice. In my opinion low noise, general purpose op-amp can be great too. I’m going to give a try to Texas Instruments TL074 low noise op-amp. It is low power, high slew rate (13V/us) IC – almost five times faster than LM358 and for the same reasonable price.
If we look at the DDS2 signal generator offset and gain control circuit, we can see that there is a problem in it. We regulate offset before amplitude control – usually offset should be adjusted after amplifying the signal. And the third problem is that offset can be regulated in the small interval – in 5V range while we could do this in -12V … +12V range. Let us redesign analog part so it would give a better result.
Zeroing offset voltage
First of all, offset control we can slightly modify the first stage so that offset voltage of signal would be set to 0. For instance, if we are generating sine-wave on DAC, we get maximum 2.5V amplitude signal with 2.5V DC offset. Instead of using POT1 we can calculate resistor divider so that on the output we get 0V offset. We assume that all signals coming out of microcontroller have offset 2.5V (when VCC=5V), then we can model the following circuit:
Calculating is easy:
We know that source voltage is Vs=2.5V. The output voltage is Vo=0V. We need a gain of 1 (-1 for inverting amp). So at inverting op – amp input we get voltage:
From from operational amp analysis we know that V- = V+ and currents to both inputs are equal to zero (I- = I+ = 0A). Then We must get 1.25V at V3. so we need to select voltage divider to scale voltage from 5V to 1.25. To do so we chose one fixed resistor value R3 to be 100kOhms, and then we calculate R4:
We can get 33.33kΩ by connecting two resistors in series: 33kΩ + 330Ω that will give resulting voltage close enough to 0V.
Optional filter stage
In the next step of the analog part, we are going to add a filter. Since DDS signal generator is capable of outputting various types of signals, we don’t want it to be hardwired. For instance, if we generate a sine wave, then we could use a filter to make it more smooth while on a square wave it would have a negative effect by rounding the shape. For this, we can add a bypass switch that would allow to insert or bypass filter on demand. What filter are we going to use for this purpose? Since we have plenty of op-amps on TL074, we can make an active filter.
I find Butterworth (Sallen – Key) low pass filter quite handy since it gives the flattest response in the band. Let’s select parameters for this filter. DDS generator in our case isn’t going to exceed 100kHz frequency. Also, we want attenuation in this up to roll – off frequency near 0dB. So let us increase roll-off frequency up to 200kHz. This value we are going to use while calculating.
Resistor and capacitor values of filter can be determined with these simple rules:
R1 = R2, C1 = 2·C2
If we select R2 = R1 = 33k (have plenty of these)
then we can calculate C2 as follows:
so standard value of C1 = 33pF.
You can check calculations online here.
Signal amplitude gain control
After we have adjusted signal offset voltage filtered it (or not) the next part is to adjust amplitude. We need to adjust signal amplitude from 0 to 12V. For this purpose, we are going to use an inverting amplifier with an adjustable potentiometer gain. We need to calculate proper resistor values to get excellent gain control over all potentiometer turn. Say we are going to use a 47k potentiometer. Let us calculate the input resistor value.
Another known condition is that the input voltage from the previous stage is 2.5V. Say we want to get 12V amplitude on the output we need gain: 12/2.5 = 4.8. If we turn potentiometer to the max left we get:
R1=47k/4.8=9.79k~10k. To get 0V amplitude, we need to turn potentiometer to the right, so gain ration gets close to 0.
Signal offset regulation
And the last stage of the analog part is signal offset regulation. We want to regulate offset in the range of -12V to 12V. The easiest way to do so is to add an offset voltage to signal voltage.
Since we already have two inverting cascades, we don’t want the last one to be inverted that would lead to an inverted signal on the output. So we are going to implement non-inverting summing:
Let us see how to calculate resistor values. R6 and R7 we select to be 100k resistors as they aren’t critical while in recommended range 1k to 1M. The more interesting part is the gain. Let us see how non-inverting summing amplifier output voltage looks like:
What we see here is a voltage added and multiplied by the gain. Since our R7 and R8 are equal to 100k, we get that only half of these voltages are added. So we need to adjust amplifier gain to 2 to operate with full values. So we need:
After solving we get that both resistors have to be equal. To keep resistor values less scattered we also chose those to be 100k.
Putting it all together
Now we have all blocks ready and can connect them into a single circuit:
Here we have linked all four modeled parts: offset adjust, low pass filter, amplitude control, ofset control. TL074 chip comes with four operational amplifiers built in so we will get away with a single chip and this functionality. If you are interested in simulating here is LTspiece simulation file. In the simulator, TL074 was replaced with a similar TL1359 op amp, so actual results shouldn’t differ much.
And corresponding signals on various nodes:
As you can see on the first stage, we have a sine signal with small distortion added and its offset is 2.5V. After offset adjusts signal still is distorted, but it crosses 0V now. After filtering, we see no more distortion – only smooth sine. Then next stage adjusts signal voltage gain, and on output, we get signal with selected offset somewhere at -5V. Results look promising, so the next step will be to put everything into a working project. Comments and suggestions are welcome.