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How can I replace System Toolbox, like phased.ULA() and phased.Pha​seShiftBea​mformer(), by pure Matlab code?

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Hi, everyone!
I'm doing a Matlab project, the aim of this project is to remove system toolbox, only use pure Matlab code. there are two system toolbox, I have no idea how to replace them. I pasted the code below:
clear all;
retVal = 1.0e+03 * [
3.5040 - 0.0300i, 3.6100 + 2.9130i;
-0.6230 + 0.0330i, -1.0960 + 1.2770i;
1.6360 - 1.1560i, 2.4620 + 2.2290i;
4.4610 + 2.9620i, 3.8240 + 6.1530i
];
c=3e8;
fc=77e9;
lambda=c/fc;
Ne = 4;
rxArray = phased.ULA('NumElements',Ne,'ElementSpacing',lambda/2);
% Form forward-facing beam
beamformer = phased.PhaseShiftBeamformer('SensorArray',rxArray,...
'PropagationSpeed',c,'OperatingFrequency',fc,'Direction',[0;0]);
% Beamform received data
Xbf = beamformer(retVal');
disp(Xbf);
I want to remove phased.ULA() and phased.PhaseShiftBeamformer(), and rewrite them with only pure Matlab code. I would greatly appreciate it if anyone can help? I have write some code to replace phased.ULA(), I pasted below:
clear all;
% Provided data
retVal = 1.0e+03 * [
3.5040 - 0.0300i, 3.6100 + 2.9130i;
-0.6230 + 0.0330i, -1.0960 + 1.2770i;
1.6360 - 1.1560i, 2.4620 + 2.2290i;
4.4610 + 2.9620i, 3.8240 + 6.1530i
];
c = 3e8;
fc = 77e9;
lambda = c / fc;
Ne = 4;
% Manually simulate ULA array response
theta = 0:pi/180:2*pi; % Angle range
element_positions = zeros(3, Ne);
for n = 1:Ne
element_positions(1, n) = 0; % x-coordinate
element_positions(2, n) = (n - (Ne+1)/2) * lambda/2; % y-coordinate
element_positions(3, n) = 0; % z-coordinate
end
Until now, I have no idea how to continue replacing phased.PhaseShiftBeamformer().

Risposte (1)

Sarthak
Sarthak il 21 Dic 2023
Hi Weichun,
The phased.PhaseShiftBeamformer object implements a narrowband phase-shift beamformer. If you want to implement this with only MATLAB code; you can go through the following paper by IEEE.
They have explained the design for a narrowband phase-shift beamformer step by step and all results were generated in MATLAB. I think this should help you rewrite phased.PhaseShiftBeamformer in MATLAB.

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R2023b

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