5G NR · Single-carrier uplink

Transform Precoding

One extra DFT block turns OFDM into a single-carrier waveform. That's the whole trick behind DFT-s-OFDM: spread the symbols across subcarriers first, and the time-domain signal stops having those vicious OFDM peaks — so the UE's power amplifier runs hot and reaches far. See the spreading, the π/2-BPSK twist, and the PAPR pay-off. TS 38.211 §6.3.1.4.

M-DFTspreading
~3 dBPAPR saved
π/2BPSK rotation
38.211§6.3.1.4
OFDM peaks vs DFT-spread flat envelope
1 The mechanism

An M-point DFT before the IFFT

Ordinary OFDM puts one symbol on each subcarrier, so the IFFT sums many independent symbols — occasionally they all align and create a huge peak. Transform precoding first runs the M data symbols through an M-point DFT and maps the result to M contiguous subcarriers. Now every time-domain sample is essentially one spread symbol — the peaks vanish.

Symbols

d(0)…d(M−1)

M-point DFT

spread

Subcarrier map

M contiguous

IFFT

N-point

+ CP

transmit

38.211 §6.3.1.4 — transform precodingz(l) = (1/√M) · Σk=0..M−1 d(k) · e−j2πlk/M   // the spreading DFT, before subcarrier mapping
2 See the peaks

Time-domain envelope

Same data, two waveforms. CP-OFDM swings wildly (high PAPR); DFT-s-OFDM stays flat (low PAPR), so the PA can be driven closer to saturation without clipping — that is the coverage gain.

PAPR (≈)
PA back-off needed
Relative coverage
3 The extra squeeze

π/2-BPSK

For the deepest coverage, transform precoding pairs with π/2-BPSK: every other symbol is rotated by 90°, which avoids transitions through the origin. No zero-crossings means an even flatter envelope and the lowest PAPR of any NR modulation. Toggle the rotation.

Origin crossings
4 Knowledge check

Test yourself