66 citations · 97 across the 7 of their papers we have counts for
7 papers
A Multirate Transient Simulation Technique for Circuits described by Integro-Differential Equations
Hans Georg Brachtendorf, Kai Bittner
The multirate partial differential equation (PDE) technique is considered as one of the most powerful methods for the simulation of radio frequency (RF) circuits. The method reform…
The Impact of the Cauchy Interlace Theorem on the Convergence of the RLS Algorithm
Hans Georg Brachtendorf
In this paper, we revisit the convergence of the RLS algorithm in view of the Cauchy Interlace Theorem. It states that the eigenvalues of a Hermitian matrix and of the rank one…
Latency Exploitation in Wavelet-based Multirate Circuit Simulation
Kai Bittner, Hans Georg Brachtendorf
The simulation of radio frequency (RF) circuits is one of the severest problems in Design Automation: the information signal or envelope is modulated by a carrier signal with a cen…
Trigonometric Splines for Oscillator Simulation
Kai Bittner, Hans Georg Brachtendorf
We investigate the effects of numerical damping for oscillator simulation with spline methods. Numerical damping results in an artificial loss of energy and leads therefore to unre…
Fast Algorithms for Adaptive Free-Knot Spline Approximation Using Non-Uniform Biorthogonal Spline Wavelets
Kai Bittner, Hans Georg Brachtendorf
New algorithms for fast wavelet transforms with biorthogonal spline wavelets on nonuniform grids are presented. In contrary to classical wavelet transforms, the algorithms are not…
Adaptive Multi-rate Wavelet Method for Circuit Simulation
Kai Bittner, Hans Georg Brachtendorf
In this paper a new adaptive algorithm for multi-rate circuit simulation encountered in the design of RF circuits based on spline wavelets is presented. The circuit ordinary differ…
Optimal frequency sweep method in multi-rate circuit simulation
Kai Bittner, Hans Georg Brachtendorf
Purpose -- RF circuits often possess a multi-rate behavior. Slow changing baseband signals and fast oscillating carrier signals often occur in the same circuit. Frequency modulated…