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Cascaded Filters

Cascaded Filters. Approximate and Exact Solutions. 2 stage lpf. Second stage: R 2 = 500 k W C 2 = 1 m F. Ratios: R 2 / R 1 = 10 C 2 / C 1 = 1/10. First stage: R 1 = 50 k W C 1 = 10 m F. 1-stage vs. 2-stage. (dB). ( deg ). Approximate solution. (dB). ( deg ).

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Cascaded Filters

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  1. Cascaded Filters Approximate and Exact Solutions

  2. 2 stage lpf • Second stage: • R2 = 500 kW • C2 = 1 mF • Ratios: • R2/R1 = 10 • C2/C1= 1/10 • First stage: • R1 = 50 kW • C1 = 10 mF

  3. 1-stage vs. 2-stage (dB) (deg)

  4. Approximate solution (dB) (deg)

  5. Exact solution (dB) (deg)

  6. Comparison of Approximate and Exact Solutions • Drum Roll Please…

  7. They’re practically the same... (dB) Provided you design properly with Rule of 10x (deg)

  8. What’s it good for?

  9. Get rid of bieber • Beauty and the Beat • Sweet bass line (f <= 150 Hz) • Screechy Bieber vocals (f >= 450 Hz) • Raw song SNR = Bass/Bieber = ½ • Design a circuit that: • increases SNR >= 2 • keeps phase shift for bass frequencies |f|<= 80 deg.

  10. Cutoff freq shifts left -3 dB

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