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Analysis and Simulation of Noise in Nonlinear Electronic Circuits and Systems Softcover reprint of the original 1st ed. 1998 [Pehme köide]

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The existence of electrical noise is basically due to the fact that electrical charge is not continuous but is carried in discrete amounts equal to the electron charge. Electrical noise represents a fundamental limit on the performance of electronic circuits and systems. With the explosive growth in the personal mobile communications market, the need for noise analysis/simulation techniques for nonlinear electronic circuits and systems has been re-emphasized.
Even though most of the signal processing is done in the digital domain, every wireless communication device has an analog front-end which is usually the bottleneck in the design of the whole system. The requirements for low-power operation and higher levels of integration create new challenges in the design of the analog signal processing subsystems of these mobile communication devices. The effect of noise on the performance of these inherently nonlinear analog circuits is becoming more and more significant.
Analysis and Simulation of Noise in Nonlinear Electronic Circuits and Systems presents analysis, simulation and characterization techniques and behavioral models for noise in nonlinear electronic circuits and systems, along with practical examples. This book treats the problem within the framework of, and using techniques from, the probabilistic theory of stochastic processes and stochastic differential systems.
Analysis and Simulation of Noise in Nonlinear Electronic Circuits and Systems will be of interest to RF/analog designers as well as engineers interested in stochastic modeling and simulation.

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Springer Book Archives
1. Introduction.-
2. Mathematical Background.- 2.1 Probability and
Random Variables.- 2.2 Stochastic Processes.- 2.3 Filtering of Stochastic
Processes with Linear Transformations.- 2.4 Matrix Algebra, Linear
Differential Equations and Floquet Theory.- 2.5 Stochastic Differential
Equations and Systems.-
3. Noise Models.- 3.1 Physical Origins of Electrical
Noise.- 3.2 Model for Shot Noise as a Stochastic Process.- 3.3 Model for
Thermal Noise as a Stochastic Process.- 3.4 Models for Correlated or
non-White Noise.- 3.5 Summary.-
4. Overview of Noise Simulation for Nonlinear
Electronic Circuits.- 4.1 Overview.- 4.2 Noise Simulation with LTI
Transformations.- 4.3 Noise Simulation with LPTV Transformations.- 4.4 Monte
Carlo Noise Simulation with Direct Numerical Integration.- 4.5 Summary.-
5.
Time-Domain Non-Monte Carlo Noise Simulation.- 5.1 Formulation of Circuit
Equations with Noise.- 5.2 Probabilistic Characterization of the Circuit with
Noise.- 5.3 Small Noise Expansion.- 5.4 Derivation of a Linear Time Varying
SDE Model for Noise Analysis.- 5.5 Derivation of Linear Time Varying ODEs for
the Autocorrelation Matrix.- 5.6 Solution of the Linear Time Varying ODEs for
the Autocorrelation Matrix.- 5.7 Numerical Computation of the Autocorrelation
Matrix.- 5.8 Alternative ODEs for the Autocorrelation Matrix.- 5.9
Time-Invariant and Periodic Steady-State.- 5.10 Examples.- 5.11 Summary.-
6.
Noise in Free Running Oscillators.- 6.1 Phase Noise and Timing Jitter
Concepts.- 6.2 Phase Noise Characterization with Time Domain Noise
Simulation.- 6.3 Phase Noise: Same at All Nodes.- 6.4 Kaertners Work on
Phase Noise.- 6.5 Alternative Phase Noise Characterization Algorithm.- 6.6
Non-White Noise Sources and Phase Noise.- 6.7 Phase Noise of Phase-Locked
Loops.- 6.8 Summary.-
7. BehavioralModeling and Simulation of Phase-Locked
Loops.- 7.1 PLLs for Clock Generators and Frequency Synthesizers.- 7.2
Behavioral Models of PLL Components.- 7.3 Behavioral Simulation Algorithm.-
7.4 Post Processing for Spurious Tones and Timing Jitter/Phase Noise.- 7.5
Examples.- 7.6 Summary.-
8. Conclusions and Future Work.- References.- Index>.