nrOFDMDemodulate

Demodulate OFDM waveform

Since R2020b

Syntax

grid = nrOFDMDemodulate(carrier,waveform)

grid = nrOFDMDemodulate(waveform,nrb,scs,initialNSlot)

grid = nrOFDMDemodulate(___,Name,Value)

Description

grid = nrOFDMDemodulate(carrier,waveform) recovers a carrier resource array by demodulating waveform, an OFDM modulated waveform, for carrier configuration parameters carrier.

grid = nrOFDMDemodulate(waveform,nrb,scs,initialNSlot) demodulates waveform for nrb, the specified number of resource blocks, subcarrier spacing scs, and initial slot number initialNSlot.

grid = nrOFDMDemodulate(___,Name,Value) specifies options by using one or more name-value pair arguments in addition to the input arguments in any of the previous syntaxes.

Examples

Demodulate OFDM Waveform

Recover a transmitted carrier resource array by demodulating an OFDM waveform.

Set carrier configuration parameters, specifying 106 resource blocks (RBs) in the carrier resource array.

carrier = nrCarrierConfig('NSizeGrid',106);

Generate physical downlink shared channel (PDSCH) demodulation reference signal (DM-RS) symbols and indices.

p = 2;
pdsch = nrPDSCHConfig('NumLayers',p);
sym = nrPDSCHDMRS(carrier,pdsch);
ind = nrPDSCHDMRSIndices(carrier,pdsch);

Create a carrier resource array containing the PDSCH DM-RS symbols.

txGrid = nrResourceGrid(carrier,p);
txGrid(ind) = sym;

Generate OFDM modulated waveform.

[txWaveform,~] = nrOFDMModulate(carrier,txGrid);

Pass the waveform through a simple 2-by-1 channel.

H = [0.6; 0.4];
waveform = txWaveform*H;

Recover the carrier resource array by demodulating the received OFDM waveform.

grid = nrOFDMDemodulate(carrier,waveform);

Demodulate OFDM Waveform with Extended Cyclic Prefix

Recover a resource array that contains PDSCH DM-RS symbols by demodulating an OFDM waveform.

Set carrier configuration parameters, specifying a subcarrier spacing of 60 kHz.

scs = 60;
carrier = nrCarrierConfig('SubcarrierSpacing',scs);

Generate PDSCH DM-RS symbols and indices.

p = 2;
pdsch = nrPDSCHConfig('NumLayers',p);
sym = nrPDSCHDMRS(carrier,pdsch);
ind = nrPDSCHDMRSIndices(carrier,pdsch);

Create a carrier resource array containing the PDSCH DM-RS symbols.

txGrid = nrResourceGrid(carrier,p);
txGrid(ind) = sym;

Generate an OFDM modulated waveform, specifying the subcarrier spacing, initial slot number, and cyclic prefix length.

initialNSlot = carrier.NSlot;
cpl = 'extended';
[txWaveform,info] = nrOFDMModulate(txGrid,scs,initialNSlot,'CyclicPrefix',cpl);

Pass the waveform through a simple 2-by-1 channel.

H = [0.9; 0.95];
waveform = txWaveform*H;

Recover the carrier resource array by demodulating the received OFDM waveform.

nrb = carrier.NSizeGrid;
grid = nrOFDMDemodulate(waveform,nrb,scs,initialNSlot,'CyclicPrefix',cpl);

Demodulate OFDM Waveform with Specified Sample Rate

Recover a transmitted resource array that contains sounding reference signals (SRSs) and spans an entire frame by demodulating an OFDM waveform.

Set carrier configuration parameters, specifying a subcarrier spacing of 30 kHz and 24 resource blocks in the carrier resource array.

carrier = nrCarrierConfig('SubcarrierSpacing',30,'NSizeGrid',24);

Configure SRS parameters, setting the slot periodicity and offset.

srs = nrSRSConfig('SRSPeriod',[4 0]);

Get OFDM information for the specified carrier configuration.

info = nrOFDMInfo(carrier);

Produce the frame resource array by creating and concatenating slot resource arrays.

frameGrid = [];
for nslot = 0:(info.SlotsPerFrame - 1)
    carrier.NSlot = nslot;
    slotGrid = nrResourceGrid(carrier);
    ind = nrSRSIndices(carrier,srs);
    sym = nrSRS(carrier,srs);
    slotGrid(ind) = sym;
    frameGrid = [frameGrid slotGrid];
end

Generate the OFDM modulated waveform.

