Application of Cohn's sensitivity theorem to time domain responses
Dahlvig, Alan Lee
Parker, Sydney R.
MetadataShow full item record
A sensitivity theorem by R. M. Cohn states that for linear resistive circuits the ratio of a fractional change in the d,c, input resistance to a fractional change in an internal resistance is equal to the square of the ratio of the current through that internal resistance to the d.c. input current. The theorem is extended to show the sensitivity of input impedance to changes in internal impedances for an arbitrary network at all frequencies. Equations are developed which show the relation between sensitivities and instantaneous power in the frequency domain. An extension to the time domain makes digital computer solutions possible.
Approved for public release; distribution is unlimited
Showing items related by title, author, creator and subject.
Gironella, Celso Espiritu (Monterey, California. Naval Postgraduate School, 1973-09);Network functions and sensitivity expressions for linear networks are reviewed for networks with single unilateral or bilateral immittances and the corresponding extension to the general case of n variable immittances. The ...
Kao, Chih-Chung (Monterey, California. Naval Postgraduate School, 1989-12);An acoustic tomography array consisting of six transceiver moorings was jointly deployed by Woods Hole Oceanographic Institution and Scripps Institution of Oceanography in the Greenland Sea during the second half of ...
Watanabe, Satosi (American Physical Society, 1955-01);In default of the theorem of "detailed balance": Pi;=P;i, with regard to elementary transition probabilities, several "balance" theorems are introduced and proved on the basis of symmetry of physical laws in space-time. ...