Dissertation > Excellent graduate degree dissertation topics show

Study of an Integrate-and-discharge Model with Symbolic Dynamics

Author: ChenChong
Tutor: ZhangHong
School: Zhejiang University
Course: Biomedical Engineering
Keywords: integrate-and-discharge model symbolic dynamics chaos nonlinearcircuit parameter estimation
CLC: TP391.9
Type: Master's thesis
Year: 2013
Downloads: 1
Quote: 0
Read: Download Dissertation

Abstract


Based on symbolic analysis, a new parameter estimation method of an Integrate-and-Fire model (1FM) is proposed. With varying threshold modulations, the IFM can output many kinds of spike-trains. And their dynamics can be described using circle map. With symbolic dynamics, we can get the symbols of the IFM by directly measuring the phase. Using the formalism of Markov chain, a cost function has been given in this paper to find the optimal parameters of the model. The minimum of this function yields a good estimate for the model parameters. The computer simulations prove that the method is effective even when the symbol sequence is short and corrupted by a significant amount of noise.Then an integrate-and-discharge model (IDM) is proposed based on an integrate-and-fire model (IFM). Compare to the IFM, the IDM can get rich dynamics including chaos, phase locking, etc., without using varying threshold modulation. The corresponding relation between output symbolic sequences and parameters (i.e., frequency, amplitude, resistance and capacity) of the IDM is established by applied symbolic dynamics. Moreover, a method of obtaining symbolic sequence as well as an ordering rule is presented. Simulation and circuit experiment have validated the method and the rule. The results of circuit experiment show that frequency resolution can reach up to0.05Hz in some frequency ranges and amplitude resolution can reach up to1uA.

Related Dissertations

  1. Research on Direct Sequence Spread Spectrum Signal Detection and Parameter Estimation,TN914.42
  2. Modulation Pattern Recognition and Parameter Estimation for Ground Wave Radiation Sources,TN957.51
  3. Research on synchronization control of chaotic systems,O415.5
  4. The Research of Chaos M-ary Modulation and Demodulation Method Based on Chaotic Oscillator,TN915.05
  5. The Research and Application of Software Reliability Test for User Right Management System,TP311.53
  6. With Delay fishing items and based on the ratio of prey - predator model,O175
  7. Differences of mathematics, dissipative structures and chaos in the system \,O415.5
  8. Study on Synchronization of Time-delayed Chaotic System and Its Experimental Realized,O415.5
  9. Steady-state Identification and Optimization of Grinding Process,TD921.4
  10. Research of Rotor Dynamics Characteristics under the Action of Air Force,TH113
  11. Process Simulation Technology and Its Application in Continuous Reforming Unit,TE624.42
  12. Two discrete Leslie predator -prey system stability and bifurcation analysis,O175.13
  13. Study on Degradation Assessment of Oil-Paper Insulation and Feature Extracting of Partial Discharge of Transformer Based on Chaos Theory,TM401.2
  14. Study on Optimization Modeling and Intelligent Control of Alcohol-based Fuel Boiler Combustion System,TK223.2
  15. Distribution Network Planning Including Distributed Generation,TM715
  16. Hydrolysis of corn stover sugar fermentation kinetics of ethanol,TQ920.1
  17. Analysis and Prediction of Subsidence Time Series,TD325
  18. Based on the parameters perturbation Hyperchaotic locate underground communications anti-collision protocol,TD76
  19. Chaos Dynamic Analysis on Nonlinear Rock Beam of Rock Burst,TD324
  20. Experimental Research of the Plasma Signal in the Process of CO2 Laser Welding,TG456.7
  21. Non-linear Analysis on the Electrostatic Precipitator Positive Plate Stroken System,X701.2

CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > Computer applications > Information processing (information processing) > Computer simulation
© 2012 www.DissertationTopic.Net  Mobile