On the exact solution to the 'gliding tone' problem

被引：0

作者：

Galleani, Lorenzo ^{[1
]}

Cohen, Leon ^{[1
]}

机构：

[1] City Univ of New York, New York, United States

来源：

IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP | 2000年

关键词：

Natural frequencies - Oscillators (electronic) - Probability distributions - Signal processing - Transfer functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：410 / 413