Motion Modeling and Coordinate Systems
The Phased Array System Toolbox™ lets you model the motion of radars, sonars, targets,
jammers, or interference sources using the
System object™. This System object provides constant velocity and constant acceleration
motion models. These motion models can generate almost any type of
trajectory. You can display a 3-D visualization of a radar scenario
System object. The toolbox contains several utility functions that let
you transform between coordinates systems, transform between angular
coordinates, and convert between velocity and Doppler shift.
|Motion Platform||Motion platform|
Range and Doppler Transformations
Local to Global Coordinate Transformations
Local Coordinate Operations
|Rotation matrix for rotations around x-axis|
|Rotation matrix for rotations around y-axis|
|Rotation matrix for rotations around z-axis|
|Convert vector from Cartesian components to spherical representation|
|Convert vector from spherical basis components to Cartesian components|
|Spherical basis vectors in 3-by-3 matrix form|
|Convert u/v coordinates to azimuth/elevation angles|
|Convert azimuth/elevation angles to u/v coordinates|
|Convert angles from phi/theta form to azimuth/elevation form|
|Convert angles from azimuth-elevation form to phi-theta form|
|Convert u/v coordinates to phi/theta angles|
|Convert phi/theta angles to u/v coordinates|
- Doppler Shift and Pulse-Doppler Processing
Compute target motion using Doppler processing.
- Motion Modeling in Phased Array Systems
A critical component in phased array system applications is the ability to model motion in space.
- Model Motion of Circling Airplane
Start with an airplane moving at 150 kmph in a circle of radius 10 km and descending at the same time at a rate of 20 m/sec.
- Global and Local Coordinate Systems
Learn about the local and global coordinate systems used in the toolbox.
- Global and Local Coordinate Systems Radar Example
This example shows how several different coordinate systems come into play when modeling a typical radar scenario.
- Rectangular Coordinates
Construct a rectangular, or Cartesian, coordinate system for three-dimensional space by specifying three mutually orthogonal coordinate axes.
- Spherical Coordinates
Spherical coordinates describe a vector or point in space with a distance and two angles.
- Standards and Conventions
This section introduces the concept of baseband signals and defines the local and global coordinate systems used in the toolbox.
- Units of Measure and Physical Constants
Phased Array System Toolbox uses the International System of Units (SI).