Represent sensor configuration for tracking
The trackingSensorConfiguration
object creates the configuration
for a sensor used with a trackerPHD
System object™. It allows you to specify the sensor parameters such as clutter density, sensor
limits, sensor resolution. You can also specify how a tracker perceives the detections from
the sensor using properties such as FilterInitializationFcn
,
SensorTransformFcn
, and SensorTransformParameters
.
See Create a Tracking Sensor Configuration for more details. The
trackingSensorConfiguration
object enables the tracker to perform three
main routine operations:
Evaluate the probability of detection at points in state-space.
Initiate components in the probability hypothesis density.
Obtain the clutter density of the sensor.
creates a config
= trackingSensorConfiguration(SensorIndex
)trackingSensorConfiguration
object with a specified sensor
index, SensorIndex
, and default property values.
allows you to set properties using one or more name-value pairs.config
= trackingSensorConfiguration(SensorIndex
,Name,Value
)
SensorIndex
— Unique sensor identifierUnique sensor identifier, specified as a positive integer. This property
distinguishes detections that come from different sensors in a multi-sensor system. When
creating a trackingSensorConfiguration
object, you must specify the
SensorIndex
as the first input argument in the creation
syntax.
Example: 2
Data Types: double
IsValidTime
— Indicate detection reporting statusfalse
(default) | true
Indicate the detection reporting status of the sensor, specified as
false
or true
. Set this property to
true
when the sensor must report detections within its sensor
limits to the tracker. If a track or target was supposed to be detected by a sensor but
the sensor reported no detections, then this information is used to count against the
probability of existence of the track when the isValidTime
property
is set to true
.
Data Types: logical
FilterInitializationFcn
— Filter initialization function@initcvggiwphd
(default) | function handle | character vectorFilter initialization function, specified as a function handle or as a character
vector containing the name of a valid filter initialization function. The function
initializes the PHD filter used by trackerPHD
.
The function must support the following syntaxes:
filter = filterInitializationFcn() filter = filterInitializationFcn(detections)
filter
is a valid PHD filter with components for new-born targets, and
detections
is a cell array of objectDetection
objects. The first syntax allows you to specify the
predictive birth density in the PHD filter without using detections. The second syntax
allows the filter to initialize the adaptive birth density using detection information.
See the BirthRate property of
trackerPHD
for more details. If you create your own
FilterInitilizationFcn
, you must also provide a transform
function using the SensorTransformFcn
property. Other than the
default filter initialization function initcvggiwphd
, Sensor Fusion and Tracking Toolbox™ also provides other initialization functions, such as initctrectgmphd
, initctgmphd
, initcvgmphd
, initcagmphd
, initctggiwphd
and initcaggiwphd
.
Data Types: function_handle
| char
SensorTransformFcn
— Sensor transform function@cvmeas
| function handle | character vectorSensor transform function, specified as a function handle or as a character vector containing the name of a valid sensor transform function. The function transforms a track's state into the sensor's detection state. For example, the function transforms the track's state in the scenario Cartesian frame to the sensor's spherical frame. You can create your own sensor transform function, but it must support the following syntax:
detStates = SensorTransformFcn(trackStates,params)
params
are the parameters stored in the SensorTransformParameters
property. Notice that the signature of the function is similar to a measurement
function. Therefore, you can use a measurement function (such as cvmeas
, ctmeas
, or cameas
) as the SensorTransformFcn
.
Depending on the filter type and the target type, the output,
detStates
, needs to return differently.
When used with gmphd
for non-extended targets or
with ggiwphd
,
detStates
is a N-by-M
matrix, where N is the number of rows in the
SensorLimits
property and M is the number
of input states in trackStates
. For gmphd
,
non-extended targets refer to point targets and extended targets whose
MeasurementOrigin
is 'center'
.
When used with gmphd
for extended targets, the
SensorTransformFcn
allows you to specify multiple
detStates
per trackState
. In this case,
detStates
is a
N-by-M-by-S matrix,
where S is the number of detectable sources on the extended
target. For example, if the target is described by a rectangular state, the
detectable sources can be the corners of the rectangle.
If any of the source falls inside the SensorLimits
, the
target is declared detectable. The functions uses the spread (maximum coordinate −
minimum coordinate) of each detStates
and the ratio between the
spread and sensor resolution on each sensor limit to calculate the expected number
of detections from each extended target. You can override this default setting by
providing an optional output in the SensorTransformFcn
as:
[..., Nexp] = SensorTransformFcn(trackStates, params)
Nexp
is the expected number of detections from each extended
track state.
