15.3 DIGITAL COMMUNICATION SYSTEMS 727
t
0
Digital signal d(t)
Phase of si(t)
(a)
(b)
0
0
π
−
+
π
Initial level
11100001 1 110 0
Example digital bit sequence
1
− 1
t
t
t
t
a(t − Tb)
Phase of si(t − Tb)
Sign of sd(t)
1
− 1
t
a(t)
1
− 1
Figure 15.3.18(a) Example sequence
of message binary digits and modulator
waveforms in DPSK.(b)Phase and polar-
ity relationships as applied to DPSK mes-
sage recovery.
Sampler
Sample at time Tb for bit interval 0 < t ≤ Tb
A cos (ω 1 t + φ 1 )
A cos (ω 2 t + φ 2 ) ≥ 0 choose 1
< 0 choose 0
Σ
+
−
Σ
+
+
D
∫ (.) dt
∫ (.) dt
Digitalsignal d(t) VCO
Broad-band system noise
Modulator Channel Demodulator and code generator of receiver
sFSK(t) sR(t)
R
Tb
0
Tb
0
Figure 15.3.19Functions of a coherent FSK system.