nrOFDMInfo

Get OFDM information

Syntax

info = nrOFDMInfo(carrier)

info = nrOFDMInfo(nrb,scs)

info = nrOFDMInfo(___,Name,Value)

Description

info = nrOFDMInfo(carrier) provides dimensional information relevant to orthogonal frequency-division multiplexing (OFDM) modulation for the specified carrier configuration parameters.

info = nrOFDMInfo(nrb,scs) provides OFDM information for the specified number of resource blocks, nrb, and subcarrier spacing scs.

info = nrOFDMInfo(___,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

Generate OFDM Modulated Waveform

Generate a waveform by performing OFDM modulation of a resource array that contains sounding reference signals (SRSs). The resource array spans an entire frame.

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

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

Configure SRS parameters, setting the slot periodicity to 2 and the offset to zero.

srs = nrSRSConfig('SRSPeriod',[2 0]);

Get OFDM information for the specified carrier configuration.

info = nrOFDMInfo(carrier);

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

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

Perform OFDM modulation on the resource array for the specified carrier configuration.

[waveform,info] = nrOFDMModulate(carrier,grid);

Get OFDM Information for Extended Cyclic Prefix

Set carrier configuration parameters, specifying a subcarrier spacing of 60 kHz and extended cyclic prefix.

scs = 60;
cpl = 'Extended';

Set the number of resource blocks to 150.

Generate and display OFDM information.

nrb = 150;
info = nrOFDMInfo(nrb,scs,'CyclicPrefix',cpl)

info = struct with fields:
                   Nfft: 4096
             SampleRate: 245760000
    CyclicPrefixLengths: [1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 1024 … ] (1×48 double)
          SymbolLengths: [5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 5120 … ] (1×48 double)
              Windowing: 116
           SymbolPhases: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
         SymbolsPerSlot: 12
       SlotsPerSubframe: 4
          SlotsPerFrame: 40

Get OFDM Information for Specified Sample Rate

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

carrier = nrCarrierConfig('NSizeGrid',106);

Generate and display OFDM information for the specified sample rate.

sr = 1e8;
info = nrOFDMInfo(carrier,'SampleRate',sr)

info = struct with fields:
                   Nfft: 3200
             SampleRate: 100000000
    CyclicPrefixLengths: [250 225 225 225 225 225 225 250 225 225 225 225 225 225]
          SymbolLengths: [3450 3425 3425 3425 3425 3425 3425 3450 3425 3425 3425 3425 3425 3425]
              Windowing: 112
           SymbolPhases: [0 0 0 0 0 0 0 0 0 0 0 0 0 0]
         SymbolsPerSlot: 14
       SlotsPerSubframe: 1
          SlotsPerFrame: 10

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

• CyclicPrefix

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

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: 'SampleRate','1e9' specifies a sample rate of 1×10⁹ Hz.

CyclicPrefix — Cyclic prefix length

'normal' (default) | 'extended'

Cyclic prefix length, specified as 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

Windowing — Number of time-domain samples for OFDM symbol windowing and overlapping

nonnegative integer (default depends on other input values) | []

Number of time-domain samples over which the function applies raised cosine windowing and overlapping of OFDM symbols, specified as the comma-separated pair consisting of 'Windowing' and either a nonnegative integer or [].

If you do not specify this input, or if you specify 'Windowing',[], the function sets this input to the maximum value E that does not impact error vector magnitude (EVM) tests, as specified in TS 38.101-1 Annexes F.5.3 and F.5.4, TS 38.101-2 Annexes F.5.3 and F.5.4, and TS 38.104 Annexes B.5.2 and C.5.2. E is equal to value of floor((N_CP − W) × info.Nfft ⁄ N_{FFT, nominal}), where N_CP, W, and N_{FFT, nominal} are the values in the table columns labeled "Cyclic prefix length", "EVM window length", and "FFT size", respectively.

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

Output Arguments

info — OFDM information

structure

OFDM information, returned as a structure containing these fields.

Fields	Values	Description
Nfft	Positive integer	Number of FFT points
SampleRate	Positive scalar	Waveform sample rate
CyclicPrefixLengths	1-by-N vector of positive integers, where N is the number of OFDM symbols in a subframe.	Cyclic prefix lengths of each OFDM symbol, in samples
SymbolLengths	1-by-N vector of positive integers	OFDM symbol lengths, in samples
Windowing	Positive integer	Number of time-domain samples over which the function applies raised cosine windowing and overlapping of OFDM symbols
SymbolPhases	1-by-N vector of numbers in the interval [-π, π]	Phase compensation of each OFDM symbol, in radians The nrOFDMModulate function applies this compensation during modulation to account for phase terms per OFDM symbol, as specified in TS 38.211 Section 5.4 [4]. The nrOFDMDemodulate function inverts this phase compensation during demodulation.
SymbolsPerSlot	Positive integer	Number of OFDM symbols in a slot
SlotsPerSubframe	Positive integer	Number of slots in a 1 ms subframe
SlotsPerFrame	Positive integer	Number of slots in a 10 ms frame

Note

The number of samples in the CyclicPrefixLengths, SymbolLengths, and Windowing structure fields apply to the sample rate of the IFFT of size Nfft that is used during OFDM symbol construction. However, the IFFT sample rate can differ from the waveform sample rate when the SampleRate name-value argument specifies an arbitrary sample rate.

For more information on these fields, see the Use Custom OFDM Sample Rate and Custom FFT Size example.

Data Types: struct

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™.

Version History

Introduced in R2020b

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 input arguments as compile-time constants has been removed.