Strategic Objectives
• Master the mathematical foundations of relativistic and classical Doppler shifts.
• Implement robust frequency estimation algorithms for high-mobility environments.
• Design real-time compensation loops that maintain sub-hertz precision.
• Navigate the unique challenges of orbital mechanics and signal propagation.
The Core Challenge
High-velocity LEO satellites create massive frequency shifts that tear apart signal integrity and break real-time communication links.
01
The Physics of Motion
02
LEO Orbital Dynamics
03
Relativistic Considerations
04
Carrier Frequency Basics
05
Link Budget Realities
06
Signal Acquisition Strategies
07
The Role of Digital Signal Processing
08
Frequency Estimation Techniques
09
The Phase-Locked Loop (PLL)
10
Costas Loop Implementation
11
Fast Fourier Transforms in Tracking
12
Maximum Likelihood Estimation
13
Kalman Filtering for Trajectory
14
Numerical Analysis of Algorithms
15
Oscillator Instability
16
Timing Recovery Interplay
17
Adaptive Filtering
18
Atmospheric Refraction Effects
19
Real-Time Operating Systems
20
Software-Defined Radio Solutions
21
Future Trends in SatCom
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