CVX optimization problem, radar signal( Golden code)

2017 4 7
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更新时间：2019 4 22
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Hi there, I have a problem for optimizing sidelobes of Golden code-127 after mismatched filter.
I have just 3 constraints.
first one to neglect trivial solution( work well).
The second for optimizaing sidelobe(work well).
the last one to maintain Loss in Power Gain (LPG) at somepoint.
if I comment the last constrain it gives me signal with sidelobe reduced by 1 dB.
if I put it, it gives me unfeasible solution. where is the mistake??
cvx_begin
variables q(127,1) t
minimize t
subject to
(s'*q)==(s'*s);
for i=1:length(x_new1(:,1))
(q'*(x_new1(i)')*(x_new1(i))*q)<=t;
end
q'*q <=alpha*(s)*s' ;
cvx_end;

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