It’s well-established that 0 decibans means 1:1 odds or 50% confidence; that 10 decibans means 10:1 odds; that −10 decibans means 1:10 odds; and that fractional numbers of decibans have similar meaning.
Does it make sense to talk about “i decibans”, or “10 + 20i decibans”? If so, what does that actually mean?
I’m currently roughing out what may eventually become a formal specification for a protocol. It includes a numerical field for a level of confidence, measured in decibans. I’d like to know if I should simply define the spec as only allowing real numbers, or if there could be some purpose in allowing for complex numbers, as well.
Are imaginary and complex numbers of decibans meaningful?
It’s well-established that 0 decibans means 1:1 odds or 50% confidence; that 10 decibans means 10:1 odds; that −10 decibans means 1:10 odds; and that fractional numbers of decibans have similar meaning.
Does it make sense to talk about “i decibans”, or “10 + 20i decibans”? If so, what does that actually mean?
I’m currently roughing out what may eventually become a formal specification for a protocol. It includes a numerical field for a level of confidence, measured in decibans. I’d like to know if I should simply define the spec as only allowing real numbers, or if there could be some purpose in allowing for complex numbers, as well.