Novel Bit Power Spectrum Measures for Improved Security in Chaotic Communication Systems

In this chapter, the general approach to master-slave chaotic map synchronization of chapter 4 is demonstrated on the e $\Re^2$ Burgers’ map master-slave system. A Burgers’ map CPM based chaotic communication system is then designed using the method of chapter 6. Primarily, however, the security of the proposed Burgers’ map and the existing CPM, as well as of the ICM, chaotic communication systems is evaluated. The security is evaluated in terms of the average power of the bits transmitted using the newly developed measures, termed the bit power parameter spectrum (BPPS) and the bit power initial condition spectrum (BPICS). It is shown that due to the largest bit power overlap region of the chaotic carriers of the transmitted bits, (overlap within BPPS and BPICS), the Ueda ICM based chaotic communication system is more secure than the CPM based chaotic communication systems.