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Motion Modeling and Coordinate Systems

Perform array and target trajectory modeling, coordinate transformations, and compute Doppler shift

The Phased Array System Toolbox™ lets you model the motion of radars, sonars, targets, jammers, or interference sources using the phased.Platform 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 using the phased.ScenarioViewer 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.


phased.PlatformModel platform motion
phased.ScenarioViewerDisplay motion of radars and targets


Motion PlatformMotion platform


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dop2speedConvert Doppler shift to speed
speed2dopConvert speed to Doppler shift
radialspeedRelative radial speed
rangeangleRange and angle calculation
global2localcoordConvert global to local coordinates
local2globalcoordConvert local to global coordinates
rotxRotation matrix for rotations around x-axis
rotyRotation matrix for rotations around y-axis
rotzRotation matrix for rotations around z-axis
cart2sphvecConvert vector from Cartesian components to spherical representation
sph2cartvecConvert vector from spherical basis components to Cartesian components
azelaxesSpherical basis vectors in 3-by-3 matrix form
uv2azelConvert u/v coordinates to azimuth/elevation angles
azel2uvConvert azimuth/elevation angles to u/v coordinates
phitheta2azelConvert angles from phi/theta form to azimuth/elevation form
azel2phithetaConvert angles from azimuth-elevation form to phi-theta form
uv2phithetaConvert u/v coordinates to phi/theta angles
phitheta2uvConvert phi/theta angles to u/v coordinates


Motion Modeling

Coordinate Systems