Moving Differentiation

The signal samples of a signal trace can be differentiated over a number of signal samples.

Sample Based

You can differentiate each signal sample over a number of signal samples by calling the method moving_differential().

A new Trace instance labeled with the performed transformation 'differential' is returned.

>>> # differentiate the signal samples over the moving window
>>> Trace('Signal', [1, 2, 3]).moving_differential(2)
Trace(label='Signal:differential',
      samples=[0.0, 1.0, 1.0])

Sampling Time Based

You can differentiate sampling time based each signal sample by dividing the trace generated with the moving_differential() method by the sampling time of the signal samples.

A new Trace instance labeled with the performed transformation 'differential' is returned.

>>> # equidistant sampling time of the signal samples
>>> dt = 0.5
>>> # differentiate sampling time based the signal samples
>>> Trace('Signal', [1, 2, 3]).moving_differential(2) / dt
Trace(label='Signal:differential:div',
      samples=[0.0, 2.0, 2.0])

Sampling Time Based with Unit Adaption

You can differentiate sampling time based each signal sample with unit adaption by dividing the trace generated with the moving_differential() method by the sampling time of the signal samples, and applying a scaling factor to adapt the unit of the signal samples.

A new Trace instance labeled with the performed transformation 'differential' is returned.

>>> # equidistant sampling time of the signal samples
>>> dt = 0.1
>>> # differentiate sampling time based the signal samples with unit adaption
>>> Trace('Signal', [1, 2, 3]).moving_differential(2) / (dt * 3.6)
Trace(label='Signal:differential:div',
      samples=[0.0, 2.7777777777777772, 2.7777777777777772])