Energy Norms and 2-Norms
This paper defines an energy norm or e-norm based on the energy delivered to some port in a system. It is expressible as a weighted 2-norm. Criteria are developed for the frequency spectrum of time-domain excitation waveforms to bound the 2-norms and e-norm at the port. Canonical incident waveforms are introduced to give convenient bounds.
KeywordsTransfer Function Energy Norm Step Response Effective Volume Interaction Note
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- 1.C.E. Baum, Black Box Bounds, Interaction Note 429, May 1983, and Proc. EMC Symposium, Zurich, 1985, pp. 381–386.Google Scholar
- 2.C.E. Baum, Some Bounds Concerning the Response of Linear Systems with a Nonlinear Element, Interaction Note 438, June 1984.Google Scholar
- 3.C.E. Baum, Norm Limiters Combined with Filters, Interaction Note 456, August 1986.Google Scholar
- 4.C.E. Baum, Transfer of Norms Through Black Boxes, Interaction Note 462, October 1987, and Proc. EMC Symposium, Zurich, March 1989, pp. 157–162.Google Scholar
- 5.C.E. Baum, Norms of Time-Domain Functions and Convolution Operators, Mathematics Note 86, December 1985, and chapter 2, pp. 31–55, in H.N. Kritikos and D.L. Jaggard (eds.), Recent Advances in Electromagnetic Theory, Springer-Verlag, 1990.Google Scholar
- 6.K.S.H. Lee, Relations Between Electric and Magnetic Polarizabilities and Other Related Quantities, Radio Science, 1987, pp. 1235–1238.Google Scholar
- 8.K.S.H. Lee, EMP Interaction: Principles, Techniques, and Reference Dqata, Hemisphere Publishing Corp., 1986.Google Scholar
- 9.C.E. Baum, Electromagnetic Sensors and Measurement Techniques, in J.E. Thompson and L.H. Luessen (eds.), Fast Electrical and Optical Measurements, Martinus Nijhoff, Dordrecht, 1986, Vol. 1, pp. 73–144.Google Scholar