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Passive, Active,and DigitalFilters
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The Circuits and Filters HandbookTh
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ContentsPreface ...................
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PrefaceAs circuit complexity contin
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ContributorsPhillip E. AllenSchool
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IPassive FiltersWai-Kai ChenUnivers
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1General Characteristicsof FiltersA
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General Characteristics of Filters
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General Characteristics of Filters
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General Characteristics of Filters
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General Characteristics of Filters
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1-12 Passive, Active, and Digital F
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1-14 Passive, Active, and Digital F
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General Characteristics of Filters
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General Characteristics of Filters
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General Characteristics of Filters
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General Characteristics of Filters
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General Characteristics of Filters
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General Characteristics of Filters
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2-2 Passive, Active, and Digital Fi
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2-4 Passive, Active, and Digital Fi
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2-6 Passive, Active, and Digital Fi
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Approximation 2-9K(ω)Large nSmall
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Approximation 2-132π21φ = cos -1
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Approximation 2-15This result is us
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Approximation 2-19Butterworth; put
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Approximation 2-21This however impl
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Approximation 2-23TABLE 2.3 Bessel
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Approximation 2-25R mn (ω)b + εbb
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Approximation 2-27is a measure of t
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Approximation 2-29Recall, now, the
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Approximation 2-31TABLE 2.4 Zeros o
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Approximation 2-33References1. A. M
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3-2 Passive, Active, and Digital Fi
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3-4 Passive, Active, and Digital Fi
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3-6 Passive, Active, and Digital Fi
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3-8 Passive, Active, and Digital Fi
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3-10 Passive, Active, and Digital F
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3-12 Passive, Active, and Digital F
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4Sensitivityand SelectivityIgor M.
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Sensitivity and Selectivity 4-34.3
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Sensitivity and Selectivity 4-5Beca
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Sensitivity and Selectivity 4-7Simi
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Sensitivity and Selectivity 4-9comp
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Sensitivity and Selectivity 4-11In
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Sensitivity and Selectivity 4-13and
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Sensitivity and Selectivity 4-154.8
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Sensitivity and Selectivity 4-17cha
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Sensitivity and Selectivity 4-19Tak
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Sensitivity and Selectivity 4-21I p
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Sensitivity and Selectivity 4-23Att
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Sensitivity and Selectivity 4-25 In
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Sensitivity and Selectivity 4-27the
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Sensitivity and Selectivity 4-29is
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Sensitivity and Selectivity 4-311.
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5Passive Immittancesand Positive-Re
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Passive Immittances and Positive-Re
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Passive Immittances and Positive-Re
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Passive Immittances and Positive-Re
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6Passive CascadeSynthesisWai-Kai Ch
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Passive Cascade Synthesis 6-3not gr
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Passive Cascade Synthesis 6-5degree
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13Multiple-AmplifierBiquadsNorbert
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Multiple-Amplifier Biquads 13-3By a
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Multiple-Amplifier Biquads 13-5+R 1
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Multiple-Amplifier Biquads 13-7This
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Multiple-Amplifier Biquads 13-9Fina
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Multiple-Amplifier Biquads 13-11Her
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Multiple-Amplifier Biquads 13-13C 6
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Multiple-Amplifier Biquads 13-15C 6
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Multiple-Amplifier Biquads 13-17Wit
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Multiple-Amplifier Biquads 13-19wit
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Multiple-Amplifier Biquads 13-21Thu
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Multiple-Amplifier Biquads 13-23V i
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Multiple-Amplifier Biquads 13-25R 4
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Multiple-Amplifier Biquads 13-27Ref
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14-2 Passive, Active, and Digital F
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III-2Passive, Active, and Digital F
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18-60 Passive, Active, and Digital
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19IIR FiltersSawasd TantaratanaTham
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IIR Filters 19-3Noncausal filters a
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IIR Filters 19-5We see from Equatio
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IIR Filters 19-7x(n)(a)x(n)K2z -1b
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IIR Filters 19-9Imaginaryp1/p*Recip
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IIR Filters 19-11H( f ) 2 |H( f )|
