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Audio Analog Chaos Modulator IC for Secure Communications

Team: Manuel Delgado-Restituto and Angel Rodríguez-Vázquez

Date: 1996

 

Physical Data
  • 2.4µ m CMOS n-well, double poly, double metal.
  • 1904µ m X 2620µ m (excluding pads)
  • 890 transistors.
Electrical Data
  • 5V@1.8mW.
  • Electrically-controlled operation.
  • Natural frequencies in the audio band.
Design Technique:
  • Analog full-custom.
  • gm-C circuits:
    • Linearization through cross-coupled differential pairs with RHP zero cancellation.
    • Stacked cascode current mirrors.
  • Nonlinear voltage-to-current transformation using current shaping.
  • Control of natural frequencies through correlated biasing for keeping range.
Features and Applications:
  • Based on Chua's oscillator.
  • The model has been obtained (through a systematic optimization procedure) for an increased robustness against techological parameter deviations.
  • It allows noise-band signal encryption, by means of the vector field modulations approach.

 

Experimental observations and theoretical analyse have demonstrated that interconnected chaotic cells may evolve in phase, in spite of their intrinsically irregular behavior and large sensitivity to the initial conditions. This phenomenon of chaotic synchronization shows promise of applications for the secure communication of data. The basic idea is to exploit the noise-like appearance of a chaotic carrier to hide an information-bearing signal at the emitter site, and make use of the synchronization property to recover the information at the receiver.

This chip has been designed to be used as the basic building block for chaotic modulation and demodulation. It realizes the following nonlinear state equations,

where the nonlinearity (Fig 3) is given by,

 

The parameters m0 and m1 in the this nonlinearity are controllable trough external bias current. Thus, a bifurcation sequence can be transversed, and cryptographiced keys for chaotic encryption can be set-up.

More details are available in the following papers:

 

References:

  1. [Delg95] M. Delgado-Restituto, A. Rodríguez-Vázquez, R. López Ahumada and M. Liñán: "Chaotic Synchronization using Monolithic Chua oscillators". Int. J. Electronics, Vol. 79, pp. 775-785, 1995.
  2. [Delg96a] M. Delgado-Restituto, M. Liñán and A. Rodríguez-Vázquez: "IC Design for Spread Spectrum Communication Exploiting Chaos". Proceedings of IEEE ISCAS, Atlanta, USA, Vol. 3, pp. 178-181, 1996
  3. [Delg96b] M. Delgado-Restituto, M. Liñán and A. Rodríguez-Vázquez: "A CMOS 2.4mm Chaotic Oscillator: Experimental Verification of Chaotic Encryption of Audio". Electronics Letters, Vol. 32, pp. 795-796, 1996.

Images List:

 

 

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