CONSTANT BEAMWIDTH ALONG FREQUENCIES FOR CIRCULAR ARRAY BEAMFORMING

Hello recently, I am working on circular array design and am looking for a code that can implement constant beamwidth along frequencies for Uniform circular array.

In the code below, I tried to use this paper https://israelcohen.com/wp-content/uploads/2018/05/SP_Jan2017.pdf to implement constant beamwidth along frequencies for Uniform linear array, but I found difficulty to continue since I am a biginner in array beamforming design. Any person can help me with the code implementation for constant beamwidth along frequencies for Uniform circular array? It will help me a lot

clear all;

clc;

N = 32;

pos = (0:N-1)*0.5;

f=2;

ang=30;

ang = -90:0.1:90;

c=340;

%tm=(sin(ang).*pos)/c;

%v=cos(2*pi*f*tm)-1i*sin(2*pi*f*tm);

tm=zeros(32, 1801);

for i=1:N

for j=1:1801

tm(i, j)=(sin(ang(j)).*pos(i))/c;

%tm1(i, j)=

end

end

v=cos(2*pi*f*tm)-1i*sin(2*pi*f*tm);

for i=1:N

Weights(i)=1/N;

end

%Weights=Weights';

P=Weights*v;

b_pattern=20*log10(abs(P));

%plcmv = plot(ang,mag2db(abs(P)));

plcmv = plot(ang,b_pattern);