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Low-Pass Filter Design Example

Learn how to design a low-pass filter with a cutoff frequency of 900 MHz and a stop-band attenuation of 18 dB at 1.8 GHz. This lecture provides step-by-step instructions and transformations for designing the filter.

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Low-Pass Filter Design Example

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  1. ELEC 412 RF & Microwave Engineering Fall 2004 Lecture 12

  2. Low-Pass Filter Design Example • Design a Low-Pass Filter with cut-off frequency of 900 MHz and a stop band attenuation of 18 dB @1.8 GHz. • From the Butterworth Nomograph, Amax = 1 and Amin = 18. Amax = 1 since unity gain. And the order of the filter is N = 3. • From Butterworth Tables, g1 = g3=1.0 and g2 = 2.

  3. Low-Pass Filter Design Example • De-Normalized Values For the Tee-Configuration Low-Pass Filter Are:

  4. Low-Pass Filter Design Example

  5. Low- To High-Pass Transformation • Transform the Low-Pass Filter Normalized Component Values to the Normalized High-Pass Values • Inductors in Low-Pass Configuration Become Capacitors in High-Pass. • Capacitors in Low-Pass Configuration Become Inductors in High-Pass

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

  7. De-Normalizing Filter Component Values • All Normalized Component Values Are De-Normalized Using the Following: and

  8. Transformation From Low-Pass Filter

  9. Normalized Low- to Band-Pass Filter Transformation • Normalized Band-Pass Shunt Elements from Shunt Low-Pass Capacitor:

  10. Normalized Low- to Band-Pass Filter Transformation • Normalized Band-Pass Series Elements from Series Low-Pass Inductor:

  11. Normalized Low- to Band-Stop Filter Transformation • Normalized Band-Stop Shunt Component Values from Low-Pass Shunt Capacitor:

  12. Normalized Low- to Band-Stop Filter Transformation • Normalized Band-Stop Series Component Values from Low-Pass Series Inductor:

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