Signal Processing

Demodulation

A 5G base station receives a 3.5 GHz signal carrying a 256QAM OFDM waveform with 100 MHz bandwidth. The receiver must determine which of 256 possible constellation points the transmitter intended for each of 3,276 subcarriers, every 35.7 microseconds, while the signal is buried in noise, distorted by multipath, shifted in frequency by Doppler, and corrupted by the PA's nonlinearity. Demodulation is the process that accomplishes this: it mixes the signal down to baseband using an I/Q architecture, digitizes both quadrature components, corrects for every impairment (frequency offset, phase noise, timing error, I/Q imbalance), and maps each corrected sample to the nearest constellation point to recover the transmitted bits.
Category: Signal Processing
Key Architecture: I/Q (quadrature)
Quality Metric: EVM, BER

From RF to Bits

Demodulation Methods by Signal Type

MethodCarrier ReferenceComplexitySensitivityApplicable To
Envelope detectionNot neededVery low (diode + LPF)Poor (−3 dB vs coherent)AM, ASK, OOK
Discriminator (FM)Not neededLowModerateFM, FSK, GFSK
Differential (DPSK)Previous symbolModerate~1 dB loss vs coherentDQPSK, Bluetooth
Coherent I/QRecovered (Costas/PLL)HighBest (theoretical limit)PSK, QAM, OFDM
Direct sampling (SDR)Digital NCOHighest (all in DSP)Best (with correction)Any modulation
I/Q demodulation:
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
Common Questions

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.

Receiver Analysis

I/Q Impairment Simulator

Enter I/Q gain imbalance, phase error, DC offset, and LO phase noise. Visualize the effect on constellation quality and predict the resulting EVM and BER degradation.

Simulate Impairments