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Problems

1. An aircraft has a 4° azimuth 3-dB beamwidth. The RF is 10 GHz and the

antenna is steered to a squint angle ψ of 30°. If the aircraft flies at 100 m/s,
what is the Doppler spread of the clutter echoes induced by the aircraft
motion?

2. Suppose the aircraft in the previous problem has a PRF of 10 kHz. Sketch a
Doppler spectrum similar to that of Fig. 5.1c, but with noise and mainlobe
clutter components only. What range of Doppler shifts lie in the mainlobe
clutter region of the spectrum? What range of Doppler shifts lie in the clear
region of the spectrum? What percentage of the total spectrum width from

–PRF/2 to +PRF/2 is in the clear region?
3. If the PRF in the previous problem is changed to 1 kHz, what percentage of

the total spectrum width will lie in the clear region?

4. Consider a 10-GHz airborne radar traveling straight, level, and forward at
200 mph at an altitude of 30,000 feet. The antenna is pointed at an azimuth
angle of 0° and an elevation angle of –20°, similar to Fig. 5.3a. What will
be the radial velocity in meters per second of echoes from stationary
scatterers in the following locations: (a) directly ahead of the aircraft, (b)
at the point where the antenna boresight intercepts the ground, (c) directly