# ltePUCCH2

Physical uplink control channel format 2

## Syntax

• sym = ltePUCCH2(ue,chs,bits)
example
• [sym,info] = ltePUCCH2(ue,chs,bits)
example

## Description

example

sym = ltePUCCH2(ue,chs,bits) returns a matrix containing physical uplink control channel (PUCCH) format 2 symbols given a structure of UE-specific settings, a structure with channel transmission configuration settings, and a vector of coded CQI/PMI or RI bits.

example

[sym,info] = ltePUCCH2(ue,chs,bits) also returns a PUCCH information structure array, info.

## Examples

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### Generate PUCCH Format2 symbols

Generate PUCCH format 2 symbol values, using NCellID set to 1 and NSubframe set to 0.

Initialize ue and chs configuration structures. Generate symbols.

ue.NCellID = 1;
ue.NSubframe = 0;
ue.RNTI = 1;
ue.CyclicPrefixUL = 'Normal';
ue.Hopping = 'Off';

chs.ResourceIdx = 0;
chs.ResourceSize = 0;
chs.CyclicShifts = 0;

sym = ltePUCCH2(ue,chs,ones(20,1));
sym(1:5)
ans =

0.0000 + 1.0000i
-0.5000 - 0.8660i
-0.5000 + 0.8660i
-0.0000 - 1.0000i
0.5000 + 0.8660i

### Generate PUCCH Format 2 Symbols for Two Antennas

Generate the physical uplink control channel (PUCCH) format 2 symbols for two transmit antenna paths.

Initialize parameters for a UE-specific configuration structure and a channel configuration structure. Generate PUCCH 2 symbols and the information structure.

ue.NCellID = 1;
ue.NSubframe = 0;
ue.RNTI = 1;
ue.CyclicPrefixUL = 'Normal';
ue.Hopping = 'Off';

chs.ResourceIdx = [0 3];
chs.ResourceSize = 0;
chs.CyclicShifts = 0;

[pucch2Sym,info] = ltePUCCH2(ue,chs,[]);

Because there are two antennas, the symbols are output as a two-column vector, and the info output structure contains two elements.

pucch2Sym(1:10,:)
size(info)
ans =

0.5000 + 0.5000i   0.5000 + 0.5000i
-0.6830 - 0.1830i   0.1830 - 0.6830i
0.1830 + 0.6830i  -0.1830 - 0.6830i
-0.5000 - 0.5000i  -0.5000 + 0.5000i
0.6830 + 0.1830i   0.6830 + 0.1830i
0.6830 - 0.1830i   0.1830 + 0.6830i
-0.5000 - 0.5000i   0.5000 + 0.5000i
-0.6830 - 0.1830i  -0.1830 + 0.6830i
0.6830 - 0.1830i   0.6830 - 0.1830i
0.5000 - 0.5000i   0.5000 + 0.5000i

ans =

1     2

View the contents of the second info structure element.

info(2)
ans =

Alpha: [1x10 double]
SeqGroup: [1 1]
SeqIdx: [0 0]
NResourceIdx: [4 7]
NCellCyclicShift: [64 192 46 212 191 71 91 84 25 105]
Symbols: [1x10 double]

## Input Arguments

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### ue — UE-specific settingsstructure

UE-specific configuration settings, specified as a structure containing these fields.

Parameter FieldRequired or OptionalValuesDescription
NCellIDRequired

Integer from 0 to 503

Physical layer cell identity.

NSubframeRequired

Nonnegative integer

Subframe number.

RNTIRequired

Scalar integer

Radio network temporary identifier (RNTI) value (16 bits)

CyclicPrefixULOptional

'Normal' (default), 'Extended'

Cyclic prefix length

HoppingOptional

'Off' (default), 'Group'

Frequency hopping method.

### chs — Channel transmission configurationstructure

Channel transmission configuration, specified as a structure containing these fields.

Parameter FieldRequired or OptionalValuesDescription
ResourceIdxOptional

0 (default), integer from 0 to 1185 or vector of integers.

PUCCH resource indices which determine the physical resource blocks, cyclic shift, and orthogonal cover used for transmission. (${n}_{PUCCH}^{\left(2\right)}$). Define one index for each transmission antenna.

ResourceSizeOptional

0 (default), integer from 0 to 98.

Size of resource allocated to PUCCH Format 2 (${N}_{RB}^{\left(2\right)}$)

CyclicShiftsOptional

0 (default), integer from 0 to 7

Number of cyclic shifts used for format 1 in resource blocks (RBs) with a mixture of format 1 and format 2 PUCCH, specified as an integer from 0 to 7. (${N}_{cs}^{\left(1\right)}$)

### bits — Coded CQI/PMI or RI bitsvector

Coded CQI/PMI or RI bits (coded UCI), specified as a vector that is formed by performing UCI encoding of a bit vector representing the CQI/PMI or RI information fields described in TS 36.212 [2], Section 5.2.3.3. This 20 bit long coded bit vector is denoted block of bits b(0),...,b(19) in TS 36.211 [1], Section 5.4.2. If Mbit is 21 or 22, corresponding to PUCCH format 2a or 2b, respectively, as described in TS 36.211 [1], Table 5.4-1, the further bits, b(20),...,b(Mbit–1), should be provided as input to the ltePUCCH2DRS function for transmission. An Mbit value of 20 corresponds to PUCCH format 2, with no additional bits being transmitted on the PUCCH format 2 DRS.

Data Types: logical | double

## Output Arguments

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### sym — PUCCH format 2 symbolsnumeric column vector

PUCCH format 2 symbols, returned as numeric column vector. The symbols for each antenna are in the columns of sym, with the number of columns determined by the number of PUCCH resource indices specified in chs.ResourceIdx.

Example: 0.7071 + 0.7071i

Data Types: double
Complex Number Support: Yes

### info — PUCCH format 2 informationstructure array

PUCCH format 2 information, returned as a structure array with elements corresponding to each transmit antenna and containing these fields.

### Alpha — Reference signal cyclic shift for each OFDM symboltwo-column vector

Reference signal cyclic shift for each OFDM symbol, returned as a two-column vector. (α)

### SeqGroup — PUCCH base sequence group number for each slottwo-column vector

PUCCH base sequence group number for each slot, returned as a two-column vector. (u)

### SeqIdx — PUCCH base sequence group number indices two-column vector

PUCCH base sequence group number indices for each slot, returned as a two-column vector. (v)

### NResourceIdx — PUCCH resource indices for each slottwo-column vector

PUCCH resource indices for each slot, returned as a two-column vector. (n')

### NCellCyclicShift — Cell-specific cyclic shift for each OFDM symbolvector

Cell-specific cyclic shift for each OFDM symbol, returned as a vector. (${n}_{cs}^{cell}$)

### Symbols — Modulated data symbols for each OFDM symbolvector

Modulated data symbols for each OFDM symbol, returned as a vector. (d(0))

Example: [0.7071 + 0.7071i,...]

## References

[1] 3GPP TS 36.211. "Physical Channels and Modulation." 3rd Generation Partnership Project; Technical Specification Group Radio Access Network; Evolved Universal Terrestrial Radio Access (E-UTRA). URL: http://www.3gpp.org.

[2] 3GPP TS 36.212. "Multiplexing and channel coding." 3rd Generation Partnership Project; Technical Specification Group Radio Access Network; Evolved Universal Terrestrial Radio Access (E-UTRA). URL: http://www.3gpp.org.