📄 init_rice.m
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function y = Rice_matrix(K_factor_dB, carrier_frequency_Hz, ...
NumberOfTxAntennas, spacing_Tx, AoD_Tx_rad, ...
NumberOfRxAntennas, spacing_Rx, AoA_Rx_rad)
% function y = Rice_matrix(K_factor_dB, carrier_frequency_Hz, ...
% NumberOfTxAntennas, spacing_Tx, AoD_Tx_rad, ...
% NumberOfRxAntennas, spacing_Rx, AoA_Rx_rad)
%
% Computes the Rice steering matrix as described in Appendix B of
% 3GPP document R1-01-1179.
%
% Inputs
%
% * Variable K_factor_dB, Rice factor in dB
% * Variable carrier_frequency_Hz, carrier frequency in Hz
% * Variable NumberOfTxAntennas, number of antenna elements of
% the Uniform Linear Array (ULA) at Tx
% * Variable spacing_Tx, spacing of the antenna elements of
% the ULA at Tx
% * Variable AoD_Tx_rad, angle of departure of the waves at Tx
% * Variable NumberOfRxAntennas, number of antenna elements of
% at Rx
% * Variable spacing_Rx, sapcing of the antenna elements of
% the ULA at Rx
% * Variable AoA_Rx_rad, angle of arrival of the waves at Rx
%
% Output
%
% A 3-D matrix of size NumberOfPaths x NumberOfRxAntennas
% x NumberOfTxAntennas whose elements are the product of the phasors
% related to the elements of two ULAs, one at Tx and one at Rx, under
% incidence angles AoD_Tx_rad and AoA_Rx_rad respectively. Each of
% the NumberOfPaths 2-D submatrices is weighted by the associated
% K factor of the path.
%
%
% STANDARD DISCLAIMER
%
% CSys is furnishing this item "as is". CSys does not provide any
% warranty of the item whatsoever, whether express, implied, or
% statutory, including, but not limited to, any warranty of
% merchantability or fitness for a particular purpose or any
% warranty that the contents of the item will be error-free.
%
% In no respect shall CSys incur any liability for any damages,
% including, but limited to, direct, indirect, special, or
% consequential damages arising out of, resulting from, or any way
% connected to the use of the item, whether or not based upon
% warranty, contract, tort, or otherwise; whether or not injury was
% sustained by persons or property or otherwise; and whether or not
% loss was sustained from, or arose out of, the results of, the
% item, or any services that may be provided by CSys.
%
% (c) Laurent Schumacher, AAU-TKN/IES/KOM/CPK/CSys - February 2002
wavelength_m = 3e8/carrier_frequency_Hz;
y = zeros(size(K_factor_dB,2), NumberOfRxAntennas, NumberOfTxAntennas);
for ii=1:size(K_factor_dB,2)
K = 10^(.1*K_factor_dB(ii));
step_Tx = exp(j*2*pi*spacing_Tx*sin(AoD_Tx_rad(ii))/wavelength_m);
vector_Tx = step_Tx.^(0:NumberOfTxAntennas-1);
step_Rx = exp(j*2*pi*spacing_Rx*sin(AoA_Rx_rad(ii))/wavelength_m);
vector_Rx = step_Rx.^((0:NumberOfRxAntennas-1).');
y(ii,:,:) = sqrt(K).*(vector_Rx * vector_Tx);
end;
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