Lot's to get through I'm afraid. I've added plots and schematics to try to illustrate.
Let's start with a simple comparison of the Floating Paraphase with common cathode resistor (FP) and Floating Paraphase without common cathode resistor (P) Bode Plot. I left off phase to make it clearer. I also set the source impedance to zero to simplify things.
The thing of note here is that there is only a 0.2dB difference between the P and the FP. This is contrary to the suggestion that the FP behaves differently from the P due to the 'differential amplifier' effect. I'll come back to this. Also note that there is a 1dB difference in gain between the A and B (i.e inverting and non inverting) sides.
Next, we can fix the gain imbalance:
I changed the value of the input resistor of the second stage to correct for gain imbalance by changing it from 1Meg to 886K. Something to try on the next one you come across but consider the effect of other component tolerances as they may be 5% or even 10% resistors which will unbalance the whole thing pretty darn quickly. Sorry about the blurry screen capture. I was trying to save myself some time and also I wanted to combine the schematics and plots into a single image.
It's time to widen the X axis frequency out to 1Mhz:
Now you can see the extra HF roll off on the 'B' output that has been mentioned. It's 45Khz so you'll be starting to get see about 5 degrees of phase shift at 4.5Khz. Not a lot, but a good case has been made that this might color the sound. You will get, I think, increasing even harmonic distortion with frequency although I'm having a hard time to see how to approach this bit analytically.
Not to worry, we can fix that HF roll off:
I just fixed the P side so you can see the difference. A teeny 2.7pF cap fixed it. Now that's kinda scary. Before you rush off and modify your amps think about stray capacitance. Just running the grid wire next the the plate wire could easily give that much coupling. Layout could be significant here.
Lastly, why in blazes do the FP and P versions behave almost identically? To be sure the differential effect is real, even with a small 470 ohm resistor. But why doesn't it have any effect in the FP case? The answer lies in the magic feedback network around the second stage. As has been pointed out, the second stage is bit like a common grid stage with a low input impedance to the cathode. The feedback network lowers the input impedance so the first stage (with a much higher output impedance) now has very little effect on the second stage. The plot shows that input impedance is only about 5 ohms.
I don't know what value there might be in experimenting the gain and frequency balancing but to be sure, there's some flexibility there. Of course you can do the same kind of thing to a fully differential PI too...
Let's start with a simple comparison of the Floating Paraphase with common cathode resistor (FP) and Floating Paraphase without common cathode resistor (P) Bode Plot. I left off phase to make it clearer. I also set the source impedance to zero to simplify things.
The thing of note here is that there is only a 0.2dB difference between the P and the FP. This is contrary to the suggestion that the FP behaves differently from the P due to the 'differential amplifier' effect. I'll come back to this. Also note that there is a 1dB difference in gain between the A and B (i.e inverting and non inverting) sides.
Next, we can fix the gain imbalance:
I changed the value of the input resistor of the second stage to correct for gain imbalance by changing it from 1Meg to 886K. Something to try on the next one you come across but consider the effect of other component tolerances as they may be 5% or even 10% resistors which will unbalance the whole thing pretty darn quickly. Sorry about the blurry screen capture. I was trying to save myself some time and also I wanted to combine the schematics and plots into a single image.
It's time to widen the X axis frequency out to 1Mhz:
Now you can see the extra HF roll off on the 'B' output that has been mentioned. It's 45Khz so you'll be starting to get see about 5 degrees of phase shift at 4.5Khz. Not a lot, but a good case has been made that this might color the sound. You will get, I think, increasing even harmonic distortion with frequency although I'm having a hard time to see how to approach this bit analytically.
Not to worry, we can fix that HF roll off:
I just fixed the P side so you can see the difference. A teeny 2.7pF cap fixed it. Now that's kinda scary. Before you rush off and modify your amps think about stray capacitance. Just running the grid wire next the the plate wire could easily give that much coupling. Layout could be significant here.
Lastly, why in blazes do the FP and P versions behave almost identically? To be sure the differential effect is real, even with a small 470 ohm resistor. But why doesn't it have any effect in the FP case? The answer lies in the magic feedback network around the second stage. As has been pointed out, the second stage is bit like a common grid stage with a low input impedance to the cathode. The feedback network lowers the input impedance so the first stage (with a much higher output impedance) now has very little effect on the second stage. The plot shows that input impedance is only about 5 ohms.
I don't know what value there might be in experimenting the gain and frequency balancing but to be sure, there's some flexibility there. Of course you can do the same kind of thing to a fully differential PI too...
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