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Program AS-I. Swain's Snrface See Equations (5.1)-(5.5). Label: Key: Examples: See Table 5.2. F C \7,F E "J .L8LH Process Xl BeZ STOl Xl into Rl 95J , 952 X 983 X' 953 SroB Temp STO B94 STa,? Sqrd into R2 B54 'S82 Calc Q2 995 l5TX 855 3 886 .rN End process Xl 856 x 99? nBLe Process X2 95? CN5 898 5T03 X2 into R3 958 ReLe RCL Temp B99 X~- B5. , 818 5T04 Sqrd into R4 96B OTN End 92F Calc Bll LST,!>; 961- .lBll Start P2 Calc 812 OTN End process X2 862 RCl2 913 .LBlC Start Q calc 863 9 914 ~SBl Calc P2 964 x 915 X'i: .65 2 816 ST08 Temp STO 966 5 817 ,582 Calc Q2 867' RCL4 918 :a.'
Program AS-2. Central Quadratic Function See Equations (5.8), (5.15), and (5.16). Label: Key: X,--> A X,--> B F C 'V,F D 'V,F E Example: X, = 10, X,= 10, F = 292, 'V IF ~ 100, 'V,F= 28. BB! flBLC Start F Calc 845 'LBLE Start V2F Calc 882 RCL2 (5 . 8) 846 Rel3 (5.16) 883 RGl4 847 2 , 88' 848 6 885 849 x 8B6 3 858 RCLl 887' x 951 I t10S RCL1 852 8 899 RCU 95.3 x 818 x 854 811 1 855 I 812 8 856 3 813 x 857 2 814 858 815 RCLJ 859 RrN End V2F Calc 816 1 668 fLBlA' Process Xl fll? 3 861 STOl Xl into Rl 918 2 862 x' 819 x 863' 5T02 Sqrd in t 0 R2 82(' 86' lsr>: 821 RCLJ 86S RrN End Process Xl fP-;' 6 866 .LBtB Process X2 823 8 867 5T03 X, into R3 .' Sqrd into R4 824 825 968 869 X' 5T04 82i 6 878 Lsr;..' 827 1 871 RTN 82S' 2' 8';'Q , End Process X2 938 RrN End F Calc 831 fLBLD Start VlF Calc 832 RCL1 (5.15) 8JJ 2 834 6 835 , B:J6 RCLJ 037 1 83'S 9 839 , 948 841 6 842 8 843 944 RrN End VIF Calc 388
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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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Page 354 and 355: • e/2 e/2 Figure 9.3. A typical e
Page 356 and 357: Another trigonometric identity can
Page 358 and 359: o---iS~-----, I '--------;::==-----
Page 360 and 361: Introduction to Cauer Elliptic Filt
Page 362 and 363: Introduction to Cauer Elliptic Filt
Page 364 and 365: 40 20 140 12 11 130 10 120 110 9 10
Page 366 and 367: 00 Introduction to Cauer Elliptic F
Page 368 and 369: Doubly Termi/lllted Elliptic Filter
Page 370 and 371: Doubly TermillQted Elliptic Filters
Page 372 and 373: Doubly Terminated Elliptic Filters
Page 374 and 375: Doubly Terminated Elliptic FilteN 3
Page 376 and 377: Doubly TerrnilUlted Elliptic Filten
Page 378 and 379: Some Lumped.Element Transformations
Page 380 and 381: -lin '" 1 +jOn : c, 3L, L, I ) r So
Page 382 and 383: 1 1CT (T Some Lumped.Element Tronsj
Page 384 and 385: Load Effects on Passive Networks 36
Page 392 and 393: Invulnerable Filters 377 9.6. Invul
Page 394 and 395: Invulnerable Filters 379 20 t lmin
Page 396 and 397: Invulnerable Filters 381 40 t L mil
Page 398 and 399: Problems. 383' corresponding number
Page 400 and 401: Problems 385 9.11. A passive networ
Page 404 and 405: ------- -------- - _. _. - Program
Page 406 and 407: ----- _. - ------------- - Program
Page 408 and 409: - - - _._------------------ &61 TAN
Page 410 and 411: Program A6-4. Norton Transformation
Page 412 and 413: 861 862 863 86' 865 866 B6? 868 869
Page 414 and 415: Program A7·2. Three-Port to Two·P
Page 416 and 417: 15B .LBU Cue & 5to 3x3 Elements J5J
Page 418 and 419: e61 STOB 32 degrees 115 RCL9 a3 deg
Page 420 and 421: Program A7-4. Maximally Efficient G
Page 422 and 423: 169 CHS Register Assignments: 17e e
Page 424 and 425: 84e 841 842 843 844 845 846 847 848
Page 426 and 427: Program A8-2. Doubly Termiuated Min
Page 428 and 429: ----- - - - _. - _.--------- - -- _
Page 430 and 431: -------_._--- ------- Program A9-1.
Page 432 and 433: Appendix B PET BASIC Programs Progr
Page 434 and 435: 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
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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
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490 Subject Index equivalent: bandp
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1 1 _ 492 Subject Index I I Reflect
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494 Subject Index length. electrica
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