12.5. You want to design a side looking synthetic aperture Ultrasonic radar operating at and peak power . The antenna beam is conical with 3dB beam width . The maximum gain is . The radar is at a constant altitude and is moving at a velocity of . The elevation angle defining the footprint is .

(a) Give an expression for the antenna gain assuming a Gaussian pattern.

(b) Compute the pulse width corresponding to range resolution of .

(c) What are the footprint dimensions?

(d) Compute and plot the Doppler history for a scatterer located on the central range bin.

(e) Calculate the minimum and maximum PRFs; do you need to use more than one PRF?

(f) How will you design the system in order to achieve an azimuth resolution of ?