Sergey G. Rusakov

Russian Academy of Sciences | RAS · Department of Numerical Mathematics

This paper discusses the application of coupled reactance-less memristor-based oscillators (MBO) with binary output signals in oscillatory networks. A class of binary-coupled memristor oscillators provides simple integration with standard CMOS logic elements. Сombining MBOs with binary logic elements ensures the operation of complex information pro...

New functionalities of reactance-less memristor based oscillators are discussed which arise when two elementary oscillators are connected. It is shown that the system of coupled memristor based oscillators can be used for converting analog and analog-digital signals into binary pulse sequences. The approach to control the thresholds in memristor ba...

The analysis of the behavior of an oscillator under multi-frequency excitation is considered in the paper. The investigation is based on the phase macromodel. The paper shows that three steady-state modes can exist in oscillator under multi-frequency excitation. The synchronized (locked) mode can be defined as the coincidence of the oscillator fund...

Задача редуцирования линейной динамической системы с постоянными коэффициентами рассматривается как задача аппроксимации ее исходной дробно-рациональной передаточной функции аналогичной функцией более низкого порядка. Ошибка аппроксимации определяется как интегральная квадратичная норма отклонения переходных характеристик исходной и редуцированной...

The paper presents the model for the evaluation of the electric field in the cellular tissue. The model in the form of an electrical network is obtained by modifying the known transport lattice model. The network parameters are defined by applying the finite volume method to the Maxwell equations for an electric field in a homogeneous medium. It is...

Problems of the oscillator behavior under quasiperiodic multi-frequency excitation are considered in the paper. The new concept of the multi-frequency synchronization is proposed as the natural extension of the traditional synchronization concept for the periodically excited oscillator. Derived analytical expressions and performed simulation exampl...

Challenges to analyze networks of weakly coupled oscillators are considered. The model of the oscillator ensemble with the frequency-dependent couplings has been developed. The construction of the model is based on special locking functions obtained by the analysis of synchronized oscillator under external excitation. It is shown that the set of lo...

The memristor pulse series oscillator based on the Schmitt trigger with a memristor and a capacitor at the input is discussed. It is shown that such circuit provides the generation of a pulse series the duration of which is determined by the amplitude of the input signal. The simulation results corroborate the wide functionality of the oscillator u...

Abstract—A new class of nonreactive memristor generators is considered. It is shown that the double memristor generator has wide functionality for controlling and modulating output signals. The various operation modes of such generators are studied, including those characteristic of artificial neurons nodes, such as excitation and inhibition, contr...

The aspects of design of reactance-less oscillators based on memristors are considered. The requirements on load elements in the circuits of such oscillators are formulated. The equations describing the dynamical behavioral of the memristor oscillators with the use of linear-drift models are presented. Examples of the analysis and synthesis of osci...

The method to analyze the mutual injection locking of weakly coupled arbitrary oscillators is proposed. The couplings are defined by frequency-dependent admittance matrices. An algebraic system with respect to phases and common locking frequency is derived. For two oscillators, the system is transformed to the single phase equation and an explicit...

A method to analyze the injection locking and injection pulling of arbitrary oscillators under small excitation is proposed. The most general case when the excitation frequency is close to a rational fraction of the oscillator fundamental is considered. The phase differential equation for an arbitrary periodic excitation is derived. Expressions to...

A new approach to model order reduction of passive linear circuits is proposed. It is based on the successive elimination of small inductances. Simultaneously with the inductance removal additional capacitances are connected to neighboring branches to provide first order accuracy of the reduced transfer functions. The passivity of the reduced circu...

A new computational technique for distortion analysis of nonlinear circuits is presented. The new technique is applicable to the same class of circuits, namely, weakly nonlinear and time-varying circuits, as the periodic Volterra series. However, unlike the Volterra series, it does not require the computation of the second and third derivatives of...

