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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

Cascaded Filters

Approximate and Exact Solutions

2 stage lpf
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
they re practically the same
They’re practically the same...

(dB)

Provided you design properly

with Rule of 10x

(deg)

slide9

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.