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New Chapters
- Laplace Transforms on Time Scales.
Chapter 12 is titled "Mathematical Morphology and Fourier Analysis on Time Scales" Here are two papers extending time scales analysis to Laplace transforms and their convergence.
- John M. Davis, Ian A. Gravagne and Robert J. Marks II, "Convergence of Unilateral Laplace Transforms on Time Scales,'' Circuits, Systems, and Signal Processing, Birkhäuser Boston, Friday, April 07, 2010. [ DOI 10.1007/s00034-010-9182-8 | Abstract & References | pdf ]
- John M. Davis, Ian A. Gravagne and Robert J. Marks II, "Bilateral Laplace Transforms on Time Scales: Convergence, Convolution, and the Characterization of Stationary Stochastic Time Series,'' Circuits, Systems, and Signal Processing, Birkhäuser Boston, Volume 29, Issue 6 (2010), Page 1141. [ DOI 10.1007/s00034-010-9196-2 | Abstract & References | pdf ]
- Linearization in Time and Frequency.
Jacobians are used freqently in linearization. These papers establish continuous and discrete Fourier transform relationships between Jacobians in time and frequency.
- Charles Baylis II and Robert J. Marks II, "Small Perturbation Harmonic Coupling In Nonlinear Periodicity Preservation Systems," IEEE Transactions on Circuits and Systems I: Regular Papers, vol.59, no.12, pp.3034-3045, Dec. 2012
doi: 10.1109/TCSI.2012.2206438
- Charles Baylis II and Robert J. Marks II, "Evaluation of Harmonic Coupling Weights in Nonlinear Periodicity Preservation Systems," IEEE Transactions on Circuits and Systems I: Regular Papers, vol.59, no.12, pp.3024-3033, Dec. 2012
doi: 10.1109/TCSI.2012.2206441
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Fourier
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