The Signal and Parametrical Invariance of the Electron Devices. Monograph. – Tomsk: TUSUR, 2007. –- 250 pp.

Microwave devices with characteristics invariance to effect and state parameters are investigated. State-of-the-art and systematized statement of the signal and parametrical invariance problem has been carried out. From the review, the basic directions of improvement of device characteristics are revealed. It is offered to use property of invariance for parametrical synthesis of devices. Decision of the phase invariance problem in domain of condition parameters and frequency band, questions of circuitry phase-invariance devices are stated. The theory of differential transformation is advanced for the practical use of this operational method at modeling of the complex nonlinear dynamic systems. Results are useful at creation of new and modernizations of existing electron devices.

For experts working in the field of development and modeling of microwave devices of radio electronics and control systems.

 

CONTENTS

Introduction
Chapter 1. Invariance of the dynamic system characteristics
1.1. Dynamic system
1.2. Invariance of control systems
1.3. Asymptotic invariance
1.4. The geometrical approach to invariance
1.5. Generalization of conditions of invariance for linear system in the state field
1.6. Invariance of nonlinear system
1.7. Rank and defect of invariance
1.8. Algorithm of synthesis of invariant system
1.9. Parametrical and signal invariance
1.10. Generalization of invariance, sensitivity, and stability theories
1.11. Invariance of radio technique devices
1.12. Conclusions

Chapter 2. The theory and application of differential transformation
2.1. Direct and return differential transformation
2.2. Properties of differential transformation
2.3. The table of differential transformation for the elementary functions
2.4. Design of the transfer functions on the basis of differential transformation of the linear system temporal characteristics
2.5. A direct method of the decision of the linear differential equations with constant factors by the method of differential transformation
2.6. Example of calculation of the nonlinear electric circuit response with differential transformation
2.7. Accuracy estimation of restoration of the differential equation on differential spectrum discrets
2.8. Differential transformation and asymptotic methods
2.9. Parametrical synthesis of nonlinear devices with differential transformation
2.10. Calculation of the transistor amplifier by method of differential transformation
2.11. Increase of accuracy of discret calculation
2.12. Differential-exponential transformation
2.13. Differential-Chebyshev transformation
2.14. Differential-Chebyshev transformation with displaced Chebyshev polynomials
2.15. A problem of expediency of differential transformation transition to anothers polynomial bases
2.16. Decision of badly caused systems of equations with transition to Chebyshev bases
2.17. Approximation and digitization of measurementresults of analog signal with use of differential transformation
2.18 Comparison with Runge-Kutta method of the fourth order and use of arithmetics with the big word length
2.19 Differential transformation in problems of systems and device characteristics
2.20. Conclusions

Chapter 3. The signal-parametrical invariance of response of nonlinear dynamic system to effect amplitude
3.1. A problem of signal-parametrical invariance
3.2. Condition of overcontrol invariance to the effect amplitude
3.3. Optimization of system by criterion of minimum of invariance defect for the overcontrol function
3.4. Invariance of rise-time of the pulse response for nonlinear system to the effect amplitude
3.5. Optimization of system by criterion of minimum of invariance defect
3.6. Invariance and asymptopic equivalence
3.7. Speeding up of characteristics of the superbroadband Darlington amplifier
3.8. An estimation and minimization of nonlinear distortions in the pulse system
3.9. Conclusions

Chapter 4. The phase invariance of linear system to condition parameters
4.1. Problem of phase invariance
4.2. Design of the phase invariance attenuator
4.3. Methods of analysis and optimization of the phase-invariant voltage controlled attenuator characteristics
4.4. Phase ratios in compensated attenuator
4.5. Necessary and sufficient condition of the phase shift invariance to amplitude-frequency characteristics
4.6. Optimization of systems invariance to state parameters on the basis of temporal functions
4.7. The optimum control of state variables in the phase-invariant systems
4.8. Necessary condition of minimum phase shift in the phase-invariant system
4.9. The base structure of the П-phase-invariant attenuator
4.10. A base T-shaped phase-invariant attenuator
4.11. A base part П-attenuator with the phase contour
4.12. Limiting value of minimum phase shift in the attenuation range and working frequency band
4.13. Voltage-controlled attenuator on field-effect transistors
4.14. Digital control of attenuator
4.15. Application of the phase-invariant devices for the decision of problem of restoration of the signal form
4.16. Conclusions

Conclusions
References
Appendix