# sinr

Display or compute signal-to-interference-plus-noise (SINR) ratio

## Description

example

sinr(txs) displays the signal-to-interference-plus-noise ratio (SINR) for transmitter sites txs in the current Site Viewer. The map contours are generated using SINR values computed for receiver site locations on the map. For each location, the signal source is the transmitter site in TXS with the greatest signal strength. The remaining transmitter sites in txs with the same transmitter frequency act as sources of interference. If txs is scalar or there are no sources of interference the resultant map displays signal-to-noise ratio (SNR).

This function only supports plotting for antenna sites with a CoordinateSystem property value of 'geographic'.

sinr(txs,propmodel) displays the SINR map with the propagation model set to the value in propmodel.

sinr(___,Name,Value) sets properties using one or more name-value pairs, in addition to the input arguments in previous syntaxes. For example, sinr(txs,'MaxRange',8000) sets the range from the site location at 8000 meters to include in the SINR map region.

pd = sinr(txs,___) returns computed SINR data in the propagation data object, pd. No plot is displayed and any graphical only name-value pairs are ignored.

r = sinr(rxs,txs,___) returns the sinr in dB computed at the receiver sites due to the transmitter sites.

## Examples

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Define names and location of sites in Boston.

names = ["Fenway Park","Faneuil Hall","Bunker Hill Monument"];
lats = [42.3467,42.3598,42.3763];
lons = [-71.0972,-71.0545,-71.0611];

Create a transmitter site array.

txs = txsite('Name', names,...
'Latitude',lats,...
'Longitude',lons, ...
'TransmitterFrequency',2.5e9);

Display the SINR map, where signal source for each location is selected as the transmitter site with the strongest signal.

sinr(txs)

## Input Arguments

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Transmitter site, specified as a txsite object. Use array inputs to specify multiple sites.

This function only supports plotting antenna sites when CoordinateSystem property is set to 'geographic'.

Receiver site, specified as a rxsite object. Use array inputs to specify multiple sites.

This function only supports plotting antenna sites when CoordinateSystem property is set to 'geographic'.

Propagation model, specified as a character vector, a string, or a propagation model created with the propagationModel function. The default value depends on the coordinate system used by the input sites.

Coordinate SystemDefault propagation model value
'geographic'
• 'longley-rice' when you use a terrain.

• 'freespace' when you do not use a terrain.

'cartesian'
• 'freespace' when Map is set to none.

• 'raytracing' when Map is set to the name of an STL file or a triangulation object. The default ray tracing model uses the shooting and bouncing rays (SBR) method.

You can also specify the propagation model by using the 'PropagationModel' name-value pair argument.

### Name-Value Arguments

Specify optional comma-separated pairs of Name,Value arguments. Name is the argument name and Value is the corresponding value. Name must appear inside quotes. You can specify several name and value pair arguments in any order as Name1,Value1,...,NameN,ValueN.

Example: 'MaxRange',8000
General

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Signal source of interest, specified as the comma-separated pair consisting of SignalSource and 'strongest' or as a transmitter site object. When the signal source of interest is 'strongest', the transmitter with the greatest signal strength is chosen as the signal source of interest for that location. When computing sinr, SignalSource can be a txsite array with equal number of elements rxs where each transmitter site element defines the signal source for the corresponding receiver site.

Propagation model to use for the path loss calculations, specified as the comma-separated pair consisting of 'PropagationModel' and one of the following:

• 'freespace' — Free space propagation model

• 'rain' — Rain propagation model

• 'gas' — Gas propagation model

• 'fog' — Fog propagation model

• 'close-in' — Close-in propagation model

• 'longley-rice' — Longley-Rice propagation model

• 'tirem' — Tirem propagation model

• 'raytracing' — Ray tracing propagation model that uses the shooting and bouncing rays (SBR) method

• A propagation model created with the propagationModel function

The default propagation model is 'longley-rice' when terrain is enabled and 'freespace' when terrain is disabled.

Terrain propagation models, including 'longley-rice' and 'tirem', are only supported for sites with a CoordinateSystem value of 'geographic'.

Data Types: char

Total noise power at receiver, specified as the comma-separated pair consisting of 'ReceiverNoisePower' and a scalar in dBm. The default value assumes that the receiver bandwidth is 1 MHz and receiver noise figure is 7 dB.

$N=-174+10*\mathrm{log}\left(B\right)+F$

where,

• N = Receiver noise in dBm

• B = Receiver bandwidth in Hz

• F = Noise figure in dB

Mobile receiver gain, specified as the comma-separated pair consisting of 'ReceiverGain' and a scalar in dB. The receiver gain values include the antenna gain and the system loss. If you call the function using an output argument, the default value is computed using rxs.

Receiver antenna height above the ground, specified as the comma-separated pair consisting of 'ReceiverAntennaHeight' and a scalar in meters. If you call the function using an output argument, the default value is computed using rxs.

Map for visualization or surface data, specified as a siteviewer object, a triangulation object, a string scalar, or a character vector. Valid and default values depend on the coordinate system.

Coordinate SystemValid map valuesDefault map value
'geographic'
• A siteviewer object[a].

• A terrain name, if the function is called with an output argument. Valid terrain names are 'none', 'gmted2010', or the name of the custom terrain data added using addCustomTerrain.

• The current siteviewer object or a new siteviewer object if none are open.

• 'gmted2010', if the function is called with an output.

'cartesian'
• 'none'.

• A siteviewer object.

• The name of an STL file.

• A triangulation object.

• 'none'.

[a] Alignment of boundaries and region labels are a presentation of the feature provided by the data vendors and do not imply endorsement by MathWorks®.

Data Types: char | string

For Plotting SINR

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Values of SINR for display, specified as the comma-separated pair consisting of 'Values' and a numeric vector. Each value is displayed as a different colored, filled on the contour map. The contour colors are derived using Colormap and ColorLimits.

Maximum range of coverage map from each transmitter site, specified as a positive numeric scalar in meters representing great circle distance. MaxRange defines the region of interest on the map to plot. The default value is automatically computed based on the type of propagation model.

Type of Propagation ModelMaxRange
Atmospheric or empirical30 km
Terrain30 km or distance to the furthest building.
Ray tracing500 m

Data Types: double

Resolution of receiver site locations used to compute SINR values, specified as the comma-separated pair consisting of 'Resolution' and 'auto' or a numeric scalar in meters. The resolution defines the maximum distance between the locations. If the resolution is 'auto', sinr computes a value scaled to MaxRange. Decreasing the resolution increases the quality of the SINR map and the time required to create it.

Colormap for coloring filled contours, specified as the comma-separated pair consisting of 'ColorMap' and an M-by-3 array of RGB triplets, where M is the number of individual colors.

Color limits for color maps, specified as the comma-separated pair consisting of 'ColorLimits' and a two-element vector of the form [min max]. The color limits indicate the SINR values that map to the first and last colors in the colormap.

Show signal strength color legend on map, specified as the comma-separated pair consisting of 'ShowLegend' and 'true' or 'false'.

Transparency of SINR map, specified as the comma-separated pair consisting of 'Transparency' and a numeric scalar in the range 0–1. If the value is zero, the map is completely transparent. If the value is one, the map is completely opaque.

## Output Arguments

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Signal to interference plus noise ratio at the receiver due to the transmitter sites, returned as a numeric vector. The vector length is equal to the number of receiver sites.

Data Types: double

SINR data, returned as a propagationData object consisting of Latitude and Longitude, and a signal strength variable corresponding to the plot type. Name of the propagationData is "SINR Data".

## Compatibility Considerations

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Behavior changed in R2021b