A new approach to reduce computational efforts in Vector Fitting method is proposed. The approach is based on a new linear solver for the least squares problem. The solver exploits the specific structure of the Vector Fitting matrix. Numerical experiments showed the essential reduction of computational efforts (up to hundredfold). Besides a new sol...

This paper is aimed to characterize the state-of-the-art in the area of oscillator simulation. The development of robust computational schemes for oscillator analysis is a key problem of RF simulation. The main problems are considered below from the point of view of implementation of numerical procedures in circuit simulators.

The extension of selective techniques to generate parameterized reduced models is discussed. The formulas to compute the sensitivity matrices at each step of reducing procedure are obtained.

A general expression for the phase transfer functions of an oscillator for frequencies close to the harmonics of the oscillator fundamental is derived. Numerical testing and comparison with some known results are performed.

In this paper we examine the convergence properties of numerical techniques based on harmonic balance for the simulation of ring oscillators. We propose a modification of the continuation method that provides efficient and robust analysis of ring oscillators with moderate number of stages.

A new oscillator macromodel in the form of phase differential equation is proposed. The comparison of new macromodel with the Adler equation and with the macromodel based on Floquet theory is presented. It is shown that the proposed approach allows to perform phase noise analysis of any oscillator circuit with arbitrary periodic injection waveform....

This paper proposes an improvement to the well-known oscillator nonlinear phase macromodel based on Floquet theory. A smoothed form of the nonlinear phase macromodel is derived by eliminating highly oscillatory terms in the macromodel, resulting in a significant speed-up in transient simulation. For an LC oscillator under sinusoidal excitation the...

Injection locking of oscillators subject to small periodic excitations is derived from existence conditions of the solution of the small signal harmonic balance degenerate system. The resulting expression for the locking range can be applied to any oscillator circuit with arbitrary periodic injection waveform, and can be easily implemented into a c...

A new approach to analyze injection locking mode of oscillators under small external excitation is proposed. The proposed approach exploits existence conditions of the solution of HB linear system with degenerate matrix. The method allows one to obtain the locking range for an arbitrary oscillator circuit with an arbitrary periodic injection wavefo...

A new numerical technique for cyclostationary noise analysis of oscillators is proposed. This technique is based on the transformation of the frequency conversion linear system for periodic small signal analysis. This transformation provides nonsingular matrix with zero frequency offset that allows to avoid numerical errors at small frequency offse...

A new numerical technique for time domain noise analysis of oscillators is proposed. This technique is based on the linear periodically time varying model, with an equivalent transformation of the linear system. This transformation produces a nonsingular matrix when the frequency offset is zero, which avoids numerical errors at small offset frequen...

The efficient computational method for the analysis of circuits driven by digitally modulated narrow band signals is introduced. In comparison with classical approach using AM-AM and AM-PM characteristics the proposed method takes into account the dependence on modulation frequency and hence provides more accurate results. In contrast with the tran...

The opportunity of application of a developed VHDL-AMS simulator for behavioural simulation of radio engineering systems with modern methods of digital modulation is shown. There are developed VHDL-AMS models of mainframes of radio engineering circuits with digital modulation. Application is illustrated by simulation of a path of the transceiver wi...

A new computational technique for nonlinear distortion is presented. Unlike Volterra series this technique doesn't require computation of the second and third derivatives of device models. The approach is oriented for implementation in Spice-like simulators

A new numerical method based on minimal residual technique for solving parameterized linear systems with multiple right-hand side vectors is proposed. The proposed numerical algorithm provides the reduction of the computational efforts due to recycling of matrix-vector products obtained in previous solvings. Numerical experiments confirm the effici...

The special-purpose numerical continuation procedure for oscillator simulation is presented. The procedure allows to extend the convergence region and supports automatic guess of starting frequency point for continuation process.

First Page of the Article

A new approach and technique for periodic distortion analysis is proposed. It is computationally efficient in comparison with complete nonlinear steady-state analysis. In contrast with the Volterra series approach this technique does not require high order derivatives of the device models. The numerical scheme of periodic distortion analysis is des...

