MATLAB Code for Antenna Array Beamforming (Circular Array)
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Resource Overview
MATLAB implementation of beamforming techniques for circular antenna arrays with code examples and algorithm explanations
Detailed Documentation
Below is a MATLAB code example demonstrating beamforming for a circular antenna array:
The code begins by defining fundamental parameters including the number of antenna elements and the radius of the circular array configuration. The algorithm calculates beamforming weights across a specified angular range using phase shifting techniques.
MATLAB implementation:
antenna_num = 8; % Number of antenna elements in the circular array
radius = 1; % Radius of the circular array configuration
theta_min = -pi; % Minimum angle for beam scanning range
theta_max = pi; % Maximum angle for beam scanning range
delta_theta = (theta_max - theta_min) / antenna_num; % Angular step size calculation
weights = zeros(antenna_num, 1); % Initialize beamforming weight vector
The core algorithm computes complex weights for each antenna element based on their spatial positions:
for i = 1:antenna_num
theta = theta_min + (i-1) * delta_theta; % Current azimuth angle
weights(i) = exp(1j * 2 * pi * radius * sin(theta)); % Phase weight calculation using complex exponential
end
Key mathematical operation: The exp(1j*2*pi*radius*sin(theta)) function generates phase shifts that enable beam steering by compensating for wave propagation delays between antenna elements.
disp(weights); % Display computed beamforming weights
This basic implementation demonstrates fundamental circular array beamforming principles. The code can be extended to include additional features such as adaptive beamforming, interference cancellation, and pattern optimization techniques for practical applications.
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