By Jia-Ming Liu, Lev S. Tsimring

This ebook introduces readers to a brand new and fascinating cross-disciplinary box of electronic communications with chaos. This box was once born round 15 years in the past, whilst it was once first validated that nonlinear structures which produce advanced non-periodic noise-like chaotic indications, will be synchronized and modulated to hold necessary info. hence, chaotic indications can be utilized rather than pseudo-random electronic sequences for spread-spectrum and personal verbal exchange functions. This deceptively easy thought spun 1000s of analysis papers, and lots of novel conversation schemes in response to chaotic indications were proposed. notwithstanding, purely very lately researchers have all started to make a transition from educational reviews towards useful implementation concerns, and lots of "promising" schemes needed to be discarded or re-formulated. This ebook describes the state-of-the-art (both theoretical and experimental) of this novel box. The booklet is written through major specialists within the fields of Nonlinear Dynamics and electric Engineering who participated in US military subsidized Multi-University study Initiative on electronic communique utilizing Nonlinear Dynamics. it will likely be worthy for energetic researchers and complicated graduate scholars attracted to this interesting new box.

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Example text

M ) Due to these fluctuations the position of the received pulse, tn = tn +d+Sn , (D) is shifted from the arrival time predicted in the demodulator, tn + d + Sn . The errors are caused by the following two factors. First, when the amplitude of fluctuations of the position shift is larger than m/2, some delays for “0”s and “1”s overlap and cannot be separated. Second, when the fluctuations are such that a pulse arrives before the demodulator opens the receiver input (D) (tn < tn ), the demodulator skips the pulse, loses synchronization and cannot recover the information until it resynchronizes.

7. We measured the dependence of BER on the ratio Eb /N0 , where Eb is the energy of CPPM signal per bit and N0 is the spectral density of noise. 2. The slightly better than expected performance of the experimental system at high levels of noise can be explained by the observed significant deviations of the noise distribution from Gaussian at high noise amplitudes. The quicker than expected degradation of performance at low levels of noise is primarily due to the small mismatch of the parameters in the transmitter and the receiver.

Vol. 48 , pp. 1436–1444, 2001. 44. N. F. Rulkov, M. A. Vorontsov and L. Illing Chaotic Free-Space Laser Communication over Turbulent Channel. Phys. Rev. Lett. vol. 89 , 277905, 2002. 45. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE Press, Bellingham, 2001). 46. T. Stojanovski, Lj. Kocarev, and R. Harris. Applications of symbolic dynamics in chaos synchronization. IEEE Trans. Circuit. Syst. 44(10), pp. 1014– 1017, 1997. 47. H. Torikai, T. Saito, and W.

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