Hi!
Does any one knows a function or a way to return the argument of a
sinusoidal function? I have the following code and wanted to operate on the
argument of the cosinus function.
# upchirp carrier
var('t, phi_0, omega_0, omega_1, T')
k = (omega_1 - omega_0)/T; k
# linear chirp signal (waveform)
s1 = cos(phi_0 + k*t^2/2 + omega_0*t); s1
arg(s1)
omega = derivative(arg(s1), t); omega
Sagemath returns:
(t, phi_0, omega_0, omega_1, T)-(omega_0 - omega_1)/Tcos(omega_0*t -
1/2*(omega_0 - omega_1)*t^2/T + phi_0)
arg(cos(omega_0*t - 1/2*(omega_0 - omega_1)*t^2/T + phi_0))
-(omega_0 - (omega_0 - omega_1)*t/T)*sin(omega_0*t - 1/2*(omega_0 -
omega_1)*t^2/T + phi_0)*D[0](arg)(cos(omega_0*t - 1/2*(omega_0 - omega_1)*t^2/T
+ phi_0))
Cordially,
Joao
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