beamformer response (beampattern)

I have a mat file with a size of 2000. The first 1000 data contain training data. Whereas the last 1000 contain recorded during the emission of a real-valued desired signal as well as another interference signal whose statistics are the same as that from the training period. How can I retrive the original data from that file?? Because I want to use MATLAB to implement a beamformer whose output is an estimate of the desired signal.

Answer 1

[Ayush]

Hi Noor,

I understand that you want to retrieve the original signal from the data, which is interference with the signal with the same statistics as that from the training period, to implement a beamformer.

You can make use of the minimum variance distortion-less response (MVDR) beamformer or the linearly constrained minimum variance (LCMV) beamformer. The functions for the same are “phased.MVDRbeamformer” and “phased.LCMVBeamformer”. Refer the pseudo code below for better understanding:

trainingData = data(1:1000, :); % Extract the first 1000 data points for training  
recordedData = data(1001:2000, :); % Extract the last 1000 data points for recorded signals 
beamformer = phased.MVDRBeamformer('SensorArray',trainingData); % Pass the training data through the function. You can change the parameters as per the requirements. 
[y,w] = beamformer(recordedData); % Pass the recorded data through the beamformer weights.

For more information on the “phased.MVDRbeamformer” and “phased.LCMVBeamformer” functions, you can refer the documentation below:

• “phased.MVDRbeamformer” : https://www.mathworks.com/help/phased/ref/phased.mvdrbeamformer-system-object.html
• “phased.LCMVBeamformer” : https://www.mathworks.com/help/phased/ref/phased.lcmvbeamformer-system-object.html

Regards,

Ayush