论文信息 - Parameter Finding Methods for Oscillators with a Specified Oscillation Frequency

Parameter Finding Methods for Oscillators with a Specified Oscillation Frequency

This paper presents a generalized formulation of the periodic steady-state analysis for oscillators. The new formulation finds the value of a circuit parameter that results in a desired oscillation frequency for the circuit. Numerical methods based on the time-domain finite difference and shooting methods, and the frequency-domain harmonic balance method are described. Comparisons with search-based methods demonstrate the efficacy of the new approach.

[1] M. Horowitz,et al. Precise delay generation using coupled oscillators , 1993, 1993 IEEE International Solid-State Circuits Conference Digest of Technical Papers.

[2] Alberto L. Sangiovanni-Vincentelli,et al. Steady-state methods for simulating analog and microwave circuits , 1990, The Kluwer international series in engineering and computer science.

[3] T. Aprille,et al. A computer algorithm to determine the steady-state response of nonlinear oscillators , 1972 .

[4] Kartikeya Mayaram,et al. Computer-aided circuit analysis tools for RFIC simulation: algorithms, features, and limitations , 2000 .

[5] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .

[6] Amit Mehrotra,et al. Steady-state analysis of voltage and current controlled oscillators , 2005, ICCAD-2005. IEEE/ACM International Conference on Computer-Aided Design, 2005..

[7] Robert D. Russell,et al. Numerical solution of boundary value problems for ordinary differential equations , 1995, Classics in applied mathematics.

[8] Eugene Isaacson,et al. Numerical Solution of Boundary Value Problems for Ordinary Differential Equations (Uri M. Ascher, Robert M. M. Mattheij, and Robert D. Russell) , 1989, SIAM Rev..