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# DLR

Discrete transfer function

### Block Screenshot

### Description

This block realizes a SISO linear system represented by its rational transfer function (in the symbolic variable z). The rational function must be proper.

### Parameters

**Numerator (z)**This parameter sets the numerator of the transfer function.

This must be a polynomial in

**z**.Properties : Type 'pol' of size 1.

In the provided expression, any subexpression being an exponent given either by a variable (of the context) whose name is more than 1-character long, or by an expression (not a literal integer) must end with a space to be correctly displayed on the block's icon. This constrain has no consequence on the computational validity of the expression. Examples: "z^12+1", "z^ +12+1", "z^+ 12+1" are all displayed as "z^{12}+1", while "1+z^ab+z^2" will be displayed as "1+z^{ab+z^2}" (but will be well computed as`1 + z^ab + z^2`

). To make it well displayed, "1+z^ab +z^2" will have to be entered (for instance). As well, "z^(ab+1) + 2" will have to be entered, instead of "z^(ab+1)+2".**Denominator (z)**This parameter sets the denominator of the transfer function.

This must be a polynomial in

**z**.Properties : Type 'pol' of size 1.

Take care about multichar exponents (see

`Numerator`

).

### Default properties

**always active:**no**direct-feedthrough:**no**zero-crossing:**no**mode:**no**regular inputs:****- port 1 : size [1,1] / type 1****regular outputs:****- port 1 : size [1,1] / type 1****number/sizes of activation inputs:**1**number/sizes of activation outputs:**0**continuous-time state:**no**discrete-time state:**yes**object discrete-time state:**no**name of computational function:***dsslti4*

### Interfacing function

SCI/modules/scicos_blocks/macros/Linear/DLR.sci

### Computational function

SCI/modules/scicos_blocks/src/c/dsslti4.c (Type 4)

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