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Homework #1 (50 points) An UAS (Drone) with a radar attached flies straight and level over UMKC soccer stadium where there is a single point target offering a RCS(o)= 1m². The radar operates at the central frequency of f = 2,450(MHz), which is the center frequency of one of ISM (Industrial, Scientific and Medical) bands allocated in the US. The radar uses a patch antenna with dimensions of 4 cm (height) by 20 cm (length). This antenna is installed with a 45 degree inclination/tilt with respect of the flight path reference plane. Considerations: a) Ignore earth curvature, b) All echoes your radar will receive comes from the target, i.e. no clutter this time, c) The UAS flights at 400 ft above the ground at a speed of 50 MPH from a distance of -2,000 m to +2,000 m in the horizontal axis ( x- coordinate) with respect to the target,
Answer to following (10 pts each): 1. Plot the range "R" expressed in meters to the target versus drone/radar position from and up to a distance of 2,000m in the horizontal axis. 2. Plot the angle (careful when using radians or degrees) between the drone's vector and the range vector versus drone's position. 3. Plot the antenna gain (decibel scale) in the direction of the range vector versus the UAS position (use the sin(x)/x antenna radiation pattern model), 4. Plot on a decibel scale, the P₁/P, ratio versus the drone's position, 5. Plot Doppler shift (Hz) of the target's echo versus drone's position, ring
U 0 Scho Z h flight path ground track X -y offset R target Ф and Enging
°0<0°0=0 → ⁹0 > 0 Elevation angle Azimuth angle Φ <ΦΟ ΕΦ =ΦΟ → Φ > Φο ← Schoo an 0 V Far-field half-power radiation beam (not to scale) Z R flight path ground track offset -X King target