Introductory Circuit Analysis (13th Edition)
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ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Only need solution to Problem 2. Thanks!
Transcribed Image Text:### Radar Systems Problem Set
**Problem 1: Pulse and Beamwidth Parameters**
A radar has specific operational parameters:
- Pulse length (\(\tau\)) = 10 μs
- Azimuth beamwidth (\(\theta_3\)) = 3°
- Elevation beamwidth (\(\phi_3\)) = 3°
**Question:**
At what grazing angle (\(\delta\)) does the transition occur between the pulse-limited and beam-limited ground clutter cases when the nominal range to the ground is:
- \( R = 10 \) km?
- \( R = 50 \) km?
**Problem 2: Volume Clutter Resolution Cell**
Using the same radar parameters given in Problem 1:
**Question:**
What is the volume (\(V\)) in cubic meters of a volume clutter resolution cell at:
- \( R = 10 \) km?
- \( R = 50 \) km?
### Detailed Explanation
**Pulse Length and Beamwidth:**
- **Pulse Length (\(\tau\))** refers to the duration of the radar pulse. It affects the range resolution of the radar.
- **Azimuth Beamwidth (\(\theta_3\))** is the horizontal angle width of the radar beam.
- **Elevation Beamwidth (\(\phi_3\))** is the vertical angle width of the radar beam.
**Grazing Angle (\(\delta\)):**
- The grazing angle is the angle between the radar beam and the surface it strikes (e.g., the ground).
**Clutter Resolution Cell Volume:**
- This refers to the volume in which the radar can distinguish separate objects.
By solving the problems stated, one can determine at which angles and ranges the radar transitions between different operational states and how large the clutter resolution volume is, which is crucial for understanding radar performance in practical scenarios.
**Note:** For accurate calculation, specific radar formulas and possibly complex integrals would be required, which are typically covered in advanced radar systems and signal processing courses.
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