3GPP TS 38.211 Section 6.3.2.5

PUCCH Format 2 Test Bench Report

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1. Configuration Parameters

Test setup configured using short PUCCH Format 2 with Gold PRN sequence scrambling and QPSK modulation.

Parameter 3GPP Symbol Value / Setting Description
Channel / Format — PUCCH Format 2 Short format (> 2 bits) with multiplexed DM-RS
RNTI n_RNTI 12345 Radio Network Temporary Identifier for scrambling seed
Spreading Factor N_SF 1 Spreading factor configuration
Interlace Allocation — Disabled Contiguous physical resource block mapping
Allocated PRBs N_PRB 2 PRBs (24 subcarriers) 16 data subcarriers, 8 DM-RS subcarriers
Allocated Symbols N_symb 1 Symbol Short PUCCH symbol duration
Start PRB Index n_PRB 0 Starting PRB index
First Symbol Index S 0 First OFDM symbol index in slot
Modulation Scheme — QPSK (2 bits/symbol) QPSK constellation mapping
Coded Bits M_bit 32 bits 2 PRBs × 8 data subcarriers × 1 symbol × 2 bits
Slot Number n_s,f^μ 0 Slot index within frame

2. Expected Intermediate Values & DSP Execution

Intermediate output metrics from bit scrambling, QPSK constellation mapping, and subcarrier allocation.

Total Coded Input Bits: 32 bits | Scrambled Bit Stream Size: 32 bits
Modulated QPSK Symbols (d_m): 16 complex symbols
Expanded Output Vector: 48 complex elements (including OCC spreading factor)
Stage Element Count Format / Domain 3GPP Specification Reference
Scrambling (b_i) 32 bits Binary Vector {0, 1} TS 38.211 Section 6.3.2.5.1
Modulation (d_m) 16 symbols Complex QPSK Constellation TS 38.211 Section 5.1.2
OCC Sequence 2 elements (+1.000, -0.000) Time-domain orthogonal sequence
Final Vector Grid 48 elements Complex Subcarrier Array TS 38.211 Section 6.3.2.5.3

3. Subcarrier Multiplexing & Interlace Architecture

3GPP TS 38.211 subcarrier resource allocation mapping showing DM-RS pilots on indices k = 1, 4, 7, 10 alongside localized vs. interlaced PRB distributions.

Format 2 Subcarriers inside a single PRB (0 to 11):
+----+----+----+----+----+----+----+----+----+----+----+----+
| 0  | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10 | 11 |
+----+----+----+----+----+----+----+----+----+----+----+----+
|Data|DMRS|Data|Data|DMRS|Data|Data|DMRS|Data|Data|DMRS|Data|
+----+----+----+----+----+----+----+----+----+----+----+----+

Standard Localized PRBs (Contiguous):

[PRB 0][PRB 1][PRB 2][PRB 3] ... (Concentrated energy, bad for NR-U)

Interlaced PRBs for Interlace Index 0 (M = 5):
[PRB 0]------[PRB 5]------[PRB 10]------[PRB 15]------[PRB 20]...
^                                                               ^
+------------------- Spans > 80% of Bandwidth -----------------+

Subcarriers (Y-Axis)
^
|  [Symbol l=0, Seed A]   [Symbol l=1, Seed B]
| +--------------------+ +--------------------+
| |   Data Subcarrier  | |   Data Subcarrier  |
| |   Data Subcarrier  | |   Data Subcarrier  |
| |  PILOT (From PN A) | |  PILOT (From PN B) |  <-- Subcarrier index 1, 4, 7, 10
| |   Data Subcarrier  | |   Data Subcarrier  |
| |   Data Subcarrier  | |   Data Subcarrier  |
| |  PILOT (From PN A) | |  PILOT (From PN B) |
| +--------------------+ +--------------------+
+----------------------------------------------------> Time / Symbols (X-Axis)

4. Python Signal Analytics & Visualizations

Time-domain envelope and Power Spectral Density (PSD) plots exported from the Python test analytics pipeline.

PUCCH Format 2 Time Domain Plot
Figure 1: Time Domain Waveform
PUCCH Format 2 Power Spectral Density Plot
Figure 2: Power Spectral Density (PSD)