A low-complexity programmable current mode circuit to design the sawtooth chaotic map

Abstract

We propose a programmable low-complexity current mode circuit to implement a controllable chaotic Sawtooth map, to take into account and correct the effects of the fabrication process variability, mismatches and temperature variations. The proposed solution, simulated using Cadence Virtuoso and a 0.35μm mixed-signal CMOS technology provided by AMS, is presented and discussed with theoretical arguments

Self‐tunable chaotic true random bit generator in current‐mode CMOS circuit with nonlinear distortion analysis

“…The circuit solutions proposed in this paper and validated with experiments represent an improvement of the design discussed by Çiçek et al 15 and Addabbo et al, 16 proposing technical solutions to solve stability issues and introducing parametric adjustment capabilities while maintaining a strong link with the studied theoretical models. The circuit solutions proposed in this paper and validated with experiments represent an improvement of the design discussed by Çiçek et al 15 and Addabbo et al, 16 proposing technical solutions to solve stability issues and introducing parametric adjustment capabilities while maintaining a strong link with the studied theoretical models.…”

“…15,16 To introduce our reasoning, without loss of validity and generality, we focus on the simplified CMOS circuit in Figure 2, despite that its low-complexity architecture can provide interesting results even if a nonlinear distortion is introduced. 15,16 To introduce our reasoning, without loss of validity and generality, we focus on the simplified CMOS circuit in Figure 2, despite that its low-complexity architecture can provide interesting results even if a nonlinear distortion is introduced.…”

“…Typical achievable results are reported in Figure 3, referring to a 180-nm CMOS mixed-signal technology by United Microelectronics Corporation (UMC) with 1.8-V power voltage supply. When considering linear tuning methods like the one proposed in Addabbo et al, 2,16 this aspect can be easily managed and corrected, as also shown in Section 5. The curves were extracted using Cadence Virtuoso ADE XL, by means of direct current (DC) sweep simulations.…”

“…15,16 For example, the circuit shown in Figure 8, fabricated by the authors referring to a 180-nm CMOS mixed-signal technology by United Microelectronics Corporation (UMC), also offers tunable gain and offset capabilities that can be used by the digital control as discussed in Section 5. 15,16 For example, the circuit shown in Figure 8, fabricated by the authors referring to a 180-nm CMOS mixed-signal technology by United Microelectronics Corporation (UMC), also offers tunable gain and offset capabilities that can be used by the digital control as discussed in Section 5.…”

“…[1][2][3][4][5][6][7][8][9][10][11][12] If the former can be obtained resorting to digital circuits, 9,13 chaotic TRBGs are devised to issue random numbers by exploiting the measurement of truly chaotic physical processes, implemented in analog circuits. 1,[6][7][8][10][11][12]15,16 In most cases, the design is achieved with "open-loop" solutions, in which the nominal design does not include effective methods to handle the chaotic system parametric perturbation, caused by technological process variability or physical drifts related to, eg, aging, temperature variation, or environmental coupling. 14 In the literature, a number of integrated circuit (IC) solutions have been proposed to implement piecewise linear chaotic maps, adopting different design approaches.…”