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>> John Chowning refined the concept, moved from frequency to phase modulation, and brought FM into the digital realm. > ?? Chowning's paper doesn't mention ph
by jdontillman 6y ago
>> John Chowning refined the concept, moved from frequency to phase modulation, and brought FM into the digital realm.
> ?? Chowning's paper doesn't mention phase modulation at all, does it? His equation is for frequency modulation.
>
>https://web.eecs.umich.edu/~fessler/course/100/misc/chowning https://web.eecs.umich.edu/~fessler/course/100/misc/chowning...
>
> I would presume that the relationships between phase and frequency modulation were known a half-century before Chowning.
Chowning says his equation is for frequency modulation, but the equation is actually phase modulation.
Chowning's equation(1):
e = A sin(𝛼t + I sinβt)
That's phase modulation. Frequency modulation would be:
e = A sin((𝛼 + I sinβt) t)
Very different.
That's okay; it's the first academic paper on the topic, and things were still a little wobbly.
After the paper, he and others refined the concept, moved from frequency to phase modulation, and built digital implementations.
- SeanLuke 6y agoAh yes, that's right. The I sin Beta t is I sin(beta t), not I sin(Beta) t.