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IIR Filters 19-13TABLE 19.1N1 (s þ
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IIR Filters 19-15110.90.90.80.8Magn
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IIR Filters 19-17110.90.90.80.80.70
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IIR Filters 19-1910.90.80.7Magnitud
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IIR Filters 19-21TABLE 19.4 Various
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IIR Filters 19-23transformation is
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IIR Filters 19-25Using Equations 19
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IIR Filters 19-2719.2.3.3 High-Pass
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IIR Filters 19-290−10200150Magnit
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IIR Filters 19-31that we use the el
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IIR Filters 19-33DigitalAnalogDigit
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IIR Filters 19-35f΄0.5f ś1f ṕ10
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IIR Filters 19-37To avoid the compl
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IIR Filters 19-3919.2.5.1.3 Eigenfi
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IIR Filters 19-413. Third approach
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IIR Filters 19-43(a)k n-k nk nk n(b
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IIR Filters 19-45J n 1 (z) ¼ J n (
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20-2 Passive, Active, and Digital F
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20-4 Passive, Active, and Digital F
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20-6 Passive, Active, and Digital F
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20-18 Passive, Active, and Digital
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21VLSI Implementationof Digital Fil
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VLSI Implementation of Digital Filt
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VLSI Implementation of Digital Filt
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VLSI Implementation of Digital Filt
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VLSI Implementation of Digital Filt
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VLSI Implementation of Digital Filt
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VLSI Implementation of Digital Filt
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VLSI Implementation of Digital Filt
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22Two-DimensionalFIR FiltersRashid
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Two-Dimensional FIR Filters 22-322.
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Two-Dimensional FIR Filters 22-5501
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Two-Dimensional FIR Filters 22-7sup
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Two-Dimensional FIR Filters 22-910.
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Two-Dimensional FIR Filters 22-11If
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Two-Dimensional FIR Filters 22-1322
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Two-Dimensional FIR Filters 22-151.
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Two-Dimensional FIR Filters 22-1710
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Two-Dimensional FIR Filters 22-19th
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Two-Dimensional FIR Filters 22-21It
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Two-Dimensional FIR Filters 22-23-
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Two-Dimensional FIR Filters 22-2522
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Two-Dimensional FIR Filters 22-27Re
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Two-Dimensional FIR Filters 22-2944
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23-2 Passive, Active, and Digital F
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25Directional Filter BanksJose Gera
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Directional Filter Banks 25-3THEORE
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Directional Filter Banks 25-5n 1443
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Directional Filter Banks 25-7which
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Directional Filter Banks 25-925.4 B
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Directional Filter Banks 25-11D 1Y
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Directional Filter Banks 25-13ω 1
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Directional Filter Banks 25-15fan f
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Directional Filter Banks 25-17Test
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Directional Filter Banks 25-19z 0-1
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Directional Filter Banks 25-21absen
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Directional Filter Banks 25-23FIGUR
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Directional Filter Banks 25-25Textu
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Directional Filter Banks 25-27suppr
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Directional Filter Banks 25-29(a)FI
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Directional Filter Banks 25-319. E.
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Directional Filter Banks 25-3356. S
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26-2 Passive, Active, and Digital F
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28Video DemosaickingFiltersBahadir
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Video Demosaicking Filters 28-310.9
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Video Demosaicking Filters 28-5(a)0
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Video Demosaicking Filters 28-7RGd
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Video Demosaicking Filters 28-9-12-
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Video Demosaicking Filters 28-111.
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Video Demosaicking Filters 28-13und
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Video Demosaicking Filters 28-15FIG
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Video Demosaicking Filters 28-17III
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Video Demosaicking Filters 28-19Cam
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Video Demosaicking Filters 28-213.
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IndexAActive filterscascaded realiz
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IndexIN-3final reactive element, 10
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IndexIN-5Bamberger pyramid, 25-27Ga
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IndexIN-7multiplier, minimization,1
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IndexIN-9sixth-order transfer funct
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IndexIN-11reflection coefficient,19
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IndexIN-13bandpass building block,1
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IndexIN-15Power line communications
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IndexIN-173-OA CGIC biquad,14-16-14
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IndexIN-19zero-producing step, 8-4-