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Signal Discontinuity [naive]

Naive solution to solve the frequency discontinuity between two concatenated signals.

1. Logistic function

Logistic function results in a sigmoidal curve, represented by equation in functions of t: $$ \large f(t)=\frac{L}{1+e^{-k(t - t_0)}} $$


The sigmoid curve will be used as a parameter for a linear interpolation. This process is given by:

$$ \large y=(1 - s)x_o + s x_i $$

where s is the sigmoid transition and $\large x_o, x_i$ are the two signal to have the transition.