Performance Analysis of a JTIDS/Link-16-type Waveform ...

P s
10 0
10 -1
10 -2
10 -3
10 -4
10 -5
10 -6
10 -7
10 -8
ρ 1 = 1, SP
ρ 1 = 0.5, SP
ρ 1 = 0.3, SP
ρ 1 = 0.2, SP
ρ 1 = 0.1, SP
ρ 1 = 1, DP
10
0 2 4 6 8 10 12 14 16 18 20 22 24
-9
E /N (dB)
b′ I
Fig. 8. Probability of symbol error of a JTIDS/Link-16-type waveform for the
single-pulse structure (in both AWGN and PNI) and the double-pulse
structure (in both AWGN and BNI) transmitted over a slow, flat Nakagami
fading channel where ' 0 10
b
E N = dB and m = 2.
From Figures 7 and 8, several observations can be made
when compared to Figures 5 and 6, respectively. First, as
expected, similar results but poorer performances are observed
for smaller m. Second, for a fixed Eb ' N 0 , the double-pulse
structure outperforms the single-pulse structure by a greater
margin for smaller m . For example, in Figure 7 where m = 2 ,
for ρ 1 = 1 , the double-pulse structure outperforms the single-
−5
pulse structure by 4.1 dB at PS
= 10 , while in Figure 5
where m →∞, for ρ 1 = 1 , the double-pulse structure
−5
outperforms the single-pulse structure by 3.4 dB at PS
= 10 .
Lastly, the double-pulse structure outperforms the single-pulse
E N decreases. For
structure by a greater margin as b ' 0
example, in Figure 7 where b'
0
E N = 15 dB, the double-pulse
structure outperforms the single-pulse structure by 4.1 dB for
ρ 1 = 1 at PS
−5
= 10 , while in Figure 8 where Eb ' N 0 is
reduced to 10 dB, the double-pulse structure outperforms the
single-pulse structure by 6.5 dB for ρ 1 = 1 at PS
−5
= 10 .
V. CONCLUSION
In this paper, the probability of symbol error of a
JTIDS/Link-16-type waveform for the single-pulse structure
(in both AWGN and PNI) and the double-pulse structure (in
both AWGN and BNI) transmitted over a slow, flat Nakagami
fading channel is investigated. Several conclusions can be
drawn as follows. First, the double-pulse structure always
outperforms the single-pulse structure whether the PNI is
present or not and whether the channel is fading or not.
Second, for the single-pulse structure, the value of ρ 1 that
maximizes the probability of symbol error decreases as
E N increases; that is, BNI has the most effect in
b'I degrading performance when b'I E N is small. When Eb'N I
is large, PNI with a smaller fraction of time that interference is
on causes the greatest degradation, whether the channel is
fading or not. Third, when PNI is present in channels with no
fading, the double-pulse structure always outperforms the
single-pulse structure, whether b ' 0
E N is large or small.
Fourth, when the JTIDS signal is transmitted over a slow, flat
Nakagami fading channel, the double-pulse structure
outperforms the single-pulse structure by a greater margin for
a smaller value of m when b ' 0
E N is fixed. Lastly, for a
fixed value of ρ 1 , the double-pulse structure outperforms the
single-pulse structure by a greater margin for decreasing
E N , whether the channel is fading or not.
b ' 0
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