Mathematics

• Signal Model
  • Model
    • Exponentical decay
    • Damped Oscillation
  • Instrument Response Function
    • Cauchy
    • Gaussian
    • Pseudo Voigt
  • Signal
    • Signal, Cauchy IRF
      • Exponential decay
      • Damped oscillation
    • Signal, Gaussian IRF
      • Exponential decay
      • Damped oscillation
    • Signal, Pseudo Voigt IRF
• Rate Equation
  • Relation between observed exponential component and species in rate equation
  • Dealing with raising Dynamics
• Associated Difference Spectrum
• Least Square Regression
  • Chi squared and maximum likelyhood estimation
  • Linear Least Square
  • Alternative Paramter Error Estimation
    • F-test based paramter error estimation
  • Compare two different fit
  • Seperation Scheme