a—The conventional way to calculate the magnitude (length) of a vector is to take the square root of the sum of the squares of its components. On small processors, this can be somewhat difficult (especially the square root operation), and various approximations are used instead.
One approximation that works surprisingly well for 2-D
vectors and complex numbers is to take the absolute values of the two
components, compare them, then add 1/3 of the smaller to the larger.
What is the maximum error using this method?
b—But doesn’t a true hybrid use transformers, or at least some tricky transformer simulation with op amps to ensure the transmitted signal does not appear on the receive port?