PT1-Element

The signal samples of a signal trace can be processed with the transfer function of a time-discrete PT1-element over a number of signal samples or with a smoothing factor, and a proportional gain.

Sample Based Smoothing

You can smooth the signal samples with a PT1-element by calling the method pt1(), and define the time constant \(\tau\) of the PT1-element by the number of signal samples.

A new Trace instance labeled with the performed transformation 'pt1' is returned.

>>> # smooth the signal samples sample based [.., 1:transparent, ..]
>>> Trace('Signal', [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]).pt1(ratio=2, gain=1)
Trace(label='Signal:pt1',
      samples=[0.0, 0.5, 0.75, 0.875, 0.9375, 0.96875, 0.984375,
               0.9921875, 0.99609375, 0.998046875, 0.9990234375])
>>> Trace('Signal', [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]).pt1(2)
Trace(label='Signal:pt1',
      samples=[0.0, 0.5, 0.75, 0.875, 0.9375, 0.96875, 0.984375,
               0.9921875, 0.99609375, 0.998046875, 0.9990234375])

(Source code, html)

Factor Based Smoothing

You can smooth the signal samples with a PT1-element by calling the method pt1(), and define the inverted time constant \(\frac{1}{\tau}\) of the PT1-element with a smoothing factor between 0.0 and 1.0.

A new Trace instance labeled with the performed transformation 'pt1' is returned.

>>> # smooth the signal samples factor based [0.0:freeze..1.0:transparent]
>>> Trace('Signal', [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]).pt1(ratio=0.5, gain=1)
Trace(label='Signal:pt1',
      samples=[0.0, 0.5, 0.75, 0.875, 0.9375, 0.96875, 0.984375,
               0.9921875, 0.99609375, 0.998046875, 0.9990234375])
>>> Trace('Signal', [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]).pt1(0.5)
Trace(label='Signal:pt1',
      samples=[0.0, 0.5, 0.75, 0.875, 0.9375, 0.96875, 0.984375,
               0.9921875, 0.99609375, 0.998046875, 0.9990234375])

(Source code, html)