Hilbert Transform / Analytic Signal / I-Q Simulator
1. Hilbert Transform
m(t) = cos(2π fₘ t)
m̂(t) = Hilbert{m(t)}
2. Analytic Signal
mₐ(t) = m(t) + j m̂(t)
Envelope = |mₐ(t)|
3. I/Q Modulation
s(t) = I(t)cos(ωₙt) − Q(t)sin(ωₙt)
I(t) = m(t)
Q(t) = m̂(t)
4. SSB
USB = m(t)cos(ωₙt) − m̂(t)sin(ωₙt)
LSB = m(t)cos(ωₙt) + m̂(t)sin(ωₙt)