Nonlinear function generators and chaotic signalgenerators using a pulse-width modulation method

Matsukawa, Takashi; Sakabayashi, Sota; Nagata, Makoto; Iwata, Atsushi

doi:10.1049/el:19970937

Cited by 7 publications

(6 citation statements)

References 2 publications

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“…Using (5), the equations for the transformer can be written in the form (6) Substituting (4) we find (7) and eliminating the voltage (8) we rewrite (6) in the following form: (9) where (10) Solving (1), (2), and (9) for the time derivatives, we obtain the equations of the circuit in the form (11) (12) (13) where (14) This system of differential equations represent a complete set of the state equations for the nonlinear circuit shown in Fig. 1.…”

Section: Differential Equations For the Chaotic Blocking Oscillatormentioning

confidence: 99%

“…This property of chaotic pulse generator enables one to shape the power spectrum and the autocorrelation function of the chaotic output. Different designs of the chaotic pulse generators were discussed recently in [7]- [11]. The studies of these chaotic pulse generators were motivated by utilization of such circuits in chaos based communication systems.…”

Section: Introductionmentioning

confidence: 99%

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Generation of broad-band chaos using blocking oscillator

Rulkov

Volkovskii

2001

IEEE Trans. Circuits Syst. I

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In this paper, we discuss fundamentals for the design of a source of chaotic signals based on a blocking oscillator circuit. We study a modification of a well-known circuit of blocking oscillator which leads to the onset of chaotic oscillations. The output signal of such chaotic oscillator is a series of short term pulses characterized by chaotic fluctuations of time intervals between pulses. Such chaotic pulse signals posses a broad-band continuous power spectrum and short correlation length. We discuss the results of theoretical and experimental studies of nonlinear dynamics of the chaotic blocking oscillator.

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Section: Differential Equations For the Chaotic Blocking Oscillatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generation of broad-band chaos using blocking oscillator

Rulkov

Volkovskii

2001

IEEE Trans. Circuits Syst. I

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“…We h a ve already proposed a new circuit technique generating arbitrary nonlinear functions by using conversion from an analog voltage to a pulse-width modulation (PWM) signal [3]. We h a ve also proposed another circuit principle by using conversion from pulsewidth/pulse-phase modulation (PWM/PPM) to analog voltage [4].…”

Section: Introductionmentioning

confidence: 99%

“…They make it possible to realize arbitrary discrete-time, continuous-state nonlinear dynamical systems. We designed an arbitrary chaos generator and a nonlinear oscillator and demonstrated their performance using HSPICE simulation [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

“…Figure 2 and 3 show examples of making second-order and thirdorder nonlinear functions, respectively [3]. The reason why this approach i s useful is that we can easily generate arbitrary nonlinear functions as a function of time by using various relaxation oscillator circuits or D-A converters, while it is very dicult to generate arbitrary nonlinear transfer functions in voltage or current domains.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear dynamical systems utilizing pulse modulation signals and a CMOS chip generating arbitrary chaos

Matsukawa

Sakabayashi²,

Nagata³

et al.

Proceedings of the Seventh International Conference on Microelectronics for Neural, Fuzzy and Bio-Inspired Systems

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This paper presents nonlinear dynamical systems utilizing pulse modulation signals suitable for VLSI implementation. The proposed circuits implement discretetime continuous-state dynamics by analog processing in time domain. Arbitrary nonlinear transfer functions can be generated using the conversion from an analog voltage to a pulse-width modulation (PWM) signal. The nonlinear waveforms that have the same shape as the inverse function of the desired t r ansfer function are supplied. A CMOS chip generating arbitrary chaos has been designed and fabricated using a 0.4m CMOS process. Chaos using the tent map and logistic map has successfully been observed using the chip.

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