Bode_plot_guide

# Bode_plot_guide - BODE PLOT S-PLANE REVIEW N O N IN V E R T...

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BODE PLOT: LET s = j ω MAGNITUDE PHASE BODE PLOT - S-PLANE REVIEW + K TERM IN H(s) S-PLANE σ j ω ω |H| [dB] ω H [deg] + K = K K = tan " 1 0/ K ( ) = 0 NONINVERTING DC GAIN (NOT VISIBLE IN S-PLANE) 20log K ( ) " K σ j ω ω |H| [dB] ω H [deg] -180° " K = K " K = tan " 1 0/ " K ( ) = " 180 INVERTING DC GAIN (NOT VISIBLE IN S-PLANE) 20log K ( )

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BODE PLOT: LET s = j ω MAGNITUDE PHASE 1 + s " ZL TERM IN H(s) S-PLANE σ j ω " 1 # ZL ω |H| [dB] ω H [deg] +90° +45° +20dB/dec 1 + j "# ZL = 1 2 + "# ZL ( ) 2 1 + j "# ZL = tan \$ 1 "# ZL ( ) 1 " ZL s " ZO σ j ω ω ω +20dB/dec 0 + j "# ZO = "# ZO 0 + j "# ZL = tan \$ 1 "# ZL 0 % & ( ) * = + 90 o 1 " ZO 1 " s # ZR σ j ω 1 " ZR ω ω +20dB/dec 1 " j #\$ ZR = 1 2 + #\$ ZR ( ) 2 1 " j #\$ ZR = tan " 1 " #\$ ZR ( ) 1 " ZR |H| [dB] H [deg] +90° |H| [dB] H [deg] -45° -90° LHP ZERO RHP ZERO ZERO AT ORIGIN (DERIVATIVE)
BODE PLOT: LET s = j ω MAGNITUDE PHASE 1 1 + s " PL TERM IN H(s) S-PLANE σ j ω " 1 # PL ω |H| [dB] ω H [deg] +90° +45° -20dB/dec 1 1 + j "# PL = 1 1 2 + "# PL ( ) 2 1 " PL 1 s " PO σ j ω ω 1 0 + j "# PO ( ) = \$ tan \$ 1 "# PO 0 ( ) = \$ 90 o 1 1 "

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