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# STEP_FUNCTION

Step Function

### Block Screenshot

### Contents

### Palette

### Description

In its simpler use this block output a step signal between two definable levels **Initial Value** and **Final Value**
starting at a specified time **Step Time**.

The step function is defined by the following equation:

where * t* is the

_{0}

**Start Time**,

*the*

`s`_{0}

**Initial Value**and

*the*

`s`_{f}

**Final Value**.

You can also specify vector or matrice values, for the parameters **Initial Value** and **Final Value**. The parameters are expanded to column vectors. and in this case, you obtain multiples output that start at the same **Step Time**.

The table below shows different combinations

Initial value size |
Final value size |
Output size |
Condition |

### Data types

Output: scalar or column vector of double data type. The size is determined by the parameters

**Initial Value**and**Final Value**

### Dialog box

**Step Time**The time, in seconds, when the output jumps from the

**Initial Value**parameter to the**Final value**parameter.Properties : Type 'vec' of size 1.

**Initial Value**The block output

`i`

is equal to the`i`

^{th}**Initial Value**until the simulation time reaches the**Step Time**parameter.Properties : Type 'vec' of size -1.

**Final Value**The block output

`i`

jump to`i`

^{th}**Final Value**when the simulation time reaches the**Step Time**parameter.Properties : Type 'vec' of size -1.

### Default properties

**always active:**no**direct-feedthrough:**no**zero-crossing:**no**mode:**no**regular outputs:****- port 1 : size [-1,1] / type 1****number/sizes of activation inputs:**0**number/sizes of activation outputs:**0**continuous-time state:**no**discrete-time state:**no**object discrete-time state:**no**name of computational function:***csuper*

### Example 1

This diagram shows the use of the STEP_FUNCTION block to obtain the response to a step signal of a first order's system defined by a transfer function. Open this example in Xcos.

### Example 2

This diagram shows the use of STEP_FUNCTION to obtain four step signals Open this example in Xcos.

### Interfacing function

### See also

- RAMP — Ramp
- CURV_f — Curve
- Sigbuilder — Signal creator/generator

### Authors

**Ramine Nikoukhah** - INRIA

## Comments

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