1. Integration

1.1. Purpose

Integrate a signal.

1.2. Description

The trapezoidal rule is used to integrate the whole signal:

\[\int_{a}^{b} f(x)\, dx \approx \frac{1}{2} \sum_{k=1}^{N} \left( x_{k+1} - x_{k} \right) \left( f(x_{k+1}) + f(x_{k}) \right)\]

1.3. Input

Any equidistant or non-equidistant signal (see Signal Types ).

1.4. Output

The integrated signal.