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ELEC 412 RF & Microwave Engineering

ELEC 412 RF & Microwave Engineering. Fall 2004 Lecture 11. RF Filter Design – Basic Filter Types. Filter Attenuation Profiles. RF Filter Parameters. Insertion Loss: Ripple Bandwidth: BW 3dB = f u 3dB – f L 3dB Shape Factor: Rejection. Low-Pass Filter.

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ELEC 412 RF & Microwave Engineering

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  1. ELEC 412 RF & Microwave Engineering Fall 2004 Lecture 11

  2. RF Filter Design – Basic Filter Types

  3. Filter Attenuation Profiles

  4. RF Filter Parameters • Insertion Loss: • Ripple • Bandwidth: BW 3dB = fu3dB – fL3dB • Shape Factor: • Rejection

  5. Low-Pass Filter Cascading four ABCD-networks.

  6. RF Filter Parameters Cascading four ABCD-networks.

  7. Low-Pass Filter Frequency Response • Frequency Response from the ABCD Definitions: • So the Transfer Function is Simply:

  8. Low-Pass Filter Frequency Response • Corresponding Phase is: • Group Delay:

  9. High-Pass Filter

  10. High-Pass Filter Frequency Response • Frequency Response from the ABCD Definitions: • So the Transfer Function is Simply:

  11. High-Pass Filter Frequency Response • For   : • Inductive Influence Can Be Neglected

  12. Low-Pass Filter Realizations

  13. Low-Pass Butterworth Filter Coefficients

  14. Low-Pass Butterworth Filter Attenuation

  15. Low-Pass Linear-Phase Filter Coefficients

  16. Chebyshev-Type Filters

  17. Chebyshev-Type Filters

  18. Chebyshev-Type Filter Response Response for 3 dB ripple Chebyshev LPF

  19. Chebyshev-Type Filter Response Response for 0.5 dB ripple Chebyshev LPF

  20. Low-Pass Chebysev Filter Coefficients – 3 dB Ripple

  21. Low-Pass Chebysev Filter Coefficients – 0.5 dB Ripple

  22. Standard Low-Pass Filter Design • The normalized inductors and capacitors (g1, g2 , ... , gN ) are denormalized using: and where Cn , Ln , are the gn normalized values from the tables

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