Zero Order Hold (ZOH)¶

The hold element creates from a series of discrete time values u(kT) a stair-like time continuous output signal by holding the current value until a new value is applied. This procedure corresponds to a hold element of 0-th order (zero order hold).

With the hold element one can also create continuous step functions from continuous input signals as the hold element also performs an inherent sampling at its input.

In the frequency domain however, a frequency dependent weighting of the signal occurs and the dynamic systems behavior is only valid in combination with a sampling element.

Functions

Time response

Magnitude and phase response