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Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog computation to solve them are rarely in the literature. To address such problems, this paper proposes a general method of using a memristor-capacitor (M-C) circuit to solve inhomogeneous linear ODEs and systems of ODEs of any order in initial value problems. The M-C circuit can match the coefficients of the equations sought by adjusting the memristor resistance value according to the coefficient formula proposed in the paper, which has higher programmability. Then, some ODEs and systems of ODEs are given in the paper as examples to evaluate the proposed method. According to the comparison results based on MATLAB software simulation and the simulation based on OrCAD software, the designed M-C circuit has an effective improvement in speed and the accuracy exceeds 99.95% in software simulation. Based on practical verification, this paper gives the actual M-C circuit experiment based on PCB. Moreover, the proposed method can be used to quickly solve the object motion state in the spring mass damping system in actual engineering, and the accuracy can reach 99.98%. [ABSTRACT FROM AUTHOR]

The integral nonlinearity of digital-to-analog converters manifests itself as adjacent-channel power in RF transmitters. This paper derives compact equations relating these two quantities and verifies the results by simulations. Both current-steering and switched-mode architectures are analyzed. [ABSTRACT FROM AUTHOR]

This paper analyzes the ability to suppress in-band noise power of a regenerative amplifier (RA) operating in the nonlinear regime in response to a continuous wave (CW) input tone. As opposed to the linear regime where a CW tone and the noise floor experience the same transfer function, it is shown that the non-linear saturation behavior of an RA yields different transfer characteristics between a CW tone and noise, ultimately leading to an improvement in the output carrier-to-noise ratio (CNR). This is all thanks to the high gain, narrow bandwidth, and the compressive third-order nonlinearity of the RA. This non-linear noise suppression is first analyzed mathematically using single tones in the frequency domain to represent the signal and the noise. Then, simulation of an RA circuit model is shown to be in excellent agreement with the analytical results. Lastly, a discrete RA has been implemented to experimentally verify the noise-suppression phenomenon. The measurement results clearly demonstrate noise suppression and show an output CNR improvement of up to 3 dB. Potential applications of the RA with noise suppression are also discussed. [ABSTRACT FROM AUTHOR]

In this paper it is proposed and explored the use of the Dickson charge pump (CP) to amplify time-variant signals. The study has been carried out through a theoretical analysis that provides an in-depth comprehension of the behavioral equations and the main design metrics commonly used to evaluate the performance of amplifiers. Starting from the analytical models, we show the conditions upon which the CP can be modeled with an equivalent small signal circuit and can amplify a signal. Then, assuming the CP working in the widest operative conditions, small-signal, large-signal and noise analysis are carried out. The results have been validated by extensive simulations and measurements on a proof of concept using a 130 nm CMOS technology. [ABSTRACT FROM AUTHOR]

Ring oscillators, with capacitive load intended for frequency tuning, can fail to sustain stable oscillations. Failure depends on the size of the load capacitors and their equivalent series resistance. This paper first describes the failing mechanism from an intuitive perspective. It then develops an analytical model and provides the equations for the minimum load capacitance and the range of equivalent series resistance at which the ring oscillator fails. The dependency on the number of stages of the ring oscillator as well as the trans-conductance and impedance of its gain stages are also examined. Confirmed by simulations, the model shows that the failing region reduces significantly for ring oscillators with 7 or more stages but that it can be a serious concern for 5 and especially 3-stage ring oscillators. [ABSTRACT FROM AUTHOR]

Analog matrix computing (AMC) with resistive memory implies naturally massive parallelism and in-memory processing, thus representing a promising solution for accelerating data-intensive workloads in many applications. In AMC circuits, the interconnect resistances residing in the crosspoint resistive arrays arise as a main non-ideal factor degrading the computing accuracy. Simulating and optimizing the circuits are of fundamental importance for large system integration. In this work, we develop a physics-based iterative algorithm to quickly model the matrix-vector multiplication (MVM) operation of crosspoint resistive array with interconnect resistances, thus quadratically reducing the time complexity of circuit simulation. In addition, we propose a new MVM circuit for matrix with negative values, in parallel with the conventional column-wise splitting (CS) and row-wise splitting (RS) circuits. The circuit is based on the conductance compensation (CC) strategy to realize a simplified RS scheme. The discrete Fourier transform (DFT) is implemented using this circuit as a case study. Simulation results reveal that the computing error caused by interconnect resistances is remarkably reduced in the CC-RS circuit. Also, the CC-RS scheme is demonstrated to be more immune to device variations and source/sink resistances. Our results provide an efficient modeling method together with an optimized approach for AMC circuits with non-idealities. [ABSTRACT FROM AUTHOR]

The capability of in-memory computation, reconfigurability, low power operation as well as multistate operation of the memristive device deems them a suitable candidate for designing electronic circuits with a broad range of applications. Besides, the integrability of memristor with CMOS enables it to use in logic circuits too. In this work, we demonstrate with examples the design flow for memristor-based electronics, after the custom memristor model already being integrated and validated into our chosen Computer-Aided Design (CAD) tool to performing layout-versus-schematic and post-layout checks including the memristive device. We envisage that this step-by-step guide to introducing memristor into the standard integrated circuit design flow will be a useful reference document for both device developers who wish to benchmark their technologies and circuit designers who wish to experiment with memristive-enhanced systems. [ABSTRACT FROM AUTHOR]

The convergence of the waveform relaxation (WR) method is demonstrated for a class of circuits: Chains of identical and symmetrical passive subcircuits. The WR algorithm uses resistive coupling to implement the iteration. Every part is modeled as a symmetric and reciprocal linear two-port network. The iteration matrices of the WR operator are constructed for the Gauss-Jacobi and Gauss-Seidel relaxations in the Fourier domain. An upperbound estimate of the spectral radius of the WR operator is presented. It demonstrates the convergence of the method independently of the number of cascaded parts in the chain and the coupling resistance. [ABSTRACT FROM AUTHOR]