Demodulation
From RF to Bits
Demodulation Methods by Signal Type
| Method | Carrier Reference | Complexity | Sensitivity | Applicable To |
|---|---|---|---|---|
| Envelope detection | Not needed | Very low (diode + LPF) | Poor (−3 dB vs coherent) | AM, ASK, OOK |
| Discriminator (FM) | Not needed | Low | Moderate | FM, FSK, GFSK |
| Differential (DPSK) | Previous symbol | Moderate | ~1 dB loss vs coherent | DQPSK, Bluetooth |
| Coherent I/Q | Recovered (Costas/PLL) | High | Best (theoretical limit) | PSK, QAM, OFDM |
| Direct sampling (SDR) | Digital NCO | Highest (all in DSP) | Best (with correction) | Any modulation |
I(t) = RF(t) × cos(2πfLOt) → lowpass filter
Q(t) = RF(t) × sin(2πfLOt) → lowpass filter
Recovered symbol:
Amplitude = √(I² + Q²)
Phase = arctan(Q/I)
Key impairments and budgets:
I/Q gain imbalance: <0.2 dB for 256QAM (<1% EVM)
I/Q phase error: <1° for 256QAM
Frequency offset: corrected by AFC/pilot tracking
Frequently Asked Questions
Coherent vs. non-coherent?
Non-coherent (envelope detection): no carrier phase needed, simple, 3 dB worse sensitivity, only for AM/ASK. Coherent (I/Q): needs recovered carrier phase (Costas loop or pilot PLL), works for PSK/QAM/OFDM, achieves theoretical sensitivity limit.
How does I/Q work?
Two mixers with LO signals 90° apart produce I (real) and Q (imaginary) baseband components. Together they fully describe amplitude and phase. After ADC: digital DSP maps each I/Q sample to constellation points. 90° accuracy is critical; I/Q imbalance degrades EVM.
What degrades demodulator performance?
Frequency offset (constellation rotation), phase noise (tangential smear), I/Q imbalance (elliptical constellation), DC offset (shifted center), timing error (ISI). Modern DSP corrects all using embedded pilot symbols and training sequences.