This example shows how to beamform an IEEE® 802.11ad™ DMG waveform with a phased array using WLAN Toolbox™ and Phased Array System Toolbox™.
IEEE 802.11ad [ 1 ] defines the directional multi-gigabit (DMG) transmission format operating at 60 GHz. To overcome the large path loss experienced at 60 GHz, the IEEE 802.11ad standard is designed to support directional beamforming. By using phased antenna arrays you can apply an antenna weight vector (AWV) to focus the antenna pattern in the desired direction. Each packet is transmitted on all array elements, but the AWV applies a phase shift to each element to steer the transmission. The quality of a communication link can be improved by appending optional training fields to DMG packets, and testing different AWVs at the transmitter or receiver. This process is called beam refinement.
A DMG packet consists of the following fields:
STF - The short training field, which is used for synchronization.
CE - Channel estimation field, which is used for channel estimation.
Header - The signaling field, which the receiver decodes to determine transmission parameters.
Data - The data field, which carries the user data payload.
AGC Subfields - Optional automatic gain control (AGC) subfields, used for beam refinement.
Training Subfields - Optional training subfields, used for beam refinement.
The STF and CE fields form the preamble. The preamble, header, and data fields of a DMG packet are transmitted with the same AWV. For transmitter beam refinement training, up to 64 training (TRN) subfields can be appended to the packet. Each TRN subfield is transmitted using a different AWV. This allows the performance of up to 64 different AWVs to be measured, and the AWV for the preamble, header, and data fields to be refined for subsequent transmissions. CE subfields are periodically transmitted, one for every four TRN subfields, amongst the TRN subfields. Each CE subfield is transmitted using the same AWV as the preamble. To allow the receiver to reconfigure AGC before receiving the TRN subfields, the TRN subfields are preceded by AGC subfields. For each TRN subfield, an AGC subfield is transmitted using the same AWV applied to the individual TRN subfield. This allows a gain to be set at the receiver, suitable to measuring all TRN subfields. The diagram below shows the packet structure with four AGC and TRN subfields numbered and highlighted. Therefore, four AWVs are tested as part of beam refinement. The same AWVs are applied to AGC and TRN subfields with the same number.
This example simulates transmitter training by applying different AWVs to each of the training subfields to steer the transmission in multiple directions. The strength of each training subfield is evaluated at a receiver by evaluating the far-field plane wave to determine which transmission AWV is optimal. This simulation does not include a channel or path loss.
The waveform is configured for a DMG packet transmission with the orthogonal frequency-division multiplexing (OFDM) physical layer, a 100-byte physical layer service data unit (PSDU), and four transmitter training subfields. The four training subfields allow four AWVs to be tested for beam refinement. Using the function
wlanDMGConfig, create a DMG configuration object. A DMG configuration object specifies transmission parameters.
dmg = wlanDMGConfig; dmg.MCS = 13; % OFDM dmg.TrainingLength = 4; % Use 4 training subfields dmg.PacketType = 'TRN-T'; % Transmitter training dmg.PSDULength = 100; % Bytes
The transmitter antenna pattern is configured as a 16-element uniform linear array with half-wavelength spacing. Using the objects
phased.ULA (Phased Array System Toolbox) and
phased.SteeringVector (Phased Array System Toolbox), create the phased array and the AWVs. The location of the receiver for evaluating the transmission is specified as an offset from the boresight of the transmitter.
receiverAz = 6; % Degrees off the transmitter's boresight
A uniform linear phased array with 16 elements is created to steer the transmission.
N = 16; % Number of elements c = physconst('LightSpeed'); % Propagation speed (m/s) fc = 60.48e9; % Center frequency (Hz) lambda = c/fc; % Wavelength (m) d = lambda/2; % Antenna element spacing (m) TxArray = phased.ULA('NumElements',N,'ElementSpacing',d);
The AWVs are created using a
phased.SteeringVector (Phased Array System Toolbox) object. Five steering angles are specified to create five AWVs, one for the preamble and data fields, and one for each of the four the training subfields. The preamble and data fields are transmitted at boresight. The four training subfields are transmitted at angles around boresight.
