This example shows how to measure the packet error rate of an IEEE® 802.11ac™ VHT link using an end-to-end simulation with a fading TGac channel model and additive white Gaussian noise.
In this example an end-to-end simulation is used to determine the packet error rate for an 802.11ac [ 1 ] VHT link with a fading channel at a selection of SNR points. At each SNR point multiple packets are transmitted through a channel, demodulated and the PSDUs recovered. The PSDUs are compared to those transmitted to determine the number of packet errors and hence the packet error rate. Packet detection, timing synchronization, carrier frequency offset correction and phase tracking are performed by the receiver. The processing for each packet is summarized in the following
This example also demonstrates how a parfor loop can be used instead of the for loop when simulating each SNR point to speed up a simulation. parfor, as part of the Parallel Computing Toolbox™, executes processing for each SNR in parallel to reduce the total simulation time.
An 802.11ac VHT transmission is simulated in this example. A VHT format configuration object contains the format specific configuration of the transmission. The object is created using the wlanVHTConfig function. The properties of the object contain the configuration. In this example the object is configured for a 80 MHz channel bandwidth, 8 transmit antennas, 8 space-time streams, no space time block coding and 256-QAM rate-5/6 (MCS 9).
% Create a format configuration object for a 8-by-8 VHT transmission cfgVHT = wlanVHTConfig; cfgVHT.ChannelBandwidth = 'CBW80'; % 80 MHz channel bandwidth cfgVHT.NumTransmitAntennas = 8; % 8 transmit antennas cfgVHT.NumSpaceTimeStreams = 8; % 8 space-time streams cfgVHT.APEPLength = 3000; % APEP length in bytes cfgVHT.MCS = 9; % 256-QAM rate-5/6
In this example a TGac N-LOS channel model is used with delay profile Model-D. For Model-D when the distance between transmitter and receiver is greater than or equal to 10 meters, the model is NLOS. This is described further in wlanTGacChannel. An 8x8 MIMO channel is simulated in this example therefore 8 receive antennas are specified.
% Create and configure the channel tgacChannel = wlanTGacChannel; tgacChannel.DelayProfile = 'Model-D'; tgacChannel.NumReceiveAntennas = 8; tgacChannel.TransmitReceiveDistance = 10; % Distance in meters for NLOS tgacChannel.ChannelBandwidth = cfgVHT.ChannelBandwidth; tgacChannel.NumTransmitAntennas = cfgVHT.NumTransmitAntennas; tgacChannel.LargeScaleFadingEffect = 'None';
For each SNR point in the vector
snr a number of packets are generated, passed through a channel and demodulated to determine the packet error rate.
snr = 40:5:50;
The number of packets tested at each SNR point is controlled by two parameters:
maxNumErrors is the maximum number of packet errors simulated at each SNR point. When the number of packet errors reaches this limit, the simulation at this SNR point is complete.
maxNumPackets is the maximum number of packets simulated at each SNR point and limits the length of the simulation if the packet error limit is not reached.
The numbers chosen in this example will lead to a very short simulation. For meaningful results we recommend increasing the numbers.
maxNumErrors = 10; % The maximum number of packet errors at an SNR point maxNumPackets = 100; % Maximum number of packets at an SNR point
Set the remaining variables for the simulation.
% Get the baseband sampling rate fs = helperSampleRate(cfgVHT); % Get the number of occupied subcarriers in VHT fields and FFT length [vhtData,vhtPilots] = helperSubcarrierIndices(cfgVHT,'VHT'); Nst_vht = numel(vhtData)+numel(vhtPilots); Nfft = helperFFTLength(cfgVHT); % FFT length % Set the sampling rate of the channel tgacChannel.SampleRate = fs; % Indices for accessing each field within the time-domain packet ind = wlanFieldIndices(cfgVHT); rng(1); % Set random state for repeatability
For each SNR point a number of packets are tested and the packet error rate calculated.
For each packet the following processing steps occur:
A PSDU is created and encoded to create a single packet waveform.
The waveform is passed through a different realization of the TGac channel model.
AWGN is added to the received waveform to create the desired average SNR per subcarrier after OFDM demodulation. comm.AWGNChannel is configured to provide the correct SNR. The configuration accounts for normalization within the channel by the number of receive antennas, and the noise energy in unused subcarriers which are removed during OFDM demodulation.
The packet is detected.
Coarse carrier frequency offset is estimated and corrected.
Fine timing synchronization is established. The L-STF, L-LTF and L-SIG samples are provided for fine timing to allow for packet detection at the start or end of the L-STF.
Fine carrier frequency offset is estimated and corrected.
The VHT-LTF is extracted from the synchronized received waveform. The VHT-LTF is OFDM demodulated and channel estimation is performed.
The VHT Data field is extracted from the synchronized received waveform. The PSDU is recovered using the extracted field and the channel estimate.
A parfor loop can be used to parallelize processing of the SNR points, therefore for each SNR point an AWGN channel is created and configured with comm.AWGNChannel. To enable the use of parallel computing for increased speed comment out the 'for' statement and uncomment the 'parfor' statement below.
