Time Discrete Differentiator (Dz)¶

The discrete time differentiator is derived from the analog implementation by difference expression.

Strong distortions (poles and alias frequencies) can occur in the range of the sample frequency and above. Therefore, in sampled data systems the sample period must be sufficient short and the harmonic distortion produced by aliasing must be eliminated by a low pass filter before the sampling process.

Functions

Difference expression:

State equation:

Transfer function:

Step response

Magnitude and phase response

Polar plot