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Understanding the Foster-Seeley Discriminator

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Dukov Ahzrukhal:

ferdieCX:
Hi, I recommend you to read:

Christopher Tibbs, FM Demodulation: Theory of the Discriminator - Wireless World, May 1943
S. Seeley y J. Avins, The Ratio Detector – RCA Review, June 1947
K. R. Sturley, The Ratio Detector: How it works - Wireless World, November 1955

You will find these  articles in  www.americanradiohistory.com

Dukov Ahzrukhal:
I read the article about the Foster-Seeley discriminator and found it quite interesting. It says that the values for the coupling capacitor and the inductor are unimportant, however in my simulation those values are critical. I set those values as if the coupling capacitor and the inductor were a series LC circuit tuned to the center frequency of the discriminator, and then tweaked the coupling capacitor to compensate for loading on the circuit and the capacitance of the diodes. That works just fine, but I suspect that it is not how the circuit normally works. From what I read in the article it seems like the coupling capacitor is just there to block DC, and the phase delay is done by the tuned transformer. From my simulation I don't really see why the transformer has to be tuned, but if I include leakage inductance then the tuning of the transformer becomes important as well. Should I be relying only on the transformer for phase delay and using large values for the coupling capacitor and the inductor? If so, I will need to learn more about tuned transformers and how to design them.

ferdieCX:
It is a property of a double tuned transformer, that "at the resonance frequency" there will be a 90º phase shift between primary and secondary windings.
The text in the attached document is in Spanish, but you can just look at the analysis:

Eq (25) and (26) result to be the general expressions of v1 and v2 at any frequency inside the bandwidth
At the resonance frequency, X = (w - wr)/wr is 0  ==>   eq (25) and (26) take the form written below the eq (27)
The j in the expression of v2 implies the 90º phase shift

Here is a very good article in English  https://worldradiohistory.com/UK/Experimental-Wireless/40s/Wireless-Engineer-1944-02-S-OCR.pdf

Dukov Ahzrukhal:
Good thing Spanish is my native language, I can read that document without a problem. I read the articles about the ratio detector too, and from those papers it seems like the ratio detector also uses a double tuned transformer to get 90 degree phase shift. I spent many hours today essentially trying to reinvent the double tuned transformer but I couldn't figure it out. I can understand why the such a transformer can introduce a phase shift, but I could not figure out how to actually design the transformer. I changed my LTSPICE simulation of the Foster-Seeley discriminator so that the phase shift is done by the transformer and not the coupling capacitor. This seems to work well, but since I could not figure out how to design the transformer I had to guess and check for the inductance values. I'll attach my new  file here.