Generating a linear fade in of length T for a signal happens by multiplying the signal with function f(t) = k*t, t ∈ [0, T] f(t) = 0, t < 0 f(t) = 1, t > T where k is the inverse of the length of the fade in (k = 1/T) and at the starting point of the fade in t = 0. Logarithmic fade in/out...