Note that the default SensorTransformFcn
is the sensor
transform function of the filter returned by
FilterInitilizationFcn
. For example, the
initicvggiwphd
function returns the default
cvmeas
, whereas initictggiwphd
and
initicaggiwphd
functions return ctmeas
and
cameas
, respectively.
Data Types: function_handle
| char
SensorTransformParameters
— Parameters for sensor transform functionParameters for the sensor transform function, returned as a structure or an array of structures. If you only need to transform the state once, specify it as a structure. If you need to transform the state n times, specify it as an n-by-1 array of structures. For example, to transform a state from the scenario frame to the sensor frame, you usually need to first transform the state from the scenario rectangular frame to the platform rectangular frame, and then transform the state from the platform rectangular frame to the sensor spherical frame. The fields of the structure are:
Field | Description |
Frame | Child coordinate frame type, specified as
|
OriginPosition | Child frame origin position expressed in the Parent frame, specified as a 3-by-1 vector. |
OriginVelocity | Child frame origin velocity expressed in the parent frame, specified as a 3-by-1 vector. |
Orientation | Relative orientation between frames, specified as a 3-by-3 rotation
matrix. If the |
IsParentToChild | Flag to indicate the direction of rotation between parent and child
frame, specified as |
HasAzimuth | Indicates whether outputs contain azimuth components, specified as
|
HasElevation | Indicates whether outputs contain elevation components, specified as
|
HasRange | Indicates whether outputs contain range components, specified as
|
HasVelocity | Indicates whether outputs contains velocity components, specified as
|
Note that here the scenario frame is the parent frame of the platform frame, and the platform frame is the parent frame of the sensor frame.
The default values for SensorTransformParameters
are a 2-by-1
array of structures as:
Fields | Struct 1 | Struct 2 |
Frame | 'Spherical' | 'Rectangular' |
OriginPosition | [0;0;0] | [0;0;0] |
OriginVelocity | [0;0;0] | [0;0;0] |
Orientation | eye(3) | eye(3) |
IsParentToChild | false | false |
HasAzimuth | true | true |
HasElevation | true | true |
HasRange | true | true |
HasVelocity | false | true |
In this table, Struct 2 accounts for the transformation from the scenario
rectangular frame to the platform rectangular frame, and Struct 1 accounts for the
transformation from the platform rectangular frame to the sensor spherical frame, given
the isParentToChild
property is set to
false
.
Data Types: struct
SensorLimits
— Sensor's detection limitsSensor's detection limits, specified as an N-by-2 matrix, where N is the output dimension of the sensor transform function. The matrix must describe the lower and upper detection limits of the sensor in the same order as the outputs of the sensor transform function.
If you use cvmeas
, cameas
, or ctmeas
as the sensor transform function,
then you need to provide the sensor limits in order as:
The description of these limits and their default values are given
in the following table. Note that the default values for
SensorLimits
are a 3-by-2 matrix including the top six elements
in the table. Moreover, if you use these three functions, you can specify the matrix to
be in other sizes (1-by-2, 2-by-2, or 3-by-4), but you have to specify these limits in
the sequence shown in the SensorLimits matrix.
Limits | Description | Default values |
minAz | Minimum detectable azimuth in degrees. | -10 |
maxAz | Maximum detectable azimuth in degrees. | 10 |
minEl | Minimum detectable elevation in degrees. | -2.5 |
maxEl | Maximum detectable elevation in degrees. | 2.5 |
minRng | Minimum detectable range in meters. | 0 |
maxRng | Maximum detectable range in meters. | 1000 |
minRr | Minimum detectable range rate in meters per second. | N/A |
maxRr | Maximum detectable range rate in meters per second. | N/A |
Data Types: double
SensorResolution
— Resolution of sensor[4;2;10]
(default) | N-element positive-valued vectorResolution of a sensor, specified as a N-element positive-valued
vector, where N is the number of parameters specified in the
SensorLimits
property. If you want to assign only one resolution
cell for a parameter, simply specify its resolution as the difference between the
maximum limit and the minimum limit of the parameter.
Data Types: double
MaxNumDetsPerObject
— Maximum number of detections per objectInf
(default) | positive integerMaximum number of detections the sensor can report per object, specified as a positive integer.
