DT1-Element

The signal samples of a signal trace can be processed with the transfer function of a time-discrete DT1-element over a number of signal samples or with a damping factor, and a proportional gain.

Sample Based Damping

You can differentiate and damp the signal samples with a DT1-element by calling the method dt1(), and define the time constant \(\tau\) of the DT1-element by the number of signal samples.

A new Trace instance labeled with the performed transformation 'dt1' is returned.

>>> # differentiate and damp the signal samples sample based [.., 1:impulse, ..]
>>> Trace('Signal', [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]).dt1(ratio=2, gain=1)
Trace(label='Signal:dt1',
      samples=[0.0, 1.0, 0.5, 0.25, 0.125, 0.0625, 0.03125,
               0.015625, 0.0078125, 0.00390625, 0.001953125])
>>> Trace('Signal', [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]).dt1(2)
Trace(label='Signal:dt1',
      samples=[0.0, 1.0, 0.5, 0.25, 0.125, 0.0625, 0.03125,
               0.015625, 0.0078125, 0.00390625, 0.001953125])

(Source code, html)

Factor Based Damping

You can differentiate and damp the signal samples with a DT1-element by calling the method dt1(), and define the inverted time constant \(\frac{1}{\tau}\) of the DT1-element with a damping factor between 0.0 and 1.0.

A new Trace instance labeled with the performed transformation 'dt1' is returned.

>>> # differentiate and damp signal samples factor based [0.0:transparent..1.0:impulse]
>>> Trace('Signal', [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]).dt1(ratio=0.5, gain=1)
Trace(label='Signal:dt1',
      samples=[0.0, 1.0, 0.5, 0.25, 0.125, 0.0625, 0.03125,
               0.015625, 0.0078125, 0.00390625, 0.001953125])
>>> Trace('Signal', [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]).dt1(0.5)
Trace(label='Signal:dt1',
      samples=[0.0, 1.0, 0.5, 0.25, 0.125, 0.0625, 0.03125,
               0.015625, 0.0078125, 0.00390625, 0.001953125])

(Source code, html)