problem 6 6 ofdm simulation 25 points in this problem you will simulat

Question

Problem 6:
6. OFDM Simulation [25 points]
In this problem you will simulate a communication system using OFDM. Start with the simula-
tion sim1.m (on Canvas).
(a) Generate two data waveforms, si(t) and s2(t) with different data streams.
(b) Combine the two streams mixed onto two different carriers at frequency fa = 8 Hz and
fb = 12 Hz.
s(t) = $1(t)√2 cos(2π fat) + s2 (1)√2 cos(27 fit).
(c) Add noise n(t) with signal-to-noise ratio Eb/No = 30 dB.
(d) Before filtering the received signal, mix down to baseband by multiplying by √2 cos(2n fat)
and √2 cos(27 fit).
(e) Filter each of the two signals after mixing down with a matched filter (a filter with the
same impulse response) as used in generate the waveforms, namely a filter with impulse
response pr(t) where T = 1 second./nTurn in the following: (a) Your Matlab code (b) A figure showing the data signal si(t) in the
time domain and S₁(f) in the frequency domain. (c) A figure showing the signal s(t) in the time
and frequency domain. (d) A figure showing the noise signal in the time and frequency domain.
(e) A figure showing the received signal in the time and frequency domain. (f) A figure showing
the output of the receiver filter (time domain and frequency domain) for the first data stream.
Overlay the time domain plot with the original data signal (si(t)). (g) A figure showing the
output of the receiver filter (time domain and frequency domain) for the second data stream.
Overlay the time domain plot with the original data signal (s2(t)).