1. Lab 2 Sampling and Quantization

2. Communication System

3. Sampling Sampling is converting the message signal to samples
Analog signal is sampled every TS seconds.
Ts is referred to as the sampling interval.
fs = 1/Ts is called the sampling rate or sampling frequency.

4. fS>2W
m(t)
t (sec)
TS=1/fS
M(f)
LPF
-fS-W
-fS
-fS+W -W W
fS-W fS
fS+W
f (Hz)
fcutoff
By using a LPF at the receiver, it is possible to reconstruct the original signal from received samples

5. fS=2W (Nyquist Rate)
m(t)
t (sec)
TS=1/fS
M(f)
LPF
-3W
-fS=-2W -W W
fS=2W 3W
f (Hz)
fcutoff
By using a LPF with fcutoff=W at the receiver, it is possible to reconstruct the original signal from received samples

6. fS<2W
m(t)
t (sec)
TS=1/fS
M(f)
-fS-W
-fS -W
-fS+W
fS-W W fS
fS+W
f (Hz)
It is no longer possible to reconstruct the original signal from received samples

7. Impulse Sampling with Increasing Sampling Frequency

8. Task 1 Generating the Analog Signal
Plot the following analog signal
x (t ) = sin( 0 .2π t ) + sin( 0 .4 π t )

9. Task 2 Sampling
Sample the signal x(t) by taking 1 sample every 10 samples