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Tables of Contents for Stochastic Resonance
Chapter/Section Title
Page #
Page Count
Foreword
xi
Preface
xiii
Acknowledgement
xv
Part 1 Theory
Review of noise added systems literature
Introduction
3
1
Noise characterisation
3
12
Taxonomy of noise
4
1
Mathematics of noise
5
6
Signal recovery from noise
11
4
Relevant bibliography on noise-added systems
15
6
An overview of noise added systems
Introduction
21
2
The Stochastic Resonance Theory
23
31
Stochastic Resonance in Brownian motion
24
5
The Residence Time
29
1
The Signal-to-Noise Ratio
30
1
The influence of the forcing signal parameters on Stochastic Resonance conditions
31
2
An overview of the QDW system: stochastic driving, periodic driving, Stoschastic Resonance condition
33
21
Stochastic Resonance in multistable systems
54
1
Simulation tools for Stochastic Resonance observations
54
5
Digitisation and dithering
59
11
The effective bits
63
1
Oversampling A/D conversion
64
3
The Dithering technique
67
2
Dithering in threshold systems
69
1
Stochastic Resonance and dithering
70
5
A probabilistic approach to noise-added systems
Introduction
75
1
An overview of the optimisation approach
76
2
A form for the index W in a bistable system
78
13
The mathematical determination of optimal noise variance
80
5
Matching the physical system: evaluation of the F(N) expression
85
6
Noise modulation in quasi-linear systems
91
12
An overview of quasi-linear system
91
2
Threshold error reduction in measuring devices
93
2
The noise optimisation procedure
95
4
The detection of an optimal noise variance value
99
4
Analog noise generation via non-linear device
Introduction: the problem of noise generation
103
1
Non-linear systems for the analog generation of noise signals
103
9
An overview of the Chua circuit topology
104
2
Numerical simulation of the Chua circuit
106
2
A Gaussian like noise generation
108
1
A Uniform like noise generation
108
4
An Overview of Cellular Neural Networks (CNNs)
112
11
The Chua circuit implemented by CNN
115
1
The Gaussian generator implemented by CNN
115
8
Part 2 Application
Applications
Introduction
123
1
Threshold reduction in an electronic comparator
123
3
A virtual instrument for reducing threshold error
124
2
Threshold reduction in a Schmitt Trigger
126
10
A virtual DDE-based tool for the automatic evaluation of F(N)
127
1
Experimental Results
127
4
Noise control law implementation
131
2
A virtual instrument for optimal noise variance detection
133
1
Analog implementation of the noise variance tuning system
134
2
Damped traveling waves in non autonomous CNNs by noise modulation
136
3
Threshold error reduction in an optical transmission system by suitable noise modulation
139
4
A noise acted IR sensor for displacement measurement
143
11
Threshold error reduction via noise modulation
147
7
Dithering in an A/D converter
154
4
Linearisation of an Hall effect switching sensor by noise modulation
158
2
A teaching device for the comprehension of noise acted-systems
160
9
Analog implementation of the QDW
160
1
A development environment for the study of phenomena connected with the QDW
161
8
Signal recovery based on a QDW approach
169
8
A virtual instrument for noise corrupted harmonic recovery
170
7
The Nass simulation Environment
Introduction
177
1
The NASS code
177
10
Bistable systems
178
1
Linear system
179
8
Appendix A. Bibliography on noise acted systems
187
24
Appendix B. The χ2 test
211
8
References by Keywords
219