Doppler & FMCW

1. Conceptual Intuition (L1)

• The Train Whistle Effect (Shift in frequency due to motion).
• FMCW: Changing frequency over time to measure distance (like a bat).
• Beat Frequency.

2. Engineering Math (L2)

• Doppler Shift ($f_d = \frac{2v}{\lambda}$).
• FMCW Slope equation ($S = BW / T_{chirp}$).
• Beat Frequency relation ($f_b = S \frac{2R}{c}$).

3. System Application (L3)

• Range-Doppler Map (2D FFT processing).
• Ghost Targets.
• Velocity ambiguity (Doppler Nyquist).

Interactive Component: FMCW Chirp Diagram

• Description: The Sawtooth wave and the beat frequency.
• Controls: Slope, Distance, Velocity.