Pseudo-chaotic communication method exploiting symbolic...

Pulse or digital communications – Systems using alternating or pulsating current

Reexamination Certificate

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C380S046000

Reexamination Certificate

active

06882689

ABSTRACT:
A pseudo-chaotic coding/modulation method. The coding method exploits symbolic dynamics of a chaotic map at the transmitter to encode data. The encoding synthesizes the chaotic map based upon the data to be transmitted. In a preferred embodiment, pseudo-chaotic iterates are generated from a digital implementation of a Bernoulli shift map. The output of the shift map is translated by a mapping, preferably implemented by a digital signal processor, to allow transitions between states in a transmitted signal to differ, and the translated map is used to drive a modulator (for example PPM, FSK, PSK, QAM, etc.). In the specific case of pulse-position modulation (PPM) the translated map is used to modulate pulse train positions within a periodic synchronization frame. The preferred embodiment uses a shift register to implement an approximation of the Bernoulli shift map acting as a form of convolutional code with a number of states equal to the symbolic states defined on the chaotic map. A receiver may use fewer states and still decode the data signal, allowing receiver scalability.

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Douglas R. Frey, “Cahotic Digital Encoding: an Approach to Secure Communication” vol. 40, Oct. 10, 1993, IEEE.*
Gian Maggio, N. Rulkov, M. Sushchik, L. Tsimring, A. Volkovskii, H. Abarbanel, L. Larson and K. Yao, “Chaotic Pulse-Position Modulation for Ultrawide-Band Communication Systems,” pp. 1-6, Nov. 2000, posted on World Wide Web Nov. 1999.
Gian Maggio, N. Rulkov, L., Reggiani, “Chaotic Pulse-Position Modulation for UWB Impulse Radio,”IEEE Trans. Circuits and Systems-I, pp. 1-16, unpublished.
Gian Maggio, N. Rulkov, L. Tsimring, A. Volkovskii, H. Abarbanel, L. Larson, K. Yao, “Chaotic Pulse-Position Modulation for UWB Systems,” Proc.UWB Conference, pp. 1-25, Washington, DC, Sep. 28-30, 1999.

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