A Chaos-Based Secure Direct-Sequence/Spread-Spectrum Communication System

Table 1

Specific parameters of the simulation system for cases of [𝑁_min,𝑁_max] = [26,36], [21,41], [53,73], [48,78].

Predetermined parameters			Specifications of system			Chosen parameters
							Chaotic map
𝑇𝑐	[𝑁min,𝑁max]	𝑓(⋅)∶𝑥𝑛=𝑓(𝑥𝑛−1); [𝑥min=0,𝑥max=1]	BW	BRav	BER	𝑚	𝐹(⋅)∶𝑋𝑛=𝐹(𝑋𝑛−1); [𝑋min=𝑑,𝑋max=𝑑+1]	𝑑	𝑋0
	[26,36]	Tent map: 𝑥𝑛=20.5−0.5−𝑥𝑛−1		32.25 Kbps	Blue lines in Figure 2(a)	0.1/μs	𝑋𝑛=2|0.5−|0.5−(𝑋𝑛−1−𝑑)|+𝑑|	2.65	2.7
1 μs	[21,41]	Logistic map: 𝑥𝑛=4𝑥𝑛−11−𝑥𝑛−1	1 MHz			0.05/μs	𝑋𝑛=4(𝑋𝑛−1−𝑑)(1−(𝑋𝑛−1−𝑑))+𝑑	1.075	1.1
	[53,73]; [48,78]	Bernoulli map: 𝑥𝑛=2𝑥𝑛−1 mod 1		15.87 Kbps	Blue lines in Figure 2(b)	0.05/μs; 0.033/μs	𝑋𝑛=((2(𝑋𝑛−1−𝑑))mod1)+𝑑	2.675; 1.616	2.7; 1.7