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@REPLYADDR Jim Wilkins <muratlanne@gmail.com>
@REPLYTO 2:5075/128 Jim Wilkins
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"Jim Wilkins"  wrote in message news:uf9120$rc26$1@dont-email.me...

In digital radio the sine is the in-phase real component and the cosine the
imaginary quadrature component of a complex number, imaginary meaning the
dimension where the square root of -1 exists. Complex number math is a
perfect fit for this and allows an equation to contain both without them
interacting unless desired, such as to find the resultant angle. Here`s a
non-mathematical description:
https://www.techtarget.com/searchnetworking/definition/QAM

The same analysis applies to brushless motors where the rotating magnetic
field can be synthesized electronically from battery DC.

------------------------------

A more practical application is calculating true, reactive and apparent 
power, where complex numbers combine everything into one expression.

https://workforce.libretexts.org/Bookshelves/Electronics_Technology/Book%3A_Elec
tric_Circuits_II_-_Alternating_Current_(Kuphaldt)/11%3A_Power_Factor/11.02%3A_Tr
ue%2C_Reactive%2C_and_Apparent_Power

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