Units for a vector magnitude in the s-plane

  • #1
Joseph M. Zias
67
27
In the S plane we have a real component, usually called sigma, and the imaginary component, jw, in radians/sec. The real component is sometimes called nepers per second, with nepers being dimensionless. However, if we draw a vector in the s-plane, say s - s1, in polar form, what are the units of the magnitude of that vector.
I have read one suggestion that both axis are frequencies with unit sec^-1. If we forget about the axis names we could end up with a magnitude of sec^-1. Then when going back to the component form assign so much to the nepers and so much to the radians. That seems a bit odd so I ask opinions. What is the unit of the magnitude of a vector in the S-plane?
 

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