GMSK Waveform Generator
Standard: Gaussian Minimum Shift Keying
Step 1: Original Message Bits
Step 2: NRZ Encoding
$m(t) = \sum a_n \cdot rect(t-nT)$
$m(t) = \sum a_n \cdot rect(t-nT)$
Step 3: Filtered Signal Plot: Gaussian Pulse Shaping
$g(t) = m(t) * h_{gauss}(t)$
$g(t) = m(t) * h_{gauss}(t)$
Step 4: Carrier Plot:
$s(t) = \cos(2\pi f_c t)$
$s(t) = \cos(2\pi f_c t)$
Step 5: Smooth Phase Trajectory
$\phi(t) = 2\pi h \int g(\tau) d\tau$
$\phi(t) = 2\pi h \int g(\tau) d\tau$
Step 6: GMSK Carrier Waveform
$s(t) = \cos(2\pi f_c t + \phi(t))$
$s(t) = \cos(2\pi f_c t + \phi(t))$
Step 6: GMSK Carrier Waveform
$s(t) = \cos(2\pi f_c t + \phi(t))$
$s(t) = \cos(2\pi f_c t + \phi(t))$