how to use matched filter to compute SINR for communication users , given the information bellow
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SINR = wc(HBR'*ome'*h_RU+h_BU)*(h_RU'*ome*HBR+h_BU')*wc' / ws(HBR'*ome'*h_RU+h_BU)*(h_RU'*ome*HBR+h_BU')*ws + sigma2
where
wc is the communication beamformer
ws is the sensing beamformer
HBR the channel between BS and RIS
h_RU the channel between RIS and UE
h_BU the channel between BS and UE
ome is the RIS phase shift
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Yash
il 27 Giu 2023
You can refer to the following code for the implementation.
% Generate the transmitted signal using the communication beamformer
s_t = wc*(HBR'*ome'*h_RU + h_BU)*(h_RU'*ome*HBR + h_BU')*wc';
% Add noise to the transmitted signal
r_target = awgn(s_t, sigma2);
% Apply the matched filter using the sensing beamformer
template = conj(ws*(HBR'*ome'*h_RU + h_BU));
filtered_signal = conv(r_target, template, 'same');
% Compute the numerator and denominator of the SINR equation
numerator = wc*(HBR'*ome'*h_RU + h_BU)*(h_RU'*ome*HBR + h_BU')*wc';
denominator = ws*(HBR'*ome'*h_RU + h_BU)*(h_RU'*ome*HBR + h_BU')*ws';
% Compute the SINR
SINR = abs(filtered_signal).^2 ./ (denominator + var(filtered_signal) - abs(numerator).^2 ./ (denominator + var(r_target)));
% End of code
You may need to change some parameters to values that are relevant to your model.
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