Please how do you write a code to sample a given complex exponential sinusoid (exp(j*phi(nTs)),given that n=0.....N-1.Given also that i have already generated 10000 discrete sample of phi_t .

Please how do you write a code to sample a given complex exponential sinusoid (exp(j*phi(nTs)),given that n=0.....N-1.Given also that i have already generated 10000 discrete sample of phi_t .N=64 and Ts=5microseconds.

Answer 1

[Wayne King]

If you already have the vector phi just evalute phi at your t points.

    Ts = 5e-6;
    t = 0:Ts:(64*Ts);
    phi = 2*pi*100*t.^2+2*pi*50e4*t;
    x = exp(1j*phi);

[Emmanuel]

Thanks Wayne..I really appreciate your reply!

[Emmanuel]

 for i=1:10000
dW = sqrt(var)*((randn(1,N)));
phi= [0,cumsum(dW)];
phi_t=2*pi*phi;
c_t=exp(j*phi_t);
    phi_nTs_cum=phi_t(1:64);
    c_t_sampled=exp(j*phi_nTs_cum);
end.
This was what i implemented could you check if i am correct.i just want 64 samples of phi_t every symbol duration after every loop.i am sceptical because i did not use the symbol duration in my code.please help?