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--------------- Example a: 3,325,200 2,400,100 50 MHz; nH, pF. V, ~ 17.3205+j5.7735 ~ 18.2574 (18.4349 0 1 2 ~ -3.2922E-3+j I.7714~ 1.7714 (9O.1IJ65° VJ~ -205.2845+j7.5860 ~205.4246 /177.8837 0 Example b: -2,400,100 3,325,200 . t. 43 400 21 --~rJ ~0 320569396 - 11 0 8435363 50 MHz; nH, pF V,-44.7216-j67.0820 ~80.6227 (-56.3098 0 1,-2.2361 +jO -2:.!361 ~ V, ~47.5313+ j213.9106~ 219.1277 (77.4723 0 [,- -19.5803+j4.9622~20.l993 (165.7790 0 Examplec: -3,325,0 2,400,100 _' 4 3325 21 FI-...'--c--~;'"] 50 MHz; nH, pF V,-50+jO -50 LQ: 12= 1+jO = 1 I..JE (because Pl =R L ) V,-50-j9.7942 -50,9502 (-11.0830 0 I, ~ 0.9260-j0.3986 -1.0081 (- 23.2896 0 Figure 4.3. Three ladder network examples with answers. 75
76 Lodder Network A1UJlysis " " 5 on 3 , •• + ; ::: _..Jf ~ l\ Z,- =r- ~ I 2 3 4 5 6 7 8 9 10 II Figure 4.4. TYPE.d - 22.02 23.001 12.02 22.02 23.001 -1.0 23.001 22.02 13.001 22.02 23.001 VALUE 5.E-3 1.75E-6 4.5E-3 5.E-3 1.75E-6 O. 11.5E-6 2.05E-3 6.25E-6 2.05£-3 I I.5E-6 Branch topological extensions to two levels. Study of the component-type array (integer part of middle column) in Figure 4.4 shows that level 2 is described by adding 20 to the element-type code; i.e., an even-numbered branch having a paralleled subbranch consisting of Land C in series would he designated by 22 and 23. Similarly, an even-numbered branch consisting of just Land C in parallel would be described by adding only to to the level-I designation (i.e., 12 and 13), Consider Figure 4.4 in detaiL The first component, - 22, is an inductor (type 2), and the minus sign indicates that the prior branch, namely, branch I, is null. The second component, 23, is a capacitor; it is in series because branch 2 is an even (impedance) branch and level 2 is specified, The program should sum the Land C impedances. The third component, 12, indicates a change of leveL The program code should recognize this, invert the impedance sum, and start an admittance sum, Then the 12 is processed as a capacitive admittance, which is added to the admittance sum. The next 22 and 23 begin a new impedance sum, which is terminated by the change of level indicated by - I.
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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
Page 40 and 41: Rational Polynomial LSE Approximati
Page 42 and 43: ---~~--_._--- ------ ID(w)£(w)1 2
Page 44 and 45: Rational Polynomial LSE Approximati
Page 46 and 47: Problems 31 2.6. If a,Z+a2 w = -a'-
Page 48 and 49: sense by the sum of first-kind Cheb
Page 50 and 51: Complex Zeros of Complex Polynomial
Page 52 and 53: Complex Zeros ofComplex Polynomials
Page 54 and 55: which are equal to the polynomial C
Page 56 and 57: Complex Zeros of Complex Polynomial
Page 58 and 59: Table 3.3. Complex Zeros of Complex
Page 60 and 61: Polynomials From Complex Zeros and
Page 62 and 63: Polynomials From Complex Zeros and
Page 64 and 65: Polynomial Addition and Subtraction
Page 66 and 67: Continued Fraction Expansion 51 Not
Page 68 and 69: Case 1 (row ~t (al N" 3 -1 '" 25 +
Page 70 and 71: ---- ------------------------- Cont
Page 72 and 73: ----~------- Input ImpedafJce $ytrt
Page 74 and 75: Input Impedance Synthesis From Its
Page 76 and 77: ------- - ------------- ---- Input
Page 78 and 79: Long Division and Partial Fraction
Page 80 and 81: Problems 6S magnitude. The program
Page 82 and 83: - Problems 67 3.12. Given the resis
Page 84 and 85: .Chapter Four Ladder Network Analys
Page 86 and 87: - -- - -------- Recun;"" ludder Met
Page 88 and 89: Recursive Ladder Method 73 This alw
Page 92 and 93: Recursive Ladder Method 77 This las
Page 94 and 95: - - - -------------- Embedded T>vo-
Page 96 and 97: - - - - - --- - - - ---- Unifonn Tr
Page 98 and 99: --- - .._----- Unifonn T/'Qnsmissio
Page 100 and 101: --------------- Uniform Transmissio
Page 102 and 103: ------- --- -----------_. - ------
Page 104 and 105: Table 4.4. 6.d L1 6.dc, 6.d L2 6.d
Page 106 and 107: ------- - _. - - Input and Transfer
Page 108 and 109: Input and Transfer Network Response
Page 110 and 111: Input and Transfer Network Response
Page 112 and 113: ----------------------------- Time
Page 114 and 115: ----- - - h(-rJ h(2.6.Tl o I II ---
Page 116 and 117: -------- Sensitivities 101 the corr
Page 118 and 119: formula: Sensitivities 103 dZ""A,Z
Page 120 and 121: Sensitivities 105 obeying at least
Page 122 and 123: and its derivative with respect to
Page 124 and 125: Problems 109 branch immittance; the
Page 126 and 127: Problems 111 Solve by using (4.40)
Page 128 and 129: Chapter Five Gradient Optimization
Page 130 and 131: Gradient Optimization 115 Figure 5.
Page 132 and 133: -- ------------------ Quadratic Fon
Page 134 and 135: Quadratic Fonns and Ellipsoids 119
Page 136 and 137: Quadratic Forms and EUipsoids 121 F
Page 138 and 139: 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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Page 278 and 279:
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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
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- - -------------------------------
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Program B2-4B. Polynomial Minimax A
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Program B2-5. Levy's Matrix Coeffic
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----------- _. - - - Flowchart for
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Program B3-2. Polynomials From Comp
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--------- - - Program 83-4. Polynom
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Program 83-7. Partial Fraction Expa
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Flowchart for Ladder Analysis Progr
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Program B5-1. The Fletcher-Reeves O
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Program B5-2. L-Seetion Optimizatio
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Flowchart for Matching Program B6-1
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Program B6-3. Levy Matching to Resi
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---------- -- Program 86-5. Hilbert
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--~-- - ---------- Program B9-1. El
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---------- - -_.-------------------
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3260 TO~(TO+W)/(l-TO'N) 3270 B(l,=B
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Appendix D Linear Search Flowchart*
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Appendix E Defined Complex Constan
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Appendix F _ Doubly Terminated Mini
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Appendix G _ Direct-Coupled Filter
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461 (G.22) (G.23) (G.24) A,= (G.25)
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G.4.2. Resonator Asymptote Slopes D
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Appendix G 465 except for overcoupl
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----------_._-_.- ---- - - -_.. - A
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Appendix H _ Zverev's Tables ofEqui
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------ 6(0) 6(b) L _ (L,C,- L,C,)'
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L, L, c. " 12(a) C\=W C 2 =X L\=Y L
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Appendix H 475 Simplified Notations
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References 477 Box, M. J., D. Davie
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--------- Johnson, L. W" References
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References 481 Van Valkenburg, M. E
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_ 484 Author Index Noble, B.. 120.
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486 Subject Index second kind, 32.
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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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