[txWaveform,~] = nrOFDMModulate(carrier,frameGrid);

Pass the waveform through a simple channel.

H = 0.86;
waveform = txWaveform*H;

Recover the carrier resource array by demodulating the received OFDM waveform, specifying the sample rate.

sr = info.SampleRate;
grid = nrOFDMDemodulate(carrier,waveform,'SampleRate',sr);

Input Arguments

carrier — Carrier configuration parameters

nrCarrierConfig object

Carrier configuration parameters for a specific OFDM numerology, specified as an nrCarrierConfig object. Only these object properties are relevant for this function.

• NSizeGrid

• SubcarrierSpacing

• NSlot

• CyclicPrefix

waveform — OFDM modulated waveform

complex-valued matrix

OFDM modulated waveform, specified as a complex-valued matrix of size T-by-R.

• T is the number of time-domain samples in the waveform.

• R is the number of receive antennas.

Data Types: double
Complex Number Support: Yes

nrb — Number of resource blocks

integer from 1 to 275

Number of resource blocks, specified as an integer from 1 to 275.

Data Types: double

scs — Subcarrier spacing in kHz

15 | 30 | 60 | 120 | 240 | 480 | 960

Subcarrier spacing in kHz, specified as 15, 30, 60, 120, 240, 480, or 960.

Data Types: double

initialNSlot — Initial slot number

nonnegative integer

Initial slot number, in 0-based form, specified as a nonnegative integer. The function selects the appropriate cyclic prefix lengths for OFDM demodulation by using the value of initialNSlot mod S, where S is the number of slots per subframe.

Data Types: double

Name-Value Arguments

Specify optional pairs of arguments as Name1=Value1,...,NameN=ValueN, where Name is the argument name and Value is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.

Before R2021a, use commas to separate each name and value, and enclose Name in quotes.

Example: 'CyclicPrefixFraction',0.75 specifies the start location for demodulation relative to the cyclic prefix length.

CyclicPrefix — Cyclic prefix length

'normal' (default) | 'extended'

Cyclic prefix length, specified as the comma-separated pair consisting of 'CyclicPrefix' and one of these values:

• 'normal' — Use this value to specify normal cyclic prefix. This option corresponds to 14 OFDM symbols in a slot.

• 'extended' — Use this value to specify extended cyclic prefix. This option corresponds to 12 OFDM symbols in a slot. For the numerologies specified in TS 38.211 Section 4.2, the extended cyclic prefix length only applies to 60 kHz subcarrier spacing.

Note

If you specify the carrier input, use the CyclicPrefix property of the carrier input to specify the cyclic prefix length. You cannot use this name-value pair argument together with the carrier input.

Data Types: char | string

Nfft — Number of FFT points

integer greater than 127 (default depends on other input values) | []

Number of fast Fourier transform (FFT) points, specified as the comma-separated pair consisting of 'Nfft' and a nonnegative integer greater than 127 or []. The value you specify must result in integer-valued cyclic prefix lengths and a maximum occupancy of 100%. The occupancy is defined as the value of (12 × N_RB)/Nfft, where N_RB is the number of resource blocks.

If you do not specify this input, or if you specify 'Nfft',[], the function sets an integer value greater than 127 as a default value for this input. The actual default value depends on other input values.

• If you do not specify the SampleRate input, or if you specify 'SampleRate',[], the function sets Nfft satisfying these conditions.

  • Nfft is an integer power of 2.

  • Nfft results in a maximum occupancy of 85%.

• If you specify the SampleRate input, the function sets Nfft satisfying these conditions.

  • Nfft results in integer-valued cyclic prefix lengths.

  • Nfft maximises the value of gcd (Nfft × SCS, SampleRate), where SCS is specified by the carrier.SubcarrierSpacing property or the scs input.

