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------ 6(0) 6(b) L _ (L,C,- L,C,)' 3- (L, + L,)(C, +C,)' LILl L 4 =-- L]+Lz C j C 1 (C j +C 2 )(L j + L 2 )2 C 3 - -'-'-'-'--=-'--:-"- (L,C,- L,C,)' B = L 3 C 3 + L 4 C 4 + L 3 C 4 C 4 =C, +C 1 E=L J C J C 4 D==C 4 7(0) L\=W L 2 =X c\=y c 2 =z A=L 3 L 4 C 3 C 4 B = L 3 C) + L 4 C 4 + L 4 C 3 E-C,C,(L, + L.) D=C 4 L, 7(b) LrL2(L1Cr + L 1 CD (L1C I - L 2 C Z )2 L.-(L,Cj+ L,cD/(C, +C,)' C4=Cl+~ C J =- C-.'-,C::'OC(C 2 , +~Ce:,)-,-(L::,c:C:C'-,-c=L::,-=C,,--,)' (L1cf+ LzeD 2 411
C. L, -eEB- L. ~ 2: c, u -" -E 9(a) 9(b) 1J L. e L) = L2 ( I + ~~ ) L 1 =L 4 -- -"Y • L J +L 4 N L)L 4 L 4 =L J +Lz L 2 =-- L)+L 4 C3~C,(_L_,_)' C2 =C 4 L 1 +L 2 C 4 =C 2 (L 3 +L.r C[=CJ ~ 2: C. L, ---E2B- L. L, ~ -~ 100a) 100b) .~ J< L4 =L 1 L, ~ L 3 [C 3 /(C 3 +C.)1' u e L3- L,[(C, +C,)/c,J' L 2 ""L 4 -" • c, ~ c]= C, ~ C.( I + C./C 3 ) I+C,/C, c 4 = C, I+C,/C, C 2 =C 3 +C 4 c, L, II(a) c, (L3+ L.)(L3L1ClJ L] L 4 [CJ(L] + L4)2 + L~C4 J2 - ~: ,r ~~ " II(b) L, L, I +(L,/L,)(C, +C,/C,)' [LI(C I +(2)1+ L2C~r qC~(CI+C 2 ) 472
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Wile,.· Interactenee ..A. .. 1 18
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Circuit Design U sing Personal Comp
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To my late parents, Tommy and Brown
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viii Preface computer. Excessive th
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Contents l. Introduction 1 2. Some
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Contetlts xiii 4.3.4. Transmission
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~----- ---- Contents xv 6.6. Pseudo
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-------------------------- Contents
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-- ------- 2 Introduction viewpoint
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4 Introduction Chapters Four and Fi
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6 Introduction the selectivity effe
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8 Some Fundamenurl Numerical Method
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10 Some Fundamental Numerical Metho
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--------------------- Romberg Integ
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and it is convenient to rearrange (
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Romberg Integranon 17 Truncation Er
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---~-- - - -- ----- - -------------
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Polynomial Minimox Approximation of
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Polynomial Minimax Approximation of
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Rational Polynomial LSE Approximati
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---~~--_._--- ------ ID(w)£(w)1 2
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Rational Polynomial LSE Approximati
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Problems 31 2.6. If a,Z+a2 w = -a'-
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sense by the sum of first-kind Cheb
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Complex Zeros of Complex Polynomial
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Complex Zeros ofComplex Polynomials
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which are equal to the polynomial C
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Complex Zeros of Complex Polynomial
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Table 3.3. Complex Zeros of Complex
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Polynomials From Complex Zeros and
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Polynomials From Complex Zeros and
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Polynomial Addition and Subtraction
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Continued Fraction Expansion 51 Not
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Case 1 (row ~t (al N" 3 -1 '" 25 +
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---- ------------------------- Cont
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----~------- Input ImpedafJce $ytrt
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Input Impedance Synthesis From Its
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------- - ------------- ---- Input
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Long Division and Partial Fraction
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Problems 6S magnitude. The program
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- Problems 67 3.12. Given the resis
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.Chapter Four Ladder Network Analys
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- -- - -------- Recun;"" ludder Met
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Recursive Ladder Method 73 This alw
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--------------- Example a: 3,325,20
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Recursive Ladder Method 77 This las
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- - - -------------- Embedded T>vo-
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- - - - - --- - - - ---- Unifonn Tr
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--- - .._----- Unifonn T/'Qnsmissio
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--------------- Uniform Transmissio
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------- --- -----------_. - ------
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Table 4.4. 6.d L1 6.dc, 6.d L2 6.d
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------- - _. - - Input and Transfer
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Input and Transfer Network Response
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Input and Transfer Network Response
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----------------------------- Time
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----- - - h(-rJ h(2.6.Tl o I II ---
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-------- Sensitivities 101 the corr
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formula: Sensitivities 103 dZ""A,Z
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Sensitivities 105 obeying at least
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and its derivative with respect to
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Problems 109 branch immittance; the
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Problems 111 Solve by using (4.40)
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Chapter Five Gradient Optimization
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Gradient Optimization 115 Figure 5.
