1. Differentiation 1.1. Purpose Differentiate a signal. 1.2. Description The signal \(f(x)\) is sampled at a an equally spaced sequence of points \(x_k\), \(k=0,1,…N\). The derivative of \(f\) is approximated as \[f’(x_k) \approx \frac{f(x_{k+1})-f(x_k)}{\Delta x},\] where \(\Delta x\) is the distance between the points \(x_k\). 1.3. Input Any equidistant signal (see Signal Types ). 1.4. Output The differentiated signal.