Non-Linear Transformations of Stochastic Processes

• Publisher: Elsevier Ltd
• Year: 1965
• Tongue: English
• Leaves: 496
• Category: Library

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
FOREWORD TO ENGLISH EDITION, Pages viii-ix, D.C. COOPER, O.M. BLUNN
AUTHORS' FOREWORD, Pages x-xii
FOREWORD, Pages xiii-xvi, R. FORTET
1 - THE TRANSMISSION OF CERTAIN RANDOM FUNCTIONS THROUGH LINEAR SYSTEMS, Pages 3-28, P.I. KUZNETSOV, R.L. STRATONOVICH, V.I. TIKHONOV
2 - THE TRANSMISSION OF RANDOM FUNCTIONS THROUGH NON-LINEAR SYSTEMS, Pages 29-58, P.I. KUZNETSOV, R.L. STRATONOVICH, V.I. TIKHONOV
3 - QUASI-MOMENT FUNCTIONS IN THE THEORY OF RANDOM PROCESSES, Pages 59-63, P.I. KUZNETSOV, R.L. STRATONOVICH, V.I. TIKHONOV
4 - THE EFFECT OF NON-NORMAL FLUCTUATIONS ON LINEAR SYSTEMS, Pages 64-76, V.I. TIKHONOV, A.A. TOLKACHEV
5 - CORRELATION FUNCTIONS IN THE THEORY OF THE BROWNIAN MOTION GENERALIZATION OF THE FOKKER-PLANCK EQUATION, Pages 77-100, P.I. KUZNETSOV, R.L. STRATONOVICH, V.I. TIKHONOV
6 - A NOTE ON THE MATHEMATICAL THEORY OF CORRELATED RANDOM POINTS, Pages 101-115, P.I. KUZNETSOV, R.L. STRATONOVICH
7 - THE CORRELATION FUNCTIONS OF RANDOM SEQUENCES OF RECTANGULAR PULSES, Pages 116-133, I.N. AMIANTOV, V.I. TIKHONOV
8 - A METHOD OF DETERMINING THE ENVELOPE OF QUASI-HARMONIC FLUCTUATIONS, Pages 137-142, V.I. TIKHONOV
9 - THE EFFECT OF ELECTRICAL FLUCTUATIONS ON A DETECTOR: (ENVELOPE METHOD), Pages 143-156, V.I. TIKHONOV
10 - THE EFFECT OF FLUCTUATIONS ON A DETECTOR AND FILTER, Pages 157-166, V.I. TIKHONOV
11 - A NOTE ON THE PROBLEM OF MEASURING ELECTRICAL FLUCTUATIONS WITH THE AID OF THERMOELECTRIC DEVICES, Pages 167-174, V.I. TIKHONOV
12 - THE RESPONSE OF TYPICAL NON-LINEAR ELEMENTS TO NORMALLY FLUCTUATING INPUTS, Pages 175-186, I.N. AMIANTOV, V.I. TIKHONOV
13 - THE EFFECT OF SIGNAL AND NOISE ON NON-LINEAR ELEMENTS: (THE DIRECT METHOD), Pages 187-203, V.I. TIKHONOV, I.N. AMIANTOV
14 - APPROXIMATE METHOD OF CALCULATING THE CORRELATION FUNCTION OF STOCHASTIC SIGNALS, Pages 204-208, V.I. TIKHONOV
15 - THE EFFECT OF FLUCTUATIONS ON THE OPERATION OF AN AUTOMATIC RANGE FINDER, Pages 209-219, I.N. AMIANTOV, V.I. TIKHONOV
16 - THE EFFECT OF ELECTRICAL FLUCTUATIONS ON A VALVE OSCILLATOR, Pages 223-228, P.I. KUZNETSOV, R.L. STRATONOVICH, V.I. TIKHONOV
17 - THE EFFECT OF SMALL FLUCTUATIONS ON OSCILLATOR OPERATION, Pages 229-243, V.I. TIKHONOV
18 - THE FLUCTUATING NATURE OF THE ESTABLISHMENT OF OSCILLATION AMPLITUDE IN AN OSCILLATOR, Pages 244-251, V.L. TIKHONOV
