figs05

figs05 - FIGURES FOR CHAPTER 5 , dB , dB 0 , dB 1 Low-pass...

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F IGURES FOR C HAPTER 5 Figure 5-1 Four basic filter types. 0 α→∞ α , dB Bandstop filter 1 2 0 α→ ∞ α , dB Bandpass filter 1 2 01 α→ ∞ α , dB High-pass filter α→ ∞ α , dB Low-pass filter
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Figure 5-2 Actual attenuation profile for three types of low-pass filters. 01 α , dB Chebyshev filter α , dB Binominal filter α , dB Elliptic filter
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Figure 5-3 Generic attenuation profile for a bandpass filter. 01 α , dB 60 dB 3 dB ff L C 60 dB / UC / 3 dB / LC / Passband ripple Rejection BW 60 dB BW 3 dB insertion loss
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Figure 5-4 Filter as a two-port network connected to an RF source and load. Z L V G G Z Filter
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Figure 5-5 Low-pass filter connected between source and load resistance. Z L V G Z G R C V 1 V 2 V G V G V 2 Filter (a) Low-pass filter with load resistance. (b) Network with input/output voltages
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Figure 5-6 Cascading four ABCD -networks. Z L Z G R C V G V 2 12 3 4
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(a) Attenuation profile of the low-pass filter for various load resistances (b) Phase response of the low-pass filter for various load resistances Figure 5-7 First-order low-pass filter response as a function of various load resistances. 35 30 25 20 15 10 5 0 10 6 10 7 10 8 10 9 10 10 Frequency, Hz Attenuation, dB R = 5 L R = 20 L R = 50 L R = 100 L R = 250 L R = 1k L 10 6 10 7 10 8 10 9 10 10 Frequency, Hz R = 5 L R = 100 L R = 250 L R = 1 k L 0 -10 -20 -30 -40 -50 -60 -70 -80 -90 Phase, deg. R = 20 L R = 50 L L L L L L
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(a) High-pass filter with load resistance (b) Network and input/output voltages Figure 5-8 First-order high-pass filter. Z L Z G R V G V 2 L Z L V G Z G R L
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(a) Attenuation profile of the filter for various load resistances (b) Phase response of the filter for various load resistances Figure 5-9 Low-pass filter response as a function of various load resistances. 10 6 10 7 10 8 10 9 10 10 Frequency, Hz Attenuation, dB R = 5 L R = 20 L R = 50 L R = 100 L R = 250 L R = 1 k L 40 35 30 25 20 15 10 5 0 10 6 10 7 10 8 10 9 10 10 Frequency, Hz Phase, deg. R = 5 L = 20 R = 100 L R = 250 L R = 1k L 90 80 70 60 50 40 30 20 10 0 R = 50 L L R
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Figure 5-10 Bandpass filter implemented in series configuration. C R L Z L V G Z G
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Figure 5-11 Bandpass filter response. 10 7 10 8 10 9 10 10 10 11 45 40 35 30 25 20 15 10 5 Attenuation, dB Frequenc y , Hz 100 80 60 40 20 0 –20 –40 –60 –80 –100 Phase, deg.
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(a) Magnitude of transfer function (b) Phase of transfer function Figure 5-12 Bandstop filter response. 10 7 10 8 10 9 10 10 10 11 Frequency, Hz 6 7 8 9 10 11 12 13 14 15 16 Attenuation, dB Z L V G Z G C R L Z G = = 50 Z L R = 200 C = 2 pF L = 5 nH 10 7 10 8 10 9 10 10 10 11 Frequency, Hz 30 20 10 0 -10 -20 -30 Phase, deg.
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Table 5-1 Series and parallel resonators Parameter Impedance or Admittance Resonance Frequency Dissipation Factor Quality Factor Bandwidth C R L C R L ZR j ϖ L 1 j ϖ C ---------- ++ = YG j ϖ C 1 j ϖ L = ϖ 0 1 LC ----------- = ϖ 0 1 = d R ϖ 0 L --------- R ϖ 0 C == d G ϖ 0 C G ϖ 0 L Q ϖ 0 L R 1 R ϖ 0 C -------------- Q ϖ 0 C G 1 G ϖ 0 L BW f 0 Q ----- 1 2 π ------ R L --- f 0 Q 1 2 π G C
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Figure 5-13 Circuit used for the definitions of loaded and unloaded quality factors.
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figs05 - FIGURES FOR CHAPTER 5 , dB , dB 0 , dB 1 Low-pass...

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