IQ Sampling Basics

1. Conceptual Intuition (L1)

• Why "Complex" numbers? (Magnitude and Phase).
• I (In-phase) and Q (Quadrature).
• Representing rotation mathematically.

2. Engineering Math (L2)

• Euler's Identity ($e^{j\omega t} = \cos + j\sin$).
• Nyquist Sampling Theorem.
• Negative Frequencies concept.

3. System Application (L3)

• DC Offset and LO Leakage.
• IQ Imbalance (Gain/Phase mismatch) and Image Rejection.
• Direct Conversion Receiver issues.

Interactive Component: IQ Phasor Animation

• Description: Visualize rotating phasors.
• Controls: I/Q Amplitudes, Rotation speed.