OFDM 4-QAM: Step-by-Step Multiplexing
Visualizing Frequency-to-Time transformations
Step 1: Serial-to-Parallel Bits
Generating two parallel streams (In-phase and Quadrature).
Step 2: 4-QAM Mapping
$$X_k = \frac{1}{\sqrt{2}}(A_{I} + jA_{Q})$$
Step 3: Multiplexing (IFFT)
Converting frequency subcarriers into a time-domain wave.
$$x[n] = \text{IFFT}\{X_k\}$$
Step 4: Guard Interval (Cyclic Prefix)
Prepending the last $N_{cp}$ samples to the front to prevent ISI.
Step 5: Receiver Demultiplexing (FFT)
Removing CP, adding noise, and transforming back to frequency.