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-- ------------------ Quadratic Fon
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Quadratic Fonns and Ellipsoids 119
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Quadratic Forms and EUipsoids 121 F
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Quadratic Fonm and Ellipsoids 123 x
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Quadratic Forms and Ellipsoids 115
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Conjugate Gradient Search 127 choic
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-_.. ---------- Conjugate Gradient
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Conjugate Gradient Search 131 x, Fi
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-- -~--- Conjugate Gradient Search
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Conjugate Gradient Search 135 Hxl =
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Linear Search 137 the variable metr
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Then, the minimum function value in
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- ------- Linear Search 141 subtrac
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The F/etcher- Reeves Optimizer 143
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The netcher- Reeves Optimizer 145 c
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Table 5.4. Typical Output for the R
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The Fletcher- Reeves Optimizer 149
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Network Objective Functions 151 and
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-------- - - Network Objecti"" Func
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Network Objective Functions 155 Tab
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-- ------------ Constraints 157 tra
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- - - - - -------------- Constraint
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Table 5.7. Objective Subroutine lor
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-70. Constrainis 163 315-325). For
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Constraints 165 In fact, one applic
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--------~ - - ---------------------
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(b) Problems 169 Find the diagonal
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Impedance Matching 171 I, z, ---+__
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Narrow·Band L, T, and Pi Networks
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- - - --------------- + '" R, . " N
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NalTO...Band L, T, and Pi Networks
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Narrow-Bond L, T, and Pi Networks ]
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Narrow-BaruJ L, T, aruJ Pi Networks
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Loss/ess Unifonn Transmission Lines
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------- - -------------------------
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----------- and (6.34) can be writt
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Fano's Broodband-Matching Limitatio
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Fano's Broadband-Matching Limitatio
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----------------- Fano's Broadband-
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Fono's Broadband·Matching Limitati
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Green's recursive element formula i
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f 9, Figure 6.24. 92
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Bandpass Network Transformations 20
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Bandpass Network Trans/onnotions 20
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50 II 2.6548 16.594 Bandpass Networ
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BaruJpass Network TransJof1lUltions
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Pseudobandpass Matching Networks 21
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I InlPJ =In Pseudobandpass Matching
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Pseudobandpass Matching Networks 21
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----- -- Carlin's Broodband-Matchin
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---- -------------------- expressio
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Car/in's Broadband.Matching Method
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Carlin's Broadband-Matching Methad
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Prohle"" 227 Third, an objective fu
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Problems 229 6.16. Program Equation
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Bilinear Tronsfonnatl'ons 231 I, ~-
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Bi/inear Transjormations 233 (w" w"
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Bilinear Transfonnations 235 accomp
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Bilinear Transfonnations 237 circle
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Impedance Mapping 239 1 3 al~ ~a3 [
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Impedance Mapping 241 r-- Z, s" I,
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---------- Impedan£e Mapping 243 T
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Impedance Mapping 245 in Figure 7.7
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Two-Port Impedance and Power Models
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---------------- This may be put in
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----~-------~--- - - --------------
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-------- -- - -------------- and th
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Two-Port Impedance and Power Models
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Billlteral Scattering Stability and
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Bilateral Scattering Stability and
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--- -------- Bilateral Scattering S
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Unilateral Scattering Gain 267 the
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Unilateral Scattering Gain 269 The
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Prohle"" 271 _merit is u=0.08; by (
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Chapter Eight Direct-Coupled Filter
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- -- ~-------~- -------------- Dire
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Prototype Network 277 and Wo is the
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Prototype Network 279 element value
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Prototype Network 281 8./.4. Protot
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Designing with Lande Inverters 283