Example: 3
Data Types: double
ClutterDensity
— Expected number of false alarms per unit volume1e-3
(default) | positive scalarExpected number of false alarms per unit volume from the sensor, specified as a positive scalar.
Example: 2e-3
Data Types: double
MinDetectionProbability
— Probability of detecting track estimated to be outside of sensor limits0.05
(default) | positive scalarProbability of detecting a target estimated to be outside of the sensor limits,
specified as a positive scalar. This property allows a trackerPHD
object to consider that the estimated target, which is outside the sensor limits, may be
detectable.
Example: 0.03
Data Types: double
Consider a radar with the following sensor limits and sensor resolution.
azLimits = [-10 10]; elLimits = [-2.5 2.5]; rangeLimits = [0 500]; rangeRateLimits = [-50 50]; sensorLimits = [azLimits;elLimits;rangeLimits;rangeRateLimits]; sensorResolution = [5 2 10 3];
Specifying the sensor transform function that transforms the Cartesian coordinates [x;y;vx;vy] in the scenario frame to the spherical coordinates [az;el;range;rr] in the sensor's frame. You can use the measurement function cvmeas
as the sensor transform function.
transformFcn = @cvmeas;
To specify the parameters required for cvmeas
, use the SensorTransformParameters
property. Here, you assume the sensor is mounted at the center of the platform and the platform located at [100;30;20] is moving with a velocity of [-5;4;2] units per second in the scenario frame.
The first structure defines the sensor's location, velocity, and orientation in the platform frame.
params(1) = struct('Frame','Spherical','OriginPosition',[0;0;0],... 'OriginVelocity',[0;0;0],'Orientation',eye(3),'HasRange',true,... 'HasVelocity',true);
The second structure defines the platform's location, velocity, and orientation in the scenario frame.
params(2) = struct('Frame','Rectangular','OriginPosition',[100;30;20],... 'OriginVelocity',[-5;4;2],'Orientation',eye(3),'HasRange',true,... 'HasVelocity',true);
Create the configuration.
config = trackingSensorConfiguration('SensorIndex',3,'SensorLimits',sensorLimits,... 'SensorResolution',sensorResolution,... 'SensorTransformParameters',params,... 'SensorTransformFcn',@cvmeas,... 'FilterInitializationFcn',@initcvggiwphd)
config = trackingSensorConfiguration with properties: SensorIndex: 3 IsValidTime: 0 SensorLimits: [4x2 double] SensorResolution: [4x1 double] SensorTransformFcn: @cvmeas SensorTransformParameters: [1x2 struct] FilterInitializationFcn: @initcvggiwphd MaxNumDetsPerObject: Inf ClutterDensity: 1.0000e-03 DetectionProbability: 0.9000 MinDetectionProbability: 0.0500
To create the configuration for a sensor, you first need to specify the sensor transform function, which is usually given as:
where x denotes the tracking state,
Y denotes detection states, and p denotes the
required parameters. For object tracking applications, you mainly focus on obtaining an
object's tracking state. For example, a radar sensor can measure an object's azimuth,
elevation, range, and possibly range-rate. Using a trackingSensorConfiguration
object, you
can specify a radar's transform function using the SensorTransformFcn
property and specify the radar's mounting location, orientation, and velocity using
corresponding fields in the SensorTransformParameters
property. If the
object is moving at a constant velocity, constant acceleration, or constant turning, you can
use the built-in measurement function – cvmeas
, cameas
, or ctmeas
, respectively – as the SensorTransformFcn
. To set
up the exact outputs of these three functions, specify the hasAzimuth
,
hasElevation
, hasRange
, and
hasVelocity
fields as true
or
false
in the SensorTransformParameters
property.
To set up the configuration of a sensor, you also need to specify the sensor's detection
ability. Primarily, you need to specify the sensor's detection limits. For all the outputs
of the sensor transform function, you need to provide the detection limits in the same order
of these outputs using the SensorLimits
property. For example, for a
radar sensor, you might need to provide its azimuth, elevation, range, and range-rate
limits. You can also specify the radar's SensorResolution
and
MaxNumDetsPerObject
properties if you want to consider extended
object detection. You might also want to specify other properties, such as
ClutterDensity
, IsValidTime
, and
MinDetectionProbability
to further clarify the sensor's detection
ability.
cameas
| ctmeas
| cvmeas
| ggiwphd
| trackerPHD
You have a modified version of this example. Do you want to open this example with your edits?