@article{hart_steer_2007, title={Modeling the nonlinear response of multitones with uncorrelated phase}, volume={55}, ISSN={["1557-9670"]}, DOI={10.1109/TMTT.2007.906462}, abstractNote={Traditional simulation approaches for predicting the frequency-domain response of nonlinear devices to multiple tone excitation enforce correlation of the phases of the individual tones. This is the case with time-domain simulators and transform-based schemes such as Harmonic balance as the waveform must be single valued, thus enforcing correlation. Previous efforts in frequency-domain simulators using the arithmetic operator method (AOM) also produced results in good agreement with measurements for correlated-phase input signals. Here, the AOM is applied to directly determine the spectral response of nonlinear systems to excitation by multiple uncorrelated tones in a single simulation. Verification is provided using measurements of a nonlinear amplifier excited by 15 independent tones and comparison to the average of the ensemble of results from multiple correlated-phase simulations.}, number={10}, journal={IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES}, author={Hart, Frank P. and Steer, Michael B.}, year={2007}, month={Oct}, pages={2147–2156} }
 @article{hart_luniya_nath_victor_walker_steer_2007, title={Modelling high-order filters in a transient microwave circuit simulator}, volume={1}, ISSN={["1751-8733"]}, DOI={10.1049/iet-map:20060231}, abstractNote={Transient simulation of narrowband bandpass filters used in microwave circuits is challenging because of matrix ill-conditioning. Here, such filters are modelled as the equivalent discrete-time form developed using a bilinear z-transform. The technique has been implemented in a general purpose transient circuit simulator and validated using a 1.7 GHz 5-section coaxial filter with a 0.9% bandwidth.}, number={5}, journal={IET MICROWAVES ANTENNAS & PROPAGATION}, author={Hart, F. P. and Luniya, S. R. and Nath, J. and Victor, A. and Walker, A. and Steer, M. B.}, year={2007}, month={Oct}, pages={1024–1028} }
 @article{mohan_choi_mick_hart_chandrasekar_cangellaris_franzon_steer_2004, title={Causal reduced-order modeling of distributed structures in a transient circuit simulator}, volume={52}, ISSN={["1557-9670"]}, DOI={10.1109/TMTT.2004.834588}, abstractNote={Fosters' canonical representation of the transfer characteristic of a linear system is the key to causal fully convergent incorporation of distributed structures in transient circuit simulators. The implementation of the Foster's model in the fREEDA circuit simulator is reported and the modeling of a two-port coupled inductor is presented as an example.}, number={9}, journal={IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES}, author={Mohan, R and Choi, MJ and Mick, SE and Hart, FP and Chandrasekar, K and Cangellaris, AC and Franzon, PD and Steer, MB}, year={2004}, month={Sep}, pages={2207–2214} }
 @article{hart_stephenson_chang_gharaibeh_johnson_steer_2003, title={Mathematical foundations of frequency-domain modeling of nonlinear circuits and systems using the arithmetic operator method}, volume={13}, ISSN={["1096-4290"]}, DOI={10.1002/mmce.10108}, abstractNote={The arithmetic operator method (AOM) is a method for performing arithmetic operations on one or more signals that are described by their spectra. By extension, any analytic functional operation on the signals can be performed in the frequency domain using matrix‐vector operations. The mathematical foundation of AOM is presented as a numerically efficient convolution‐like procedure in this article. It is directly applicable to the behavioral modeling of nonlinear RF and microwave circuits and systems. © 2003 Wiley Periodicals, Inc. Int J RF and Microwave CAE 13, 473–495, 2003.}, number={6}, journal={INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING}, author={Hart, FP and Stephenson, DG and Chang, CR and Gharaibeh, K and Johnson, RG and Steer, MB}, year={2003}, month={Nov}, pages={473–495} }