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Designing with L and C Inverters 28
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Designilrg with Lande Inverters Sup
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Designing with L and C Inverters 28
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General Inverters, Resonators, and
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Genera/Inverters, Resonators, and E
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conductance of the Kth resonator is
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Table 8.2. General Inverters, Reson
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General Inveners, Resonators, and E
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Four Importunt Pussband Shapes 305
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Four Important Passband Shapes 307
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FOIl' Important Possband Shopes 309
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Fou, Important Passband Shapes 317
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Four lmporlunt Pussband Shupes 319
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Comments on a Design Procedure 321
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-----~------------ A Complete Desig
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A Complete Design Example 329 DB3 =
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A Complete Design Example 331 R,,(l
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------- Problems 333 For Z=O+jX, fi
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------------- Chapter Nine Other Di
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, I II r L;.. I I . C, ~ ~ Wo ell :
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• e/2 e/2 Figure 9.3. A typical e
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Another trigonometric identity can
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o---iS~-----, I '--------;::==-----
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Introduction to Cauer Elliptic Filt
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Introduction to Cauer Elliptic Filt
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40 20 140 12 11 130 10 120 110 9 10
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00 Introduction to Cauer Elliptic F
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Doubly Termi/lllted Elliptic Filter
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Doubly TermillQted Elliptic Filters
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Doubly Terminated Elliptic Filters
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Doubly Terminated Elliptic FilteN 3
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Doubly TerrnilUlted Elliptic Filten
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Some Lumped.Element Transformations
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-lin '" 1 +jOn : c, 3L, L, I ) r So
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1 1CT (T Some Lumped.Element Tronsj
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Load Effects on Passive Networks 36
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Invulnerable Filters 377 9.6. Invul
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Invulnerable Filters 379 20 t lmin
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Invulnerable Filters 381 40 t L mil
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Problems. 383' corresponding number
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Problems 385 9.11. A passive networ
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Program AS-I. Swain's Snrface See E
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------- -------- - _. _. - Program
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----- _. - ------------- - Program
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- - - _._------------------ &61 TAN
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Program A6-4. Norton Transformation
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861 862 863 86' 865 866 B6? 868 869
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Program A7·2. Three-Port to Two·P
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15B .LBU Cue & 5to 3x3 Elements J5J
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e61 STOB 32 degrees 115 RCL9 a3 deg
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Program A7-4. Maximally Efficient G
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169 CHS Register Assignments: 17e e
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84e 841 842 843 844 845 846 847 848
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Program A8-2. Doubly Termiuated Min
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----- - - - _. - _.--------- - -- _
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-------_._--- ------- Program A9-1.
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Appendix B PET BASIC Programs Progr
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Program B2-2A. Gauss-Jordan Solutio
Page 436 and 437: - - -------------------------------
Page 438 and 439: Program B2-4B. Polynomial Minimax A
Page 440 and 441: Program B2-5. Levy's Matrix Coeffic
Page 442 and 443: ----------- _. - - - Flowchart for
Page 444 and 445: Program B3-2. Polynomials From Comp
Page 446 and 447: --------- - - Program 83-4. Polynom
Page 448 and 449: Program 83-7. Partial Fraction Expa
Page 450 and 451: Flowchart for Ladder Analysis Progr
Page 452 and 453: Program B5-1. The Fletcher-Reeves O
Page 454 and 455: Program B5-2. L-Seetion Optimizatio
Page 456 and 457: Flowchart for Matching Program B6-1
Page 458 and 459: Program B6-3. Levy Matching to Resi
Page 460 and 461: ---------- -- Program 86-5. Hilbert
Page 462 and 463: --~-- - ---------- Program B9-1. El
Page 464 and 465: ---------- - -_.-------------------
Page 466 and 467: 3260 TO~(TO+W)/(l-TO'N) 3270 B(l,=B
Page 468 and 469: Appendix D Linear Search Flowchart*
Page 470 and 471: Appendix E Defined Complex Constan
Page 472 and 473: Appendix F _ Doubly Terminated Mini
Page 474 and 475: Appendix G _ Direct-Coupled Filter
Page 476 and 477: 461 (G.22) (G.23) (G.24) A,= (G.25)
Page 478 and 479: G.4.2. Resonator Asymptote Slopes D
Page 480 and 481: Appendix G 465 except for overcoupl
Page 482 and 483: ----------_._-_.- ---- - - -_.. - A
Page 484 and 485: Appendix H _ Zverev's Tables ofEqui
Page 488 and 489: L, L, c. " 12(a) C\=W C 2 =X L\=Y L
Page 490 and 491: Appendix H 475 Simplified Notations
Page 492 and 493: References 477 Box, M. J., D. Davie
Page 494 and 495: --------- Johnson, L. W" References
Page 496 and 497: References 481 Van Valkenburg, M. E
Page 498 and 499: _ 484 Author Index Noble, B.. 120.
Page 500 and 501: 486 Subject Index second kind, 32.
Page 502 and 503: 488 Subject Index proper, 62 quadra
Page 504 and 505: 490 Subject Index equivalent: bandp
Page 506 and 507: 1 1 _ 492 Subject Index I I Reflect
Page 508 and 509: 494 Subject Index length. electrica
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