We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial in t of some degree k. We prove that such circuits require size Ω(n/ log n) to compute several natural families of functions, including sorting, finite field arithmetic, and the “rigid linear transformations” of Valian...

In this paper, we investigate few memristor-based analog circuits namely the phase shift oscillator, integrator, and differentiator which have been explored numerously using the traditional lumped components. We use LTspice-IV platform for simulation of the abovesaid circuits. The investigation resorts to the nonlinear dopant drift model of memristor and the window function portrayed in the lit...

Monolithic integrated millimeter-wave circuits based on silicon and SiGe are emerging as an attractive option in the field of millimeter-wave communications and millimeterwave sensorics. The combination of active devices with passive planar structures, including also antenna elements, allows single-chip realizations of complete millimeter-wave front-ends. This paper reviews the state-of-the-art...

Introduction: One of the possible techniques to cope with the restrictions imposed by llow supply voltages is instantaneous companding [l], which is an inherent characteristic of translinear (TL) filters [2], also called exponential state-space filters [3]. TL filters exploit the exponential large-signal behaviour of the bipolar, or weak inversion MOS, transistor both for an expanding capacitan...

1 This report is available by anonymous ftp from ftp.esat.kuleuven.ac.be in the directory pub/SISTA/moreau/reports/. The missing gures, which have been excluded because they are diicult to print, are available separately in the le chua gures.ps. Abstract Composition methods are methods for the integration of ordinary differential equations arising from diierential geometry, or more precisely, L...

Distortion analysis of nonlinear circuits is very important for designing analog integrated circuits and communication systems. In this letter, we propose an efficient frequency-domain approach for calculating frequency response curves, which is based on HB (harmonic balance) method combining with ABMs (Analog Behavior Models) of Spice. Firstly, nonlinear devices such as bipolar transistors and...

Composition methods are methods for the integration of ordinary differential equations arising from differential geometry, or more precisely, Lie algebra theory. We apply them here to the simulation of arrays of Chua’s circuits. In these methods, we split the vector field of the array of Chua’s circuits into its linear part and its nonlinear part. We then solve the elementary differential equat...

− This paper presents a new output feedback technique for synchronizing chaotic circuits. In particular, it is shown that synchronization can be systematically achieved via a scalar signal for a large class of chaotic systems. The approach is successfully applied to the recently proposed Chua’s circuit with x|x| nonlinearity. Key-words: – Chaotic circuits, Synchronization, Feedback techniques, ...