Radar System Analysis and Modeling

A conical-scan tracking radar has the following parameters:
| Wavelength ? | 0.03m | Antenna diameter D | 1.0m |
| Beamwidth constant K ? | 1.2 | Normalized squint angle ? k | 0.3 ? 3, |
| Squint on both Tx and Rx beams | PRF f r | 1,000 Hz | |
| Scan rate. f s | 30 Hz | Servo bandwidth ? n | 2 Hz |
| Range R 0 for S/ N = 1 on beam axis | 100 km | Instrumental error ? i | 0.25 mr |
Using the program ConicalScan.mcd, calculate the following:
The half-power beamwidth ? 3;
The crossover loss L k;
The error slope k s;
Calculate and plot the thermal noise error ? ? in mr, versus range, on a log-log scale from 10 to 200 km;
Calculate and plot the rss sum ? t of thermal noise and instrumental error, versus range, on a log-log scale from 10 to 200 km.
The radar of Problem 8.1 is tracking a target having a wingspan L x = 15m, vertical span L z = 5m, directly approaching the radar at v t = 250 m/s, executing pitch and yaw maneuvers at 0.1g and 0.2g, respectively, and with a random pitch and yaw rates of 10 mr/s.
What is the correlation time t c of the target signal at R = 100 km?
What is the scintillation error ? s at R