Generalization of the ManleyRowe relations for nonperiodic signals constrained in bandwidth with finite energy
Abstract
General relations for the energy spectral densities of nonperiodic signals constrained in bandwidth in nonlinear reactances are derived. It is assumed that the chargevoltage characteristics of the reactances are polynomials. In addition certain conditions for the frequency bands of the signals must be met. By contrast with the ManleyRowe relations integrals with respect to frequency appear instead of the ratios power over frequency. The integrands are energy spectral densities divided by frequency. For parametric devices inequalities can be derived for the ratios of the energy levels in the different circuits and the limiting frequencies of the energy spectral densities. With these inequalities it is possible to determine limits for the energy levels.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 April 1979
 Bibcode:
 1979STIN...7921274P
 Keywords:

 Nonlinearity;
 Reactance;
 Signal Transmission;
 Spectral Energy Distribution;
 Circuits;
 Communication Theory;
 Functions (Mathematics);
 Parametric Amplifiers;
 Power Spectra;
 Electronics and Electrical Engineering