Configuring the internal baseband source
R&S
®
SMM100A
141
User Manual 1179.1341.02 ─ 05
Example: Differential coding for QPSK modulation with K = 2 bit/symbol
Decimal display; the value range for modulation symbols is
a
n
= {0, 1, 2, 3}
According to
and for
k = 2
, the recursive coding is defined as
b
n
= (a
n
+ b
–1
)
modulo 4
Depending on the state of a preceding modulation symbol
b
–1
, the coded modulation
symbol
b
n
is obtained, for example, from modulation symbol
a
n
= 2
as follows:
b
–1
0
1
2
3
b
n
2
3
0
1
With differential coding, the assignment of modulation symbols a
n
(binary indication:
MSB, LSB) to the phase differences shown in the following table is generated:
Table 4-9: Phase difference for QPSK
Modulation symbol a
n
00
01
10
11
Phase difference
0°
90°
180°
270°
Example: Differential coding for modulation type pi/4DQPSK
With differential coding switched on at the same time, the obtained constellation dia-
gram for pi/4DQPSK is similar to that of 8PSK. Phase shifts are however assigned to
the individual modulation symbols. The
shows the assignment of modula-
tion symbols a
n
(binary indication: MSB, LSB) to phase shifts of the I/Q vector in rela-
tion to the selected coding.
Table 4-10: Phase shifts for pi/4DQPSK
Modulation symbol a
n
00
01
10
11
"Coding = Off"
+ 45°
+ 135°
- 135°
- 45°
"Coding = NADC, PDC, PHS, TETRA, or APCO25
(PSK)"
+ 45°
+ 135°
- 45°
- 135°
"Coding = TFTS"
- 135°
+ 135°
- 45°
+ 45°
Example: Gray and differential coding for 8PSK modulation
When this coding scheme is used, the gray coding according to the gray code is per-
formed before the differential coding. The later uses the recursive coding algorithm
quoted above (see
). The assignment of modulation symbols a
n
(binary indi-
cation: MSB, LSB) to the phase differences shown in the following table is generated:
Table 4-11: Differential coding according to VDL
1)
Modulation symbol d
n
000
001
010
011
100
101
110
111
Phase difference
0°
45°
135°
90°
270°
315°
225°
180°
1)
"Differential coding according to VDL" can be used for modulation types with 3 bits/
symbol, e.g. 8PSK.
Generating custom digital modulated signals