Topics in matrix analysis
Oscillator design & computer simulation
Oscillator design & computer simulation
Periodic motions
Simulation of high-Q oscillators
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Two Efficient Algorithms with Guaranteed Convergence for Finding a Zero of a Function
ACM Transactions on Mathematical Software (TOMS)
The Designer's Guide to Spice and Spectre
The Designer's Guide to Spice and Spectre
Semiconductor Device Modeling with Spice
Semiconductor Device Modeling with Spice
Computer Methods for Circuit Analysis and Design
Computer Methods for Circuit Analysis and Design
Global Optimization Applied to the Oscillator Problem
Proceedings of the conference on Design, automation and test in Europe
Phase noise performances of a cross-coupled CMOS VCO with resistor tail biasing
SBCCI '05 Proceedings of the 18th annual symposium on Integrated circuits and system design
Frequency domain simulation of high-Q oscillators with homotopy methods
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
A multi-harmonic probe technique for computing oscillator steady states
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Frequency-Domain Simulation of Ring Oscillators With a Multiple-Probe Method
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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This paper considers the harmonic balance method (HB) in conjunction with the probe insertion technique. In general, the nonlinear equations modeling the circuit in the frequency domain are solved with the Newton iterative method. It is known that, in many cases, probe insertion in the original circuit shows better convergence properties of the Newton method and therefore of the harmonic balance when simulating autonomous circuits. The probe technique is considered here in detail, and numerical aspects are discussed mainly for what concerns the condition number of the Jacobian matrix related to the Newton method. The probe technique is then improved by exploiting properties of the power exchanged between the probe and the circuit in which it is inserted; moreover, an automatic probe insertion mechanism is detailed.