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 thephased.PlatformSystem 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 thephased.ScenarioViewerSystem 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.

Objects

`phased.Platform`	Model platform motion
`phased.ScenarioViewer`	Display motion of radars and targets

Blocks

运动平台	Motion platform

Functions

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Range and Doppler Transformations

`dop2speed`	Convert Doppler shift to speed
`speed2dop`	将速度转换为多普勒班次
`radialspeed`	Relative radial speed
`rangeangle`	Range and angle calculation

Local to Global Coordinate Transformations

`global2localcoord`	Convert global to local coordinates
`local2globalcoord`	Convert local to global coordinates

Local Coordinate Operations

`rotx`	Rotation matrix for rotations around x-axis
`roty`	Rotation matrix for rotations around y-axis
`rotz`	Rotation matrix for rotations around z-axis
`Cart2sphvec.`	Convert vector from Cartesian components to spherical representation
`sph2cartvec`	Convert vector from spherical basis components to Cartesian components
`azelaxes`	3×3矩阵形式的球形基载体

Angle Conversion

`uv2azel`	Convert u/v coordinates to azimuth/elevation angles
`azel2uv`	Convert azimuth/elevation angles to u/v coordinates
`phitheta2azel`	Convert angles from phi/theta form to azimuth/elevation form
`Azel2phitheta.`	Convert angles from azimuth-elevation form to phi-theta form
`Uv2phitheta.`	Convert u/v coordinates to phi/theta angles
`phitheta2uv`	Convert phi/theta angles to u/v coordinates