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29

It can be rewritten because Eb = P / Rb where Rb= bit rate and Nj = J/W. This can be tested by

running a simulation and calculating the BER for various ρ against Eb/Nj. This can be seen in

Figure 14 below:

BER vs. Eb/Nj for Pulsed Noise Jamming

10-1

theory simulation

10-2

Worst-Case

10-3

BER

10-4

10-5

10-6

10-7

ρ = 0.2

ρ = 0.008

ρ = 0.00032

ρ = 1.0

ρ = 0.04

ρ = 0.0016

10-8

0

5

10

15

20

25 Eb/Nj (dB)

30

35

40

45

50

Figure 14 Worst-Case Jamming for Pulsed Noise in DSSS

The worst-case can be approximated by the think black line is tangent to the curves of the

various ρ values. Figure 14 shows that the optimal jamming duty cycle is dependent on the Eb/Nj

of the transmitted signal. Assuming the Eb/Nj is at least 0.709, the worst-case line can be

approximated by the following equation (see [26] for math):

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