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I don't quite have a good understanding of what exactly the neper frequency is. I've seen it derived it from certain circuits before and it was never really clear what it was. In a series RLC circuit it was simple enough to find since we were given a nice second order differential from which to take to the S domain and solve for with a quadratic formula and then pull out the neper frequency from :

-α +-√α

α-neper frequency

ω

In a filter such as (see attachment) how would one derive the neper frequency since it does not fall so neatly into a second order polynomial. I get

s

which doesnt fall so neatly into the quadratic formula nor has a term in the first order. Am i to assume this filter has no neper frequency? Or a Q factor?

Thanks for your time

-α +-√α

^{2}-ω_{o}^{2}α-neper frequency

ω

_{o}- resonant radian frequencyIn a filter such as (see attachment) how would one derive the neper frequency since it does not fall so neatly into a second order polynomial. I get

s

^{2}-[1/(L_{1}(C_{1}+C_{2})]which doesnt fall so neatly into the quadratic formula nor has a term in the first order. Am i to assume this filter has no neper frequency? Or a Q factor?

Thanks for your time