S = numel(snr); packetErrorRate = zeros(S,1); %parfor i = 1:S % Use 'parfor' to speed up the simulation for i = 1:S % Use 'for' to debug the simulation % Create an instance of the AWGN channel per SNR point simulated awgnChannel = comm.AWGNChannel; awgnChannel.NoiseMethod = 'Signal to noise ratio (SNR)'; % Normalization awgnChannel.SignalPower = 1/tgacChannel.NumReceiveAntennas; % Account for energy in nulls awgnChannel.SNR = snr(i)-10*log10(Nfft/Nst_vht); % Loop to simulate multiple packets numPacketErrors = 0; numPkt = 1; % Index of packet transmitted while numPacketErrors<=maxNumErrors && numPkt<=maxNumPackets % Generate a packet waveform txPSDU = randi([0 1],cfgVHT.PSDULength*8,1); % PSDULength in bytes tx = wlanWaveformGenerator(txPSDU,cfgVHT); % Add trailing zeros to allow for channel delay tx = [tx; zeros(50,cfgVHT.NumTransmitAntennas)]; %#ok<AGROW> % Pass through channel fading channel model rx = tgacChannel(tx); % Reset channel to create a different realization reset(tgacChannel); % Add noise rx = awgnChannel(rx); % Packet detect pktOffset = wlanPacketDetect(rx,cfgVHT.ChannelBandwidth); if isempty(pktOffset) % If empty no L-STF detected; packet error numPacketErrors = numPacketErrors+1; numPkt = numPkt+1; continue; % Go to next loop iteration end % Extract L-STF and perform coarse frequency offset correction lstf = rx(pktOffset+(ind.LSTF(1):ind.LSTF(2)),:); coarseFreqOff = wlanCoarseCFOEstimate(lstf,cfgVHT.ChannelBandwidth); rx = helperFrequencyOffset(rx,fs,-coarseFreqOff); % Extract the Non-HT fields and determine start of L-LTF nonhtfields = rx(pktOffset+(ind.LSTF(1):ind.LSIG(2)),:); lltfIdx = helperSymbolTiming(nonhtfields,cfgVHT.ChannelBandwidth); % Synchronize the received waveform given the offset between the % expected start of the L-LTF and actual start of L-LTF pktOffset = pktOffset+lltfIdx-double(ind.LLTF(1)); % If no L-LTF detected or if packet detected outwith the range of % expected delays from the channel modeling; packet error if isempty(lltfIdx) || pktOffset<0 || pktOffset>50 numPacketErrors = numPacketErrors+1; numPkt = numPkt+1; continue; % Go to next loop iteration end rx = rx(1+pktOffset:end,:); % Extract L-LTF and perform fine frequency offset correction lltf = rx(ind.LLTF(1):ind.LLTF(2),:); fineFreqOff = wlanFineCFOEstimate(lltf,cfgVHT.ChannelBandwidth); rx = helperFrequencyOffset(rx,fs,-fineFreqOff); % Estimate noise power in VHT fields lltf = rx(ind.LLTF(1):ind.LLTF(2),:); demodLLTF = wlanLLTFDemodulate(lltf,cfgVHT.ChannelBandwidth); nVarVHT = helperNoiseEstimate(demodLLTF,cfgVHT.ChannelBandwidth, ... cfgVHT.NumSpaceTimeStreams); % Extract VHT-LTF samples from the waveform, demodulate and perform % channel estimation vhtltf = rx(ind.VHTLTF(1):ind.VHTLTF(2),:); vhtltfDemod = wlanVHTLTFDemodulate(vhtltf,cfgVHT); chanEst = wlanVHTLTFChannelEstimate(vhtltfDemod,cfgVHT); % Recover the transmitted PSDU in VHT Data % Extract VHT Data samples from the waveform and recover the PSDU vhtdata = rx(ind.VHTData(1):ind.VHTData(2),:); rxPSDU = wlanVHTDataRecover(vhtdata,chanEst,nVarVHT,cfgVHT); % Determine if any bits are in error, i.e. a packet error packetError = any(biterr(txPSDU,rxPSDU)); numPacketErrors = numPacketErrors+packetError; numPkt = numPkt+1; end % Calculate packet error rate (PER) at SNR point packetErrorRate(i) = numPacketErrors/(numPkt-1); disp(['SNR ' num2str(snr(i)) ' completed after ' ... num2str(numPkt-1) ' packets, PER: ' ... num2str(packetErrorRate(i))]); end
SNR 40 completed after 11 packets, PER: 1 SNR 45 completed after 21 packets, PER: 0.52381 SNR 50 completed after 100 packets, PER: 0.04
figure semilogy(snr,packetErrorRate,'-ob'); grid on; xlabel('SNR (dB)'); ylabel('PER'); title('802.11ac 80MHz, MCS9, Direct Mapping, 8x8 Channel Model D-NLOS');
The number of packets tested at each SNR point is controlled by two parameters;
maxNumPackets. For meaningful results it is recommend that these values should be larger than those presented in this example. Increasing the number of packets simulated allows the PER under different scenarios to be compared. Try changing the transmission and reception configurations and compare the packet error rate. As an example, the figure below was created by running the example for longer.
This example uses the following helper functions:
IEEE Std 802.11ac™-2013 IEEE Standard for Information technology - Telecommunications and information exchange between systems - Local and metropolitan area networks - Specific requirements - Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) Specifications - Amendment 4: Enhancements for Very High Throughput for Operation in Bands below 6 GHz.