# Transfer-function frequency response
# Scope: Single-pole low-pass frequency response at one frequency.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

gain = 2
timeConstant = 0.1 s
frequency = 1 Hz

magnitude := gain/sqrt(1+(2*pi*frequency*timeConstant)^2)
decibels := 20*log10(magnitude)
phase := -atan(2*pi*frequency*timeConstant) [deg]

check gain target at test frequency: magnitude >= 1

scenario alternative: gain = 1.6