motion modeling and coordinate systems -凯发k8网页登录

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 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 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.

objects

	model platform motion
	display motion of radars and targets

blocks

motion platform

functions

range and doppler transformations

	convert doppler shift to speed
	convert speed to doppler shift
	relative radial speed
	range and angle calculation

local to global coordinate transformations

	convert global to local coordinates
	convert local to global coordinates

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

angle conversion

	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

topics

motion modeling

compute target motion using doppler processing.
a critical component in phased array system applications is the ability to model motion in space.
start with an airplane moving along a circular track with a radius of 10 km at a horizontal speed of 100 m/s and descending at a rate of 1 m/sec.

coordinate systems

learn about the local and global coordinate systems used in the toolbox.
this example shows how several different coordinate systems come into play when modeling a typical radar scenario.
construct a rectangular, or cartesian, coordinate system for three-dimensional space by specifying three mutually orthogonal coordinate axes.
spherical coordinates describe a vector or point in space with a distance and two angles.
this section introduces the concept of baseband signals and defines the local and global coordinate systems used in the toolbox.
phased array system toolbox uses the international system of units (si).