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Bandpass Filter

Bandpass Filter. Approximate and Exact Solutions. The Circuit. Low-Pass Section R1 = 1k C1 = 10 nF High-Pass Section R2 = 100k C2 = 10 nF. Results for Ideal Cascade. Decibel gain. Phase shift. Transfer function: Ideal Cascade. Results for Exact Solution. Decibel gain. Phase shift.

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Bandpass Filter

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  1. Bandpass Filter Approximate and Exact Solutions

  2. The Circuit Low-Pass Section R1 = 1k C1 = 10 nF High-Pass Section R2 = 100k C2 = 10 nF

  3. Results for Ideal Cascade Decibel gain Phase shift

  4. Transfer function: Ideal Cascade

  5. Results for Exact Solution Decibel gain Phase shift

  6. Transfer function: exact solution

  7. Comparison of Solutions Drum Roll Please…

  8. Decibel Gain

  9. Phase Shift

  10. Transfer Function

  11. Is it always that easy? Yes, it can be! … But design carefully!!

  12. Now modify the circuit Low-Pass Section R1 = 1k C1 = 10 nF High-Pass Section R2 = 100k/100 = 1k C2 = 10*100 nF = 1uF High pass modified

  13. Comparison of Solutions Drum Roll Please…

  14. Boo—big loss of signal that is supposed to pass! Blue = approximated solution, assuming “ideal” behavior Red = exact/actual solution

  15. Slithery snake: phase shift

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