% Create a directional steering vector object SteeringVector = phased.SteeringVector('SensorArray',TxArray); % The directional angle for the preamble and data is 0 degrees azimuth, no % elevation, therefore at boresight. [Azimuth; Elevation] preambleDataAngle = [0; 0]; % Each of the four training fields uses a different set of weights to steer % to a slightly different direction. [Azimuth; Elevation] trnAngle = [[-10; 0] [-5; 0] [5; 0] [10; 0]]; % Generate the weights for all of the angles weights = SteeringVector(fc,[preambleDataAngle trnAngle]); % Each row of the AWV is a weight to apply to a different antenna element preambleDataAWV = conj(weights(:,1)); % AWV used for preamble, data and CE fields trnAWV = conj(weights(:,2:end)); % AWV used for each TRN subfield
Using the plotArrayResponse helper function, the array response shows the direction of the receiver is most aligned with the direction of training subfield TRN-SF3.
Use the configured DMG object and a PSDU filled with random data as inputs to the waveform generator,
wlanWaveformGenerator. The waveform generator modulates PSDU bits according to a format configuration and also performs OFDM windowing.
% Create a PSDU of random bits s = rng(0); % Set random seed for repeatable results psdu = randi([0 1],dmg.PSDULength*8,1); % Generate packet tx = wlanWaveformGenerator(psdu,dmg);
phased.Radiator (Phased Array System Toolbox) object is created to apply the AWVs to the waveform, combine the radiated signal from each element to form a plane wave, and determine the plane wave at the angle of interest,
receiverAz. Each portion of the DMG waveform
tx is passed through the Radiator with a specified set of AWVs, and the angle at which to evaluate the plane wave.
Radiator = phased.Radiator; Radiator.Sensor = TxArray; % Use the uniform linear array Radiator.WeightsInputPort = true; % Provide AWV as argument Radiator.OperatingFrequency = fc; % Frequency in Hertz Radiator.CombineRadiatedSignals = true; % Create plane wave % The plane wave is evaluated at a direction relative to the radiator steerAngle = [receiverAz; 0]; % [Azimuth; Elevation] % The beamformed waveform is evaluated as a plane wave at the receiver planeWave = zeros(size(tx)); % Get indices for fields ind = wlanFieldIndices(dmg); % Get the plane wave while applying the AWV to the preamble, header, and data idx = (1:ind.DMGData(2)); planeWave(idx) = Radiator(tx(idx),steerAngle,preambleDataAWV); % Get the plane wave while applying the AWV to the AGC and TRN subfields for i = 1:dmg.TrainingLength % AGC subfields agcsfIdx = ind.DMGAGCSubfields(i,1):ind.DMGAGCSubfields(i,2); planeWave(agcsfIdx) = Radiator(tx(agcsfIdx),steerAngle,trnAWV(:,i)); % TRN subfields trnsfIdx = ind.DMGTRNSubfields(i,1):ind.DMGTRNSubfields(i,2); planeWave(trnsfIdx) = Radiator(tx(trnsfIdx),steerAngle,trnAWV(:,i)); end % Get the plane wave while applying the AWV to the TRN-CE for i = 1:dmg.TrainingLength/4 trnceIdx = ind.DMGTRNCE(i,1):ind.DMGTRNCE(i,2); planeWave(trnceIdx) = Radiator(tx(trnceIdx),steerAngle,preambleDataAWV); end
The helper function plotDMGWaveform plots the magnitude of the beamformed plane wave. When evaluating the magnitude of the beamformed plane wave we can see that the fields beamformed in the direction of the receiver are stronger than other fields.
plotDMGWaveform(planeWave,dmg,'Beamformed Plane Wave with Fields Highlighted'); rng(s); % Restore random state
This example showed how to generate an IEEE 802.11ad DMG waveform and apply AWVs to different portions of the waveform. WLAN Toolbox was used to generate a standard compliant waveform, and Phased Array System Toolbox was used to apply the AWVs and evaluate the magnitude of the resultant plane wave in the direction of a receiver.
This example uses the following helper functions:
IEEE Std 802.11ad™-2012 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 3: Enhancements for Very High Throughput in the 60 GHz Band.