how to use matched filter to compute SINR for communication users , given the information bellow

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

Answer 1

[Yash]

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.

[LoCi]

Thank you