Signal Processing
Modulation
Information does not travel well at baseband. A 1 kHz audio signal would require a 75 km antenna to radiate efficiently. Modulation solves this by encoding the information onto a high-frequency carrier wave, shifting it to a frequency where practical antennas work. AM radio stamps the audio onto the carrier's amplitude. FM broadcasts encode it in frequency variations. Digital systems like 5G NR go further: they vary both the amplitude and phase of each symbol simultaneously (QAM), packing 10 bits into a single symbol period. The choice of modulation scheme determines how many bits per second can be transmitted in each hertz of bandwidth, how much noise the link can tolerate, and how linear the power amplifier must be.
More Bits Per Symbol, More SNR Required
| Scheme | Bits/Symbol | Spectral Eff. | Min SNR (BER 10−6) | Envelope | Where Used |
|---|---|---|---|---|---|
| BPSK | 1 | 1 bps/Hz | 10.5 dB | Constant | Deep space, GPS L1 |
| QPSK | 2 | 2 bps/Hz | 10.5 dB | Near-constant | Satellite, LTE edge |
| 16QAM | 4 | 4 bps/Hz | 14.5 dB | Variable | LTE mid-range |
| 64QAM | 6 | 6 bps/Hz | 18.5 dB | Variable (6 dB PAPR) | WiFi, LTE near-cell |
| 256QAM | 8 | 8 bps/Hz | 23 dB | Variable (7 dB PAPR) | WiFi 6, 5G NR near-cell |
| 1024QAM | 10 | 10 bps/Hz | 27 dB | Variable (8 dB PAPR) | WiFi 6E, 5G NR Rel-17 |
| GMSK | 1 | 1.35 bps/Hz | 8 dB | Constant | GSM, Bluetooth BR |
Shannon capacity (theoretical maximum):
C = B × log2(1 + SNR) bps
At 20 dB SNR in 20 MHz: C = 20M × log2(101) = 133 Mbps
Spectral efficiency:
η = log2(M) bps/Hz (for M-ary QAM, uncoded)
256QAM: η = log2(256) = 8 bps/Hz
C = B × log2(1 + SNR) bps
At 20 dB SNR in 20 MHz: C = 20M × log2(101) = 133 Mbps
Spectral efficiency:
η = log2(M) bps/Hz (for M-ary QAM, uncoded)
256QAM: η = log2(256) = 8 bps/Hz
Common Questions
Frequently Asked Questions
Why QAM instead of AM or FM?
QAM modulates amplitude and phase simultaneously, packing up to 10 bits per symbol (1024QAM). A 20 MHz channel with 256QAM carries 8× the data of BPSK. The cost: higher SNR required (23 dB vs. 10.5 dB). Modern systems adapt modulation to channel quality in real time.
What is OFDM?
Splits a wideband channel into thousands of narrow QAM subcarriers. 5G NR uses 3,276 subcarriers at 30 kHz spacing for 100 MHz. Each sees a flat channel, avoiding ISI. Cyclic prefix absorbs multipath. Trade-off: 8 to 12 dB PAPR stresses the PA.
How does modulation affect the PA?
Constant-envelope (GMSK): PA can be nonlinear (Class C/E), efficient. Variable-envelope (QAM/OFDM): PA must be linear (Class AB), 6 to 12 dB back-off, efficiency drops to 10 to 25%. DPD and Doherty architectures recover efficiency.
See Also