3 ms·

That sounds _extremely_ interesting for people who are into control theory! Do you happen to have schematics?

drfuchs 10y ago
I think so; I'll have to look through storage. Drop me a line at {myid} at yahoo.com. Let me point out that the description here is as understood by a pure-digital person: I didn't seem to inherit the analog gene, and as a teen couldn't grok his deeper explanations ("What do you mean 'the imaginary part of the signal'? We're in the real world; the electrons don't have any imaginary components!").
- dragontamer 10y ago
  Imaginary numbers are pretty easy to understand, once you realize they're just a 2x1 matrix, and that all "imaginary numbres" math are equivalent to 2x1 Matrix linear algebra. Roughly speaking, you need 2-degrees of freedom to represent a circuit: the voltage and the current. Instead of throwing "two numbers" around all the time, we create a complex number. We call the two parts of the number "real" and "imaginary", but really... they're roughly lining up with "voltage" and "current". We just call them "real" and "imaginary" because that's what all the math guys call it. A "purely imaginary" number in phasor world is when the current is +/- 90-degrees out of phase with the voltage. (180-degrees out of phase means the current is simply negative, going backwards). A "purely real" number happens at 0-degrees (positive current) or 180-degrees (negative current). "Purely Real" numbers line up exactly to all of the DC-voltage experiments from beginner-level electronics. As it turns out, all circuits are made up of resistors, capacitors, and inductors can be calculated using "simple" addition, subtraction, multiplication and division with complex numbers. ------------- The above is a gross simplification of whats going on. More details can be found here: https://en.wikipedia.org/wiki/Phasor https://en.wikipedia.org/wiki/Phasor

I think so; I'll have to look through storage. Drop me a line at {myid} at yahoo.com. Let me point out that the description here is as understood by a pure-digital person: I didn't seem to inherit the analog gene, and as a teen couldn't grok his deeper explanations ("What do you mean 'the imaginary part of the signal'? We're in the real world; the electrons don't have any imaginary components!").

dragontamer 10y ago
Imaginary numbers are pretty easy to understand, once you realize they're just a 2x1 matrix, and that all "imaginary numbres" math are equivalent to 2x1 Matrix linear algebra. Roughly speaking, you need 2-degrees of freedom to represent a circuit: the voltage and the current. Instead of throwing "two numbers" around all the time, we create a complex number. We call the two parts of the number "real" and "imaginary", but really... they're roughly lining up with "voltage" and "current". We just call them "real" and "imaginary" because that's what all the math guys call it. A "purely imaginary" number in phasor world is when the current is +/- 90-degrees out of phase with the voltage. (180-degrees out of phase means the current is simply negative, going backwards). A "purely real" number happens at 0-degrees (positive current) or 180-degrees (negative current). "Purely Real" numbers line up exactly to all of the DC-voltage experiments from beginner-level electronics. As it turns out, all circuits are made up of resistors, capacitors, and inductors can be calculated using "simple" addition, subtraction, multiplication and division with complex numbers. ------------- The above is a gross simplification of whats going on. More details can be found here: https://en.wikipedia.org/wiki/Phasor https://en.wikipedia.org/wiki/Phasor