rxx_uniform.m

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function result = Rxx_uniform(d_norm,phi_0_deg,AS_deg)
% result = Rxx_uniform(d_norm,phi_0_deg,AS_deg)
%
% Computes the correlation of the real/imaginary parts of the
% signals in the case of a uniform Power Azimuth Spectrum (PAS) at
% spacings given by d_norm. The PAS is characterised by the Angle
% Of Arrival (AOA) phi_0_deg and by its Azimuth Spread (AS) AS_deg.
%
%
% 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
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% sustained by persons or property or otherwise; and whether or not
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% item, or any services that may be provided by CSys.
%
% (c) Laurent Schumacher, AAU/TKN/I8/KOM/CPK/CSys - July 2001

D                     = 2.*pi.*d_norm;
% Conversion degree -> radian
phi_0_rad             = phi_0_deg*(pi/180);
AS_rad                = AS_deg*(pi/180);
% Relation between AS and limits phi_0 +/- delta_phi
delta_phi_uniform_rad = AS_rad*sqrt(3);

m              = 0;
result         = zeros(size(D));
tmp_xx_uniform = ones(size(D));
while (m < 100)
    m              = m + 1;
    tmp_xx_uniform = 2.*besselj(2*m,D).*sin(2*m* ...
					    delta_phi_uniform_rad) ...
	                              .*cos(2*m*phi_0_rad)./m;
    result         = result + tmp_xx_uniform;
end;