Use Default OFDM Sample Rate and Default FFT Size

This example shows how the OFDM functions (nrOFDMModulate, nrOFDMInfo, and nrOFDMDemodulate) set the default value for the sample rate input, SampleRate, and the default value for the fast Fourier transform (FFT) size input, Nfft, when you call an OFDM function and these conditions apply.

• You do not specify a value for the SampleRate input, or you specify 'SampleRate',[].

• You do not specify a value for the Nfft input, or you specify 'Nfft',[].

Default OFDM Sample Rate

The default value set for the SampleRate input is equal to Nfft*carrier.SubcarrierSpacing*1000, where carrier is the input argument of the function call that specifies the carrier configuration.

Default FFT Size

The default value set for the Nfft input satisfies these conditions.

• Nfft is an integer greater than 127 (to ensure integer-valued cyclic prefix lengths)

• Nfft is a power of 2.

• Nfft results in a maximum occupancy of 85%. The actual occupancy is equal to carrier.NSizeGrid*12/Nfft.

Plot Bandwidth Occupancy

Create a carrier configuration object.

carrier = nrCarrierConfig;

Calculate the actual occupancy equal to carrier.NSizeGrid*12/Nfft for all NSizeGrid values.

nSizeGrids = 1:275;
defaultOccupancy = zeros(1,275);
for nSizeGrid = nSizeGrids    
    carrier.NSizeGrid = nSizeGrid;
    ofdmInfo = nrOFDMInfo(carrier);        
    defaultOccupancy(nSizeGrid) = carrier.NSizeGrid*12/ofdmInfo.Nfft;    
end

Plot the actual occupancy. Highlight the occupancy for NSizeGrid values 52, 106, 160, and 216.

figure;
plot(nSizeGrids,defaultOccupancy,'x');
hold on;
typicalNSizeGrids = [52 106 160 216];
plot(typicalNSizeGrids,defaultOccupancy(typicalNSizeGrids),'ro','MarkerFaceColor','r');
title('Bandwidth Occupancy for Default Sample Rate and Default FFT Size');
axis([1 275 0 1]);
xlabel('NSizeGrid');
xticks([1 typicalNSizeGrids 275]);
ylabel('Bandwidth Occupancy (NSizeGrid*12/Nfft)');

Ignore the smallest NSizeGrid values.

defaultOccupancy(1:5) = NaN;

Find the minimum occupancy and the corresponding NSizeGrid value.

[occupancyMin,nSizeGridMin] = min(defaultOccupancy)

occupancyMin = 
0.4277

nSizeGridMin = 
73

Find the maximum occupancy and the corresponding NSizeGrid value.

[occupancyMax,nSizeGridMax] = max(defaultOccupancy)

occupancyMax = 
0.8496

nSizeGridMax = 
145