Radar System Analysis and Modeling

APPENDIX 8A: PROBLEMS ON TRACKING RADAR

APPENDIX 8A: PROBLEMS ON TRACKING RADAR

Problem 8.1: Conical-Scan Tracking Noise

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:

  1. The half-power beamwidth ? 3;

  2. The crossover loss L k;

  3. The error slope k s;

  4. Calculate and plot the thermal noise error ? ? in mr, versus range, on a log-log scale from 10 to 200 km;

  5. 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.

Problem 8.2: Conical-Scan Scintillation Error

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.

  1. What is the correlation time t c of the target signal at R = 100 km?

  2. What is the scintillation error ? s at R

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