1,723,313 research outputs found
Cohen, L S, NX58161
This record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/377911Surname: COHEN
Given Name(s) or Initials: L S
Military Service Number or Last Known Location: NX58161
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 51582191725
Item: [2016.0049.10206] "Cohen, L S, NX58161
On the exact solution to the 'gliding tone' problem
The gliding tone problem is the response of a resonant circuit when the driving force is a gliding tone, that is a chirp. The problem was first considered by Barber and Ursell, and independently by Hok, both papers appearing in 1948. Barber and Ursell, and Hok, and subsequent investigators considered approximate solutions and attempted to qualitatively understand the behavior of the response. An exact solution has never been obtained. We have found the exact Wigner distribution of the solution. This allows one to study the nature of the solution without any approximations. We have obtained the exact solution by way of a new method to study dynamical systems
Direct Time-Frequency Characterization of Linear Systems Governed by Differential Equations
We present a new method to study linear systems that exhibit time-varying characteristics and are governed by ordinary differential equations. The method transforms the differential equation into the governing equation for the ambiguity function and to the time-frequency domain. The advantage of the method is that in the new domain an immense simplification occurs, both mathematically and physically. The method applies to both deterministic and stochastic differential equations. The approach is applied to the classical RC filter driven by white noise. We obtain a new characterization of the output spectra
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