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1.Name:
2.Name:
Analysis
results &&&& Analysis
results
Project
Project
results
Analysis
Project results
Project
Analysis:
1. Waveform in time domain.
(i)
2ASK
(ii)
2FSK
(iii) 2PSK
(iv)
2DPSK
2. The functional block diagrams of demodulator & expression of observation scalar.
Demodulation of
(Ⅰ)
Functional Block diagram :
coherent 2ASK
Tt=
Decision
device
VT=A2T/4
S tASK )(
T
0
∫ •
)(
dt
cos(
0tw
)
Expression for observation before decision:
V
T
= ∫
0
S
ASK t
( )
cos
tdtω
0
(Ⅱ)
Demodulation of
non-coherent
2ASK
Functional Block diagram :
( )ASKtS
ht
( )
=
2
T
cos(
wt
0
)(0
≤ ≤
t T
)
包络检波
Tt=
判
决
AVT
2
≈
81(
2
σ
+
A
2
1
2
)
Expression for observation before decision:
R
=
2
T
(
⎡
⎢
⎣
S
ASK t
( )
cos
)
t
ω
0
2
+
(
T
∫
0
T
∫
0
S
ASK t
( )
sin
1
2
)
t
ω
0
2
⎤
⎥
⎦
Demodulation of
(Ⅲ)
Functional Block diagram :
coherent 2FSK
FSK tS
( )
cos(
)wt
1
MF w1
LPF
MF w0
cos(
)wt
0
LPF
Expression for observation before decision:
+
−
Tt=
判决
VT=0
V
=
T
∫
0
S
FSK t
( )
cos
tdt
ω
−
1
T
∫
0
S
FSK t
( )
cos
tdt
ω
0
Demodulation of
(Ⅳ)
Functional Block diagram :
non-coherent
2FSK
S tFSK )(
MF
w1
MF w0
Envelope
detection
Envelope
detection
Expression for observation before decision:
+
Tt=
−
Decision
device
VT=0
R
=
2
T
(
⎡
⎢
⎣
T
∫
0
S
FSK t
( )
cos
)
t
ω
1
2
+
(
T
∫
0
S
FSK t
( )
sin
1
2
)
t
ω
1
2
⎤
⎥
⎦
−
2
T
(
⎡
⎢
⎣
T
∫
0
S
FSK t
( )
cos
)
t
ω
0
2
+
(
T
∫
0
S
FSK t
( )
sin
1
2
)
t
ω
0
2
⎤
⎥
⎦
(Ⅴ)
Demodulation of
coherent 2PSK
Functional Block diagram :
s tPSK )(
cos(
0tw
)
T
∫ •
)(
0
Tt=
dt
判决
(VT=0)
Expression for observation before decision:
V
T
= ∫
0
S
PSK t
( )
cos
tdtω
0
DPSK can be viewed as the non-coherent version of PSK;
(Ⅵ)
Demodulation of
2DPSK
Functional Block diagram :
DPSK )(
S t
MF
w0
delayTb
T
∫ •
)(
0
Tt=
dt
判决
VT=0;
Expression for observation before decision:
Tb
V
= ∫
0
S S −
dt
DPSK t DPSK t Tb
)
( )
(
3. Decision results (the relationship between
bP and
/bE N (dB)).
0
(Ⅰ)
Demodulation of
coherent 2ASK (the curves of Pb versus Eb/N)
(Ⅱ)
Demodulation of
non-coherent
2ASK (the curves of Pb versus Eb/N)
(Ⅲ)
Demodulation of
coherent 2FSK (the curves of Pb versus Eb/N)
(Ⅳ)
Demodulation of
non-coherent
2FSK (the curves of Pb versus Eb/N)
(Ⅴ)
Demodulation of
coherent 2PSK (the curves of Pb versus Eb/N)
(Ⅵ)
Demodulation of
coherent DPSK (the curves of Pb versus Eb/N)
4. Performance comparison.
Comparison between simulation results and theoretical value;
(i)
According to the simulation results, probability of bit error of the coherent demodulation derived from the
experiment is nearly the same as the theoretical value except for the non-coherent 2ASK. We also find that
as the number of sequence increased, the experimental value matches the theoretical value more exactly.
In terms of ASK demodulation, it's better to raise the SNR, because small SNR would cause a little