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This paper studies an $H_{\infty }$ model reduction problem for interval frequency negative imaginary (IFNI) systems. For a given IFNI system, our goal is to find a reduced-order IFNI system satisfying a pre-specified $H_{\infty }$ approximation error bound over the finite-frequency interval. Necessary and sufficient conditions in terms of matrix inequalities are derived for the existence and construction of an $H_{\infty }$ reduced-order IFNI system. An improved iterative algorithm is provided to solve the matrix inequalities and to minimize the $H_{\infty }$ approximation error. The proposed method is further clarified via the application to the electrical circuits, such as high-order Sallen–Key low-pass filter, piezoelectric tube scanner, and RLC circuit. The simulation results on these electrical circuits are compared with the finite-frequency interval Gramians-based model reduction method both in the frequency domain and time domain. [ABSTRACT FROM AUTHOR]

A novel nonlinear filter, which incorporates the concept of exponential sinusoidal models into nonlinear filters based on functional link networks (FLNs) has been developed in this paper. The proposed filter is designed to provide improved convergence characteristics over traditional FLN filters. The conventional trigonometric FLN may be considered as a special case of the proposed adaptive exponential FLN (AEFLN). An adaptive exponential least mean square (AELMS) algorithm has been derived and the same has been successfully applied for identification of a couple of nonlinear plants. The AEFLN-based nonlinear active noise control (ANC) system has also been designed and an adaptive exponential filtered-s least mean square (AEFsLMS) algorithm has been developed to update the weights as well as the exponential factor. Simulation study has revealed the improved noise mitigation offered by the AEFLN-based nonlinear ANC system. [ABSTRACT FROM AUTHOR]

This paper presents an event-driven simulation methodology for injection-locked oscillators. The proposed method adopts a phase-domain macromodel based on a perturbation projection vector (PPV), which expresses the oscillator's phase response using a nonlinear, time-varying differential equation. By expressing the PPV using a piecewise polynomial function, the PPV model can be simulated in an event-driven fashion on a digital logic simulator like SystemVerilog. While this piecewise polynomial approximation introduces a trade-off between the simulation accuracy and speed, our results show that the simulation accuracy quickly reaches its optimal value as the piecewise interval number increases even with first-order polynomials. The experimental results with an LC oscillator, ring oscillator, and burst-mode CDR models operating with both periodic and aperiodic inputs demonstrate that the proposed models achieve speeds up to 2\sim 30\times that of transistor-level Spectre simulations with the same accuracy. [ABSTRACT FROM PUBLISHER]

Sub-harmonic pulse injection-locked oscillators are becoming attractive candidates for the design of clock multipliers and as building blocks of phase-locked loops. Unfortunately, due to the large amplitude of the injected signals, these circuits cannot be analyzed with conventional methods and very-time-consuming simulations are needed to determine their phase noise performance. Phase-noise simulations are particularly critical when the ratio N between the output and the injection frequency gets large. To address the above issue, this paper provides an efficient computation flow to derive the phase noise of pulse injection-locked oscillators. The flow simply requires the computation of the phase-domain response and the phase noise of the free-running oscillator. An analytical expression, herewith demonstrated and compared against commercial simulation tools, allows calculating the phase noise of the injection-locked oscillator for any frequency ratio N. [ABSTRACT FROM AUTHOR]