Recursive Oscillators
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This document describes a recursive discrete time oscillator with dynamic amplitude control. The oscillator is numerical and described by a recurrence relation. Automatic gain control is used to prevent instability by tuning the gain according to the amplitude of the signal, applying more gain for weak signals and less gain for strong signals. The state equation and parameters for the recursive oscillator determine whether it is stable. References on discrete time oscillators and digital signal processing are provided.
Recursive Oscillators
- 1. Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)
- 2. TWO ENTITIES • Recursive Oscillator – It is a numerical oscillator which can be described by a recurrence relation. • Dynamic amplitude control - The control technique used is Automatic Gain Control. It is used to encounter accidental instability.
- 4. STATE EQUATION |zI – A | = 0 and |z|=1 Yields the condition of a sustained oscillations - ad – bc =1 and | a+d | < 2 So these parameters determine whether the oscillator is stable .
- 7. a=0.5 , b=3, c=0.5 , d=0.6??
- 8. Calls for Automatic Gain Control • Gain is tuned according to the amplitude of the signal • If signal is weak then gain should be large and if signal is strong gain should be weak. • Applications : Radio Sets , Amplifiers • No Approximation of Gain required
- 11. REFERENCES • Clay S. Turner , A Discrete Time Oscillator for a DSP based Radio • Clay S. Turner, DSP Tips & Tricks, IEEE Signal Processing Magazine • www.google.co.in
- 12. THANK YOU SPECIAL THANKS TO DR. P. SUMATHI