lteULFrameOffsetPUCCH1

PUCCH format 1 DM-RS uplink subframe timing estimate

Syntax

offset = lteULFrameOffsetPUCCH1(ue,chs,waveform)

[offset,corr] = lteULFrameOffsetPUCCH1(ue,chs,waveform)

Description

offset = lteULFrameOffsetPUCCH1(ue,chs,waveform) performs synchronization using PUCCH format 1 demodulation reference signals (DM-RS) for the time-domain waveform, waveform, given UE-specific settings, ue, and PUCCH format 1 configuration, chs.

The returned value offset indicates the number of samples from the start of the waveform waveform to the position in that waveform where the first subframe containing the DM-RS begins.

offset provides subframe timing. Frame timing can be achieved by using offset with the subframe number, ue.NSubframe. This behavior is consistent with real-world operation because the base station knows when, or in which subframe, to expect uplink transmissions.

[offset,corr] = lteULFrameOffsetPUCCH1(ue,chs,waveform) also returns a complex matrix corr, which is the signal used to extract the timing offset.

Examples

Synchronize and Demodulate Using PUCCH Format 1 DM-RS

Synchronize and demodulate a transmission that has been delayed by four samples using the PUCCH format 1 demodulation reference signal (DM-RS) symbols.

Initialize configuration structures (ue and pucch1).

ue = struct('NULRB',6,'NCellID',0,'NSubframe',0,'Hopping','Off');
ue.CyclicPrefixUL = 'Normal';
ue.NTxAnts = 1;

pucch1 = struct('ResourceIdx',0);
pucch1.CyclicShifts = 0;
pucch1.DeltaShift = 1;
pucch1.ResourceSize = 0;

On the transmit side, populate reGrid, generate waveform, and insert a delay of four samples.

reGrid = lteULResourceGrid(ue);
reGrid(ltePUCCH1DRSIndices(ue,pucch1)) = ltePUCCH1DRS(ue,pucch1);
waveform = lteSCFDMAModulate(ue,reGrid);
tx = [zeros(4,1); waveform];

On the receive side, perform synchronization using the PUCCH format 1 DM-RS symbols for the time-domain waveform and demodulate adjusting for the frame timing estimate. Show estimated frame timing offset.

fOffset = lteULFrameOffsetPUCCH1(ue,pucch1,tx)

fOffset = 
4

rxGrid = lteSCFDMADemodulate(ue,tx(1+fOffset:end));

View PUCCH Format 1 DM-RS Transmission Correlation Peaks

View the correlation peak for a delayed transmit waveform. The transmission contains PUCCH format 1 demodulation reference signal (DM-RS) symbols available for estimating the waveform timing.

UE Configuration

Configure UE-specific settings and channel transmission parameters.

ue = struct('NULRB',6,'NCellID',0,'NSubframe',0,'Hopping','Off');
ue.CyclicPrefixUL = 'Normal';
ue.NTxAnts = 1;
pucch1 = struct('ResourceIdx',0,'CyclicShifts',0, ...
    'DeltaShift',1,'ResourceSize',0);

Generate Transmit Waveform

On the transmit side, populate a resource grid and generate a waveform containing PUCCH1 DM-RS.

reGrid = lteULResourceGrid(ue);
reGrid(ltePUCCH1DRSIndices(ue,pucch1)) = ltePUCCH1DRS(ue,pucch1);
tx = lteSCFDMAModulate(ue,reGrid);

Waveform Reception

On the receive side, calculate timing offset using the PUCCH format 1 DM-RS symbols for the time-domain waveform. Estimate the correlations for the transmit waveform and for a delayed version of the transmit waveform.

[~,corr] = lteULFrameOffsetPUCCH1(ue,pucch1,tx);
txDelayed = [zeros(7,1); tx];
[offset,corrDelayed] = lteULFrameOffsetPUCCH1(ue,pucch1,txDelayed);

Plot the correlation data before and after delay is added. Zoom in on the x-axis to view correlation peaks.

plot(corr)
hold on
plot(corrDelayed)
hold off
xlim([0 100])

Correct the timing offset and demodulate the received waveform.

rxGrid = lteSCFDMADemodulate(ue,txDelayed(1+offset:end));

Input Arguments

ue — UE-specific settings

scalar structure

UE-specific settings, specified as a scalar structure with the following fields.

Parameter Field	Required or Optional	Values	Description
NULRB	Required	Scalar integer from 6 to 110	Number of uplink resource blocks. ($$N_{\text{RB}}^{\text{UL}}$$)
NCellID	Required	Integer from 0 to 503	Physical layer cell identity
NSubframe	Required	0 (default), nonnegative scalar integer	Subframe number
CyclicPrefixUL	Optional	'Normal' (default), 'Extended'	Cyclic prefix length
NTxAnts	Optional	1 (default), 2, 4	Number of transmission antennas.
Hopping	Optional	'Off' (default), 'Group'	Frequency hopping method.
NPUCCHID	Optional	Integer from 0 to 503	PUCCH virtual cell identity. If this field is not present, NCellID is used as the identity.

Data Types: struct

chs — PUCCH format 1 configuration

scalar structure

PUCCH format 1 configuration, specified as a scalar structure with the following fields.

Parameter Field	Required or Optional	Values	Description
ResourceIdx	Optional	0 (default), integer from 0 to 2047 or vector of integers.	PUCCH resource indices, specified as an integer or a vector of integers. Values range from 0 to 2047. These indices determine the physical resource blocks, cyclic shift and orthogonal cover used for transmission. ($$n_{PUCCH}^{(1)}$$). Define one index for each transmission antenna.
ResourceSize	Optional	0 (default), integer from 0 to 98.	Size of resource allocated to PUCCH format 2 ($$N_{RB}^{(2)}$$)
DeltaShift	Optional	1 (default), 2, 3	Delta shift, specified as 1, 2, or 3. (Δshift)
DeltaOffset	Optional	0 (default), 1, 2	(Δoffset). Warning: The use of this parameter field is not advised. It applies only to 3GPP releases preceding v8.5.0. This parameter will be removed in a future release.
CyclicShifts	Optional	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. ($$N_{cs}^{(1)}$$)

Data Types: struct

waveform — Time-domain waveform

numeric matrix

Time-domain waveform, specified as a numeric matrix. waveform must be a N_S-by-N_R matrix, where N_S is the number of time-domain samples and N_R is the number of receive antennas. waveform should be at least one subframe long and contain the DM-RS signals.

Generate waveform by SC-FDMA modulation of a resource matrix using lteSCFDMAModulate function, or by using one of the channel model functions (lteFadingChannel, lteHSTChannel, or lteMovingChannel).

Data Types: double
Complex Number Support: Yes

Output Arguments

offset — Number of samples from the start of the waveform to the position in that waveform where the first subframe begins

scalar integer

Number of samples from the start of the waveform to the position in that waveform where the first subframe containing the DM-RS begins, returned as a scalar integer. offset is computed by extracting the timing of the peak of the correlation between waveform and internally generated reference waveforms containing DM-RS signals. The correlation is performed separately for each antenna and the antenna with the strongest correlation is used to compute offset.

Note

offset is the position of mod(max(abs(corr),LSF)), where L_SF is the subframe length.

corr — Signal used to extract the timing offset

numeric matrix

Signal used to extract the timing offset, returned as a complex numeric matrix. corr has the same dimensions as waveform.

Version History

Introduced in R2014a