Cool4Kat said:
All I am looking for is a basic explanation of how he made the frequency change. For example, in another thread I saw that they use variable capacitors to change the capacitance of a LC circuit to make FM waves - that makes sense to me. That is the depth I am going for. However, Armstrong used PM and then converted PM to FM. I don't know how he made PM and I don't know how he converted one to the other. I have seen tons of books explaining quantum mechanics for "dummies" why can't I get some help with this? I am not looking for a complete description of everything - just a little better understanding (just as I feel like I could give your hypothetical biologist a better understanding). I will keep on searching and trying and bothering people.
I really did appreciate the help of the person who originally responded to my post. I have found this website to be full of people who are incredibly knowledgeable and generous with their time.
Anyway, at least I learned a new term "boffin" which is cool
Kathy
Hi Kathy
I will try a simple description for you.
I am sure you will realize that phase and frequency modulation are very closely related, and believe me it is trivial to convert one to the other, but AM is rather different.
With AM, we take a carrier wave, say 1000kHz, and we take the audio, say 1kHz. Now we use a circuit which causes the amplitude of the carrier to go up and down in proportion to the instantaneous voltage of the audio. This creates a beat pattern, or modulation envelope, which you will find in many books, Wiki etc.
If we now look at the frequency spectrum of the signal we have created, we find it seems to comprise three waves, of 999, 1000 and 1001 kHz. The centre one is our original carrier, and amazingly it actually remains constant, but two additional side frequencies have popped up. If we measure the amplitude of what we have created using an oscilloscope, it is of course going up and down. But what is happening is that the three waves continuously vary in relative phase, so that at the peak they are all in phase, and at the trough the two side frequencies are in phase with each other but oppose the carrier. So we can imagine a phasor diagram with a fixed arrow illustrating the carrier and two counter rotating arrows representing the side frequencies. These alternately add and subtract.
With PM, we use a circuit which causes the
phase of the carrier to be moved in proportion to the instantaneous voltage of the audio. This does not cause a change in amplitude of the carrier, and if we look at the spectrum it also has three frequencies. But the difference is that the phase of the carrier is such that when the side frequencies coincide in phase, they are at 90 degrees phase to the carrier. So the amplitude does not vary.
To convert from AM to PM, Armstrong took an AM signal and deleted its carrier, leaving two side frequencies. Then he added a new carrier which was shifted in phase by 90 degrees. This synthesised a PM signal, having all the correct properties. The amplitude did not go up and down with the audio and it had two side frequencies.
Now to explain about FM and PM. With FM, the frequency shift of the carrier is proportional to the instantaneous amplitude of the audio. Of course, changing the carrier frequency also implies that the phase is also being altered. And with
PM we find that the
frequency shift of the carrier is proportional to
both the amplitude and frequency of the audio. So if I listen to a PM signal with an FM receiver, the sounds that are higher pitched are louder than those which are lower pitched. This can be corrected with a simple tone-correction circuit, which actually proves an audio slope which is described as 6dB/octave. In other words, the audio gain is reduced in proportion to the frequency of the sound. By using simple tone correction circuits, PM and FM can easily be interchanged.
[Note for experienced readers: For simplicity, I have used the term "carrier" most liberally, but not wishing to upset sensibilities! I have also not mentioned the additional side frequencies which exist with angle modulated systems, because in Armstrong's modulator, the deviation ratio was small, so they were negligible. I have also not mentioned that with angle modulation, the carrier is changed in amplitude, whereas perversely, with AM it is not].