Topics In the Theory of Random Noise, Volume 2In two main sections, this volume covers peaks of random functions and the effects of noise on relays and nonlinear self-excited oscillations in the presence of noise. Includes bibliographic references and index. |
Contents
The Mean Number of Peaks of a Random Function | 3 |
The Duration of Peaks of a Markov Process | 21 |
Smoothly Varying Noise and its Effect on Relays 51 552 | 51 |
PART 2 NONLINEAR SELFEXCITED | 85 |
Methods of Solving the Simplified Equations | 120 |
Effect of Weak Internal Noise on an Oscillator | 147 |
Effect of Strong External Noise on an Oscillator | 170 |
Effect of Slowly Varying Ambient Noise on | 193 |
The Correlation Function and the Spectral | 199 |
Large Independent Phase Increments | 207 |
Modulation of SelfExcited Oscillations by Noise | 215 |
Synchronization of an Oscillator in the Presence | 222 |
Parametric Oscillations | 277 |
| 323 | |
Common terms and phrases
2Tsm A₁ amplitude and phase amplitude fluctuations anode anode current applied approximation average C₁ calculate Chap characteristic function circuit clusters coefficient component condition constant correlation function corresponding derivative described deviations excitation expression fact Figure fluctuational terms Fokker-Planck equation follows formula fundamental frequency Gaussian Gaussian process hence integral lation linearization method Markov process mean number mismatch n₁ nonlinear number of peaks obtain oscillatory terms P₁ parameter peak durations peaks and intervals phase fluctuations probability density process x(t pulse quantity R₂ random function random process Rayleigh distribution region relay representative point result satisfied self-excited oscillations shot noise signal smoothly varying spectral density spectral line stationary distribution statistically independent Substituting t₁ taking account Tcor total number transform values voltage w₁ w₂ z₁ zero δφ επο