# txlineDelayLossy

## Description

Use the `txlineDelayLossy`

object to create a delay lossy
transmission line. You can also use the `txlineDelayLossy`

object to model a
delay lossy transmission line in an RF system using the `rfbudget`

object or the
RF Budget
Analyzer app.

## Creation

### Description

creates a
default delay lossy transmission line object.`dlytxline`

= txlineDelayLossy

sets Properties of the delay lossy
transmission line using one or more name-value arguments. For example,
`dlytxline`

= txlineDelayLossy(Name,Value)`dlytxline = txlineDelayLossy('Z0',75)`

creates a delay lossy
transmission line with an impedance of `75`

ohms.

## Properties

## Object Functions

`sparameters` | Calculate S-parameters for RF data, network, circuit, and matching network objects |

`groupdelay` | Group delay of S-parameter object or RF filter object or RF Toolbox circuit object |

`noisefigure` | Calculate noise figure of transmission lines, series RLC, and shunt RLC circuits |

## Examples

## Algorithms

The delay lossy transmission line object calculates the S-parameters for the specified frequencies. This calculation is based on the delay line's line length, resistance, and time delay. The S-parameters are calculated using the equation given.

$$\begin{array}{l}{\text{S}}_{\text{11}}\text{=0}\\ {\text{S}}_{\text{12}}{\text{=e}}^{-p}\\ {\text{S}}_{\text{21}}{\text{=e}}^{-p}\\ {\text{S}}_{\text{22}}\text{=0}\end{array}$$

Here, $${\text{p=\alpha}}_{\text{a}}\text{+(i}\times \text{\beta )}$$. `ɑ`

in _{a}*p* is the
attenuation coefficient and `β`

is the wave number.

The attenuation coefficient, `ɑ`

, is related to
the loss, _{a}`ɑ`

, by

$${\text{\alpha}}_{\text{a}}\text{=}\frac{\text{(linelength}\times \text{resistance)}}{\text{(2Z)}}$$

and the wave number `β`

is related to the time delay,
`D`

, by

$$\text{\beta =2}\times \text{\pi}\times \text{f}\times \text{D}$$

where `f`

is the frequency range specified in the S-parameters input
argument.

## Version History

**Introduced in R2021a**