CMP – Comparator with hysteresis

Block SymbolLicensing group: STANDARD

Function Description
The CMP block compares the inputs u1 and u2 with the hysteresis h as follows:

\begin{array}{rcl} Y_{- 1} & = & 0, \\ Y_{k} & = & h y s t (e_{k}), k = 0, 1, 2, \dots \end{array}

where

\begin{array}{rcl} e_{k} = u 1_{k} - u 2_{k} \end{array}

and

\begin{array}{rcl} h y s t (e_{k}) = \{\begin{matrix} 0 & for & e_{k} \leq - h \\ Y_{k - 1} & for & e_{k} \in (- h, h) \\ 1 & for & e_{k} \geq h (e_{k} > h for h = 0) \end{matrix} \end{array}

The indexed variables refer to the values of the corresponding signal in the cycle defined by the index, i.e. $Y_{k - 1}$ denotes the value of output in the previous cycle/step. The value $Y_{- 1}$ is used only once when the block is initialized ( $k = 0$ ) and the difference of the input signals $e_{k}$ is within the hysteresis limits.

This block propagates the signal quality. More information can be found in the 1.4 section.

Input

u1	First analog input of the block	Double (F64)
u2	Second analog input of the block	Double (F64)

Parameter

hys	Hysteresis $↓$ 0.0 $⊙$ 0.5	Double (F64)

Output

Y	Logical output of the block	Bool

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