Harmonic-balance circuit analysis for electro-neural interfaces

[Article] Improved Harmonic Balance implementation of Floquet analysis for nonlinear circuit simulation

We present a novel algorithm for the efficient numerical computation of the Floquet quantities (eigenvalues, direct and adjoint eigenvectors) relevant to the assessment of the stability and noise properties of nonlinear forced and autonomous circuits. The approach is entirely developed in the frequency domain by means of the application of the Harmonic Balance technique, thus avoiding lengthy t...

Analysis of Stability and Bifurcations of Limit Cycles in Chua’s Circuit Through the Harmonic-Balance Approach

This paper presents a spectral approach, based on the harmonic-balance technique, for detecting limit-cycle bifurcations in complex nonlinear circuits. The key step of the proposed approach is a method for a simple and effective computation of the Floquet multipliers (FM’s) that yield stability and bifurcation conditions. As a case-study, a quite complex system, Chua’s circuit, is considered. I...

The Enhancing of Efficiency of the Harmonic Balance Analysis by Adaptation of Preconditioner to Circuit Nonlinearity

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 circu it has components being operated in a very nonlinear region. Ev en if the circuit contains only a few very nonlinear components, Krylov methods using standard preconditioners can become in...

Harmonic Analysis of Neural Networks

Parallel Preconditioned Hierarchical Harmonic Balance for Analog and RF Circuit Simulation

Circuit simulation is a fundamental enabler for the design of integrated circuits. As the design complexity increases, there has been a long lasting interest in speeding up transient circuit simulation using paralellization (Dong et al., 2008; Dong & Li, 2009b;c; Reichelt et al., 1993; Wever et al., 1996; Ye et al., 2008). On the other hand, Harmonic Balance (HB), as a general frequency-domain ...