For more information, see Configure OFDM Sample Rate and FFT Size.

Data Types: double

SampleRate — Waveform sample rate

positive scalar (default depends on other input values) | []

Waveform sample rate, specified as the comma-separated pair consisting of 'SampleRate' and either a positive scalar or [].

If you do not specify this input, or if you specify 'SampleRate',[], then the function sets this input to the value of N_fft × SCS.

• N_fft is the value of the 'Nfft' input.

• SCS is the subcarrier spacing. Depending on the function syntax you use, SCS is specified by the carrier.SubcarrierSpacing property or the scs input.

For more information, see Configure OFDM Sample Rate and FFT Size.

Data Types: double

CarrierFrequency — Carrier frequency in Hz

0 (default) | real number

Carrier frequency in Hz, specified as the comma-separated pair consisting of 'CarrierFrequency' and a real number. This input corresponds to f₀, defined in TS 38.211 Section 5.4.

Data Types: double

CyclicPrefixFraction — FFT window position within cyclic prefix

0.5 (default) | scalar in the interval [0, 1]

Fast Fourier transform (FFT) window position within the cyclic prefix, specified as the comma-separated pair consisting of 'CyclicPrefixFraction' and a scalar in the interval [0, 1].

The value that you specify indicates the start location for OFDM demodulation relative to the beginning of the cyclic prefix.

Data Types: double

Output Arguments

grid — Carrier resource array

complex-valued array

Carrier resource array, returned as a complex-valued array of size K-by-L-by-R.

• K is the number of subcarriers.

• L is the number of OFDM symbols.

• R is the number of receive antennas.

Data Types: double
Complex Number Support: Yes

References

[1] 3GPP TS 38.101-1. “NR; User Equipment (UE) radio transmission and reception; Part 1: Range 1 Standalone.” 3rd Generation Partnership Project; Technical Specification Group Radio Access Network.

[2] 3GPP TS 38.101-2. “NR; User Equipment (UE) radio transmission and reception; Part 2: Range 2 Standalone.” 3rd Generation Partnership Project; Technical Specification Group Radio Access Network.

[3] 3GPP TS 38.104. “NR; Base Station (BS) radio transmission and reception.” 3rd Generation Partnership Project; Technical Specification Group Radio Access Network.

[4] 3GPP TS 38.211. “NR; Physical channels and modulation.” 3rd Generation Partnership Project; Technical Specification Group Radio Access Network.

Extended Capabilities

C/C++ Code Generation

Generate C and C++ code using MATLAB® Coder™.

Usage notes and limitations:

• The 'SampleRate' name-value argument must be compile-time constant for code generation. For example, when you call the function with 'SampleRate',15.36e6, include {coder.Constant('SampleRate'),coder.Constant(15.36e6)} in the -args value of the codegen function. For more information, see the coder.Constant (MATLAB Coder) class.

• If you specify the 'SampleRate' name-value argument, the nrb, scs input arguments and the 'Nfft' name-value argument must also be compile-time constants. For example, include also {coder.Constant(nrb)} and {coder.Constant(scs)} in the -args value of the codegen function.

• The 'SampleRate' name-value pair argument cannot be used together with the carrier input.

GPU Arrays

Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™. (since R2024a)

The nrOFDMDemodulate function fully supports GPU arrays. To run the function on a GPU, specify the input data as a gpuArray (Parallel Computing Toolbox). For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Version History

Introduced in R2020b

R2024a: GPU array support

The nrOFDMDemodulate function now supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

R2023a: Subcarrier spacing for FR2-2

The function now supports 480 kHz and 960 kHz subcarrier spacings, as defined in TS 38.211 Sections 4.2 and 4.3.

R2023a: C/C++ code generation updates

For C/C++ code generation, the limitation to specify 'CyclicPrefix', 'Windowing', 'CarrierFrequency', 'CyclicPrefixFraction', or 'Nfft' name-value arguments as compile-time constants has been removed. However, if you specify the 'SampleRate' name-value argument, the 'Nfft' name-value argument must still be compile-time constant for code generation.