WaveformCommunications

Generate baseband waveforms using the most common pulses and constellations.

Supported pulses: half-sine, cosine, raised cosine, square-root raised cosine, gaussian.

Supported constellations: any PAM, square QAM and PSK constellation, with arbitrary energy per symbol and rotation.

Example

Generate a waveform to transmit 1000 symbols from a 16-QAM modulation, at 100 baud, with symbol energy 2 J, and using half-sine pulses.

1. Instantiate the constellation

using WaveformCommunications

c = qam(M = 16, Es = 2)

2. Generate the pulse function.

Rp = 10  # transmit at 10 baud
p = halfsinepulse(1/Rp)

3. Instantiate the pulse shaper

nsyms = 100   # number of symbols to generate
ps = pulseshaper(c, p, nsyms)

4. Generate and plot the waveform

The waveform can be sampled at any desired rate, and evaluated at any desired time t. Note that the waveform is complex.

fs = 500 # sampling frequency
t = range(0, nsyms/Rp, step=1/fs)
waveform = ps.(t)
plot(t, real(waveform))

5. Plot the eye diagram

The waveform's eye diagram may be plotted by running

ed = eyediag(wf, 1/Rp)

and plotting the columns of ed.