A new numerical technique for periodic small signal analysis, based on the harmonic balance method, is proposed. Special-purpose numerical procedures, based on Krylov subspace methods, are developed that reduce the computational efforts of solving linear problems under frequency sweeping. Examples are given to show the efficiency of the new algorit...

A new computational concept of timing jitter is proposed that is suitable for exploitation in circuit simulators. It is based on the approximation of computed noise characteristics. To define jitter value the parameter representation is used. The desired parameters are obtained after noise simulation process in time domain by minimization of integr...

A new numerical technique for periodic small signal analysis, based on the harmonic balance method, is proposed. Special-purpose numerical procedures, based on Krylov subspace methods, are developed that reduce the computational efforts of solving linear problems under frequency sweeping. Examples are given to show the efficiency of the new algorit...

This paper presents an approach for noise characterization of read-out circuits for CMOS image sensors in frames of transient noise analysis. It provides computation of the complete probabilistic characterization of such circuits. The method is efficient because no time-consuming convolution-like procedures are used. The flicker noise is naturally...

The paper presents a new approach to the problem of automatic order reducing of a rational transfer function (TF). The approach is directed to obtain low-order models under criterion of minimal integral square error. The developed computational scheme allows one to determine the reduced model of the minimal order with a given error tolerance

Krylov subspace techniques in harmonic balance simulations become increasingly ineffective when applied to strongly nonlinear circuits. This limitation is particularly important in the simulation if the circuit has components being operated in a very nonlinear region. Even if the circuit contains only a few very nonlinear components, Krylov methods...

A new method for computation of timing jitter in a PLL is proposed. The computational method is based on the representation of the circuit as a linear time-varying system with modulated stationary noise models, spectral decomposition of stochastic process and decomposition of noise into orthogonal components i.e. phase and amplitude noise. The meth...

This paper discusses the problem of numerical stability analysis of large networks in electrical circuit simulators. It is proposed to apply a numerical technique that combines a highly efficient algorithm for fast computation of poles with reliable identification of instability. The approach is oriented toward implementation in Spice-like simulato...

In this paper, we present a new technique, based on a continuation method, for oscillator analysis using harmonic balance. With the use of Krylov subspace iterative linear solvers, harmonic balance has become a very powerful method for the analysis of general nonlinear circuits in the frequency domain. However, application of the harmonic balance m...

Krylov subspace techniques in harmonic balance simulations become increasingly ineffective when applied to strongly nonlinear circuits. This limitation is particularly important in the simulation if the circuit has components being operated in a very nonlinear region. Even if the circuit contains only a few very nonlinear components, Krylov methods...

An abstract is not available.

Krylov subspace techniques in harmonic balance simulations become increasingly ineffective when applied to strongly nonlinear circuits. This limitation is particularly important in the simulation if the circuit has components being operated in a very nonlinear region. Even if the circuit contains only a few very nonlinear components, Krylov methods...

Krylov subspace techniques in harmonic balance simulations become increasingly ineffective when applied to strongly nonlinear circuits. This limitation is particularly important in the simulation of the nonlinear aspects of a circuit such as the 1 dB gain compression or if the circuit has components being operated in a very nonlinear region. Even i...

A new adaptive approach to solving large-dimension harmonic balance (HB) problems in RF circuit simulation is presented. The method is based on adjusting the order of the equation system according to the degree of nonlinearity of each node in the circuit. A block-diagonal preconditioner is used to construct an algorithm for order reduction during t...

A new method for transient noise analysis of nonlinear circuits is presented. The method is based on the presentation of a circuit as a linear time-varying system with modulated stationary noise models. The equations of the method are derived and their solution is described. The expression needed to compute the complete probabilistic characterizati...

A technique to accelerate harmonic balance (HB) analysis by taking into account frequency domain latency is presented. The algorithm automatically determines the individual number of harmonics for different nodes. The algorithm is based on Krylov subspace iterative techniques and provides selective estimation of residual norm under reducing dimensi...