19 - THE EFFECT OF SLOW FLUCTUATIONS ON AN OSCILLATOR, Pages 252-258, V.I. TIKHONOV, I.N. AMIANTOV
20 - THE EFFECT OF NOISE ON AN OSCILLATOR WITH FIXED EXCITATION, Pages 259-268, R.L. STRATONOVICH, P.S. LANDA
21 - OSCILLATOR SYNCHRONIZATION IN THE PRESENCE OF NOISE, Pages 269-282, R.L. STRATONOVICH
22 - ESTABLISHMENT OF THE SYNCHRONOUS PHASE IN A SELF-OSCILLATORY CIRCUIT IN THE PRESENCE OF NOISE, Pages 283-289, I.G. AKOPYAN, R.L. STRATONÓVICH
23 - ESTABLISHMENT OF AMPLITUDE IN A SYNCHRONIZED OSCILLATOR IN THE PRESENCE OF FLUCTUATION NOISE, Pages 290-297, I.G. AKOPYAN, R.L. STRATONOVICH
24 - THE EFFECT OF NOISE ON THE OPERATION OF A PHASE AFC CIRCUIT, Pages 298-309, V.I. TIKHONOV
25 - OPERATION OF A PHASE AFC CIRCUIT IN THE PRESENCE OF NOISE, Pages 310-321, V.I. TIKHONOV
26 - PARAMETRIC EFFECT OF A RANDOM FORCE ON LINEAR AND NON-LINEAR OSCILLATORY SYSTEMS, Pages 322-326, R.L. STRATONOVICH, Yu.M. ROMANOVSKII
27 - THE SIMULTANEOUS PARAMETRIC EFFECT OF A HARMONIC AND RANDOM FORCE ON OSCILLATORY SYSTEMS, Pages 327-338, R.L. STRATONOVICH, YU.M. ROMANOVSKII
28 - ON THE DURATION OF EXCURSIONS OF RANDOM FUNCTIONS, Pages 341-353, P.I. KUZNETSOV, R.L. STRATONOVICH, V.I. TIKHONOV
29 - THE DISTRIBUTION OF THE DURATION OF EXCURSIONS OF NORMAL FLUCTUATIONS, Pages 354-367, V.I. TIKHONOV
30 - AN EXPERIMENTAL STUDY OF THE LENGTH DISTRIBUTION LAW OF FLUCTUATION EXCURSIONS, Pages 368-374, V.I. TIKHONOV
31 - FLUCTUATION EXCURSIONS AND THEIR CORRELATION, Pages 375-381, V.I. TIKHONOV
32 - PROBABILITY DENSITIES FOR THE DURATION OF FLUCTUATION EXCURSIONS, Pages 382-395, V.I. TIKHONOV, I.N. AMIANTOV
33 - THE EFFECT OF DIFFERENTIATING AND INTEGRATING ON THE AVERAGE NUMBER OF EXCURSIONS, Pages 396-402, V.I. TIKHONOV
34 - THE CONDITIONAL DISTRIBUTION OF CORRELATED RANDOM POINTS AND THE USE OF CORRELATION FOR OPTIMUM FILTRATION OF A PULSE SIGNAL FROM NOISE, Pages 405-421, R.L. STRATONOVICH
35 - A CONTRIBUTION TO THE THEORY OF OPTIMUM NON-LINEAR FILTRATION OF RANDOM FUNCTIONS, Pages 422-426, R.L. STRATONOVICH
36 - CONDITIONAL MARKOV PROCESSES, Pages 427-453, R.L. STRATONOVICH
37 - OPTIMUM NON-LINEAR SYSTEMS FOR ISOLATING A SIGNAL WITH CONSTANT PARAMETERS FROM NOISE, Pages 454-466, R.L. STRATONOVICH
38 - APPLICATION OF THE THEORY OF MARKOV PROCESSES TO THE OPTIMUM FILTRATION OF SIGNALS, Pages 467-484, R.L. STRATONOVICH
39 - SOME PROBLEMS IN CONDITIONAL PROBABILITY AND QUASI-MOMENT FUNCTIONS, Pages 485-493, P.I. KUZNETSOV, R.L. STRATONOVICH, V.I. TIKHONOV
SUBJECT INDEX, Pages 495-498