An efficient Fourier transform algorithm for multitone harmonic balance

Borich, V.; East, J.R.; Haddad, G.I.

doi:10.1109/22.744293

Cited by 19 publications

(9 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The equivalent voltages and currents of these spectral components have to match the linear problem, and they are iteratively adjusted until they do. As shown in [48], the agreement between the closed-form (40) or (41) and HB is very good throughout the whole range of source powers which is likely to be used in IMD measurements of these cavities.…”

Section: Dielectric Loaded Cavity With Superconducting Endplatesmentioning

confidence: 75%

“…These may consist of parameters that characterize nonlinear transmission lines ( , or , ), or parameters that characterize only the nonlinearities of the superconductor . In the examples below, we will describe how to extract these parameters from experimental measurements using (32), (34), (37), (38), (40), and (41). These examples refer to intermodulation measurements which are presumably taken with no compression effects.…”

Section: Superconductor Characterization With Imd Measurements Of mentioning

confidence: 99%

“…These examples refer to intermodulation measurements which are presumably taken with no compression effects. If that was not the case, (32), (34), (37), (38), (40), and (41) would not be valid, and the power of the intermodulation signals would not have the proper dependence on the power of the sources (3 : 1 slope for quadratic nonlinearities and 2 : 1 for modulus nonlinearities).…”

Section: Superconductor Characterization With Imd Measurements Of mentioning

confidence: 99%

“…A review of methods to do this can be found in [40]. We have used bidimensional fast Fourier transforms [41] in order to avoid aliasing problems if the fundamental frequencies are very close, as is usual in superconducting resonators.…”

Section: )mentioning

confidence: 99%

See 3 more Smart Citations

Analysis and Simulation of the Effects of Distributed Nonlinearities in Microwave Superconducting Devices

Collado

Mateu

O'Callaghan

2005

IEEE Trans. Appl. Supercond.

View full text Add to dashboard Cite

Abstract-This paper presents a comprehensive study of microwave nonlinearities in superconductors, with an emphasis on intermodulation distortion and third-harmonic generation. It contains the analysis of various resonant and nonresonant test devices and its validation using numerical simulations based on harmonic balance (HB).The HB simulations made on test devices show that the closedform equations for intermodulation and third-harmonic generation are only valid at low power levels.The paper also contains examples of application of HB to illustrate that this technique is useful to simulate superconductive devices other than simple test devices, and that the validity of the simulations is not restricted to low drive power levels.Most of the analyses and simulations of this paper are based on electrical parameters that describe the nonlinearities in the superconducting material. These parameters are compatible with many existing models of microwave nonlinearities in superconductors. We discuss the particulars on how to relate these electrical parameters with one of the existing models that postulates that the nonlinear effects are due to a dependence of the penetration depth on the current density in the superconductor.

show abstract

Section: Dielectric Loaded Cavity With Superconducting Endplatesmentioning

confidence: 75%

Section: Superconductor Characterization With Imd Measurements Of mentioning

confidence: 99%

Section: Superconductor Characterization With Imd Measurements Of mentioning

confidence: 99%

Section: )mentioning

confidence: 99%

See 2 more Smart Citations

Analysis and Simulation of the Effects of Distributed Nonlinearities in Microwave Superconducting Devices

Collado

Mateu

O'Callaghan

2005

IEEE Trans. Appl. Supercond.

View full text Add to dashboard Cite

show abstract

“…Despite the apparent maturity of harmonic balance, the topic is still being actively researched [4], [5], [6]. The motivation for this renewed interest is the growth of the wireless communications industry and the need to simulate circuits with inputs of greater complexity than the single-tone and two-tones that have often been used in the past.…”

Section: Introductionmentioning

confidence: 99%

Application of evolutionary computation techniques to nonlinear microwave circuit analysis

Iezekiel

8th IEEE International Symposium on High Performance Electron Devices for Microwave and Optoelectronic Applications (Cat. No.00

View full text Add to dashboard Cite

The application of genetic algorithms to the simulation of nonlinear microwave one-port circuits using hybrid techniques is reviewed. To date, harmonic balance and sample balance have been the two major types of hybrid technique, and genetic algorithms have been successfully used to implement both methods. However, genetic algorithms are "transparent" to the solution domain, which allows new classes of hybrid technique to be developed: these are termed frequency-domain sample balance (FDSB) and time-domain harmonic balance (TDHB). FDSB, in particular, has useful properties for circuits with noncommensurate multitone inputs. By formulating the error function in the time domain whilst representing the solution in the frequency domain, it is possible to circumvent the use of Fourier transforms altogether. This allows, in principle, any arbitrary steady-state input to be applied.

show abstract

A Krylov-subspace technique for the simulation of integrated RF/microwave subsystems driven by digitally modulated carriers

Rizzoli

Neri

Mastri

et al. 1999

Int. J. RF and Microwave Comp. Aid. Eng.

View full text Add to dashboard Cite

This article introduces a new approach to the analysis of nonlinear RF/microwave systems or subsystems described at the circuit level and excited by sinusoidal carriers modulated by arbitrary baseband signals. The circuit is simulated by a sequence of harmonic‐balance analyses based on a Krylov‐subspace method driven by an inexact Newton loop, and suitably modified to account for coupling with a finite number of preceding time instants. The Jacobian matrix of the nonlinear solving system is computed by an exact algorithm, and its structure is shown to be very well suited for the application of Krylov‐subspace techniques such as the GMRES method. In this way, problems with many millions of nodal unknowns may be efficiently tackled at the workstation level. ©1999 John Wiley & Sons, Inc. Int J RF and Microwave CAE 9: 490–505, 1999.

show abstract

An efficient Fourier transform algorithm for multitone harmonic balance

Cited by 19 publications

References 14 publications

Analysis and Simulation of the Effects of Distributed Nonlinearities in Microwave Superconducting Devices

Analysis and Simulation of the Effects of Distributed Nonlinearities in Microwave Superconducting Devices

Application of evolutionary computation techniques to nonlinear microwave circuit analysis

A Krylov-subspace technique for the simulation of integrated RF/microwave subsystems driven by digitally modulated carriers

Contact Info

Product

Resources

About