Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh...
-
Upload
rafe-norris -
Category
Documents
-
view
223 -
download
5
Transcript of Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh...
![Page 1: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/1.jpg)
Recursive Discrete Time Oscillator with Dynamic Amplitude Control
G.K. Vikram (10115044)Arka Ghosh (10115024)
Debasmit Das (10115039)
![Page 2: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/2.jpg)
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.
![Page 3: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/3.jpg)
Recursive Oscillator
BLOCK DIAGRAM
![Page 4: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/4.jpg)
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 .
![Page 5: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/5.jpg)
a=0.5 ,b=-3,c=0.25,d=0.5
![Page 6: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/6.jpg)
![Page 7: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/7.jpg)
a=0.5 , b=3, c=0.5 , d=0.6??
![Page 8: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/8.jpg)
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
![Page 9: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/9.jpg)
![Page 10: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/10.jpg)
![Page 11: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/11.jpg)
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
![Page 12: Recursive Discrete Time Oscillator with Dynamic Amplitude Control G.K. Vikram (10115044) Arka Ghosh (10115024) Debasmit Das (10115039)](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f005503460f94c1633d/html5/thumbnails/12.jpg)
THANK YOU
SPECIAL THANKS TO DR. P. SUMATHI