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84e 841 842 843 844 845 846 847 848 949 858 851 852 853' eS4 855 956 857 858 859 868 861 862 863 864 865 866 867 868 869 878 811 872 973 874 875 876 877 878 879 88e 881 882 883 8B4 eEls 8B6 887 888 889 898 891 992 893 .LBU ST04 P]? R/S .S88 RCL2 GSSll RCU + RCL6 GSBB + RCL5 ST04 kTH rrQL 20Log(') K .LBL8 LO' Rei7 20 x RTN ti8L7 RCl4 RCL5 + RTH tLBL8 RCLl S101 1 OSP8 S106 + S108 .lBll ReLe RCLI R/S STx/S OSZI .TOl RCL~ DSP2 Rm tLBLD SF" ST,03 'SBS ST02 ReD F3? R/S Input/Calc dB dB into R4 If data was entered then stop Inverter dB F 20Log(' ) N dB End calc dB Start Calc 20Log(0) End 20Log Sum dB+K dB K End sum Input All QL's N Store index 1 into R6 N+l into RO Loop re-entry point N+l Index Stop for QLi input Form nQL in K6 Decrement/test index Loop if not done nQL End QL input InputI Cah: f / fa See step 152 fIfO into R3 F Sta in R2 fifO If data was entered then stop 894 895 89£ 897 898 899 Ute ,., Hi2 183 104 J8S 186 Ie? 186 185 118 111 112 I1J 114 115 116 JJ7 118 119 128 121 1.22 1"< 124 125 126 127 128 129 138 131 132 133 134 13S 13E J3'7 '38 139 148 '41 H2 HZ 144 145 146 *LBl3 Entry from LBL d GSB7 dB+K RCL? 20Log(') RCl6 laG RCL4 RCL2 STD4 x RCU X:i-' STD] nQL STD2 Call this M: see note P:S Start secant search rEX eMS 4 STD3 E-4 into 53 1 2 5T01 1.2 into 81 'S82 Calc error function (note 1) 5T04 Error into 54 RCl1 RCLJ + 1.2001 GSBi Calc error function ST02 RCL4 Compare RCL3 E-4 RCU GT04 .LBl6 RCLl tSB2 5T02 *lBL4 RCU RCLI Srol RHD x#M H06 Skip on first time Re-enter search loop Trial fifO Calc error Entry from step 123 This is a secant search similar to HP-67 Standard Pac p.11-3 & p. L11-03. Loop if not converged 409
147 148 149 158 151 152 153 154 155 156 IS? 158 159 16e 161 162 163 164 165 166 167 168 169 178 171 172 173 J 74 "5 1;'6 1;'7 178 179 18e 181 J82 18J J84 185 J86 187 188 189 19B J91 192 RCLl Final f/ fO P:S 5T03 fifO &585 F STO;; F2' RCL,; RTN _LeU p;s STOI Save last fIfO If via L8L D then recall fIfO End fIfO calc Calc Error Function GSB5 F LOf. PCL1 N x NLogF ReL: Trial fifO LO& GSB9 See step 178 + Estimated inverter dB FgCLZ M P:S Switch to S registers RTI{ End error calc .LBtS Calc F [NT-! 1/X F"f/fO-fO/f InN End F calc .lBtS Calc Inve~ter dE RCLJ fifO GSS8 20Log(') .LBLS Local L8L, not as at 021 RClS NMI peLS' NCI If data was entered then stop To geo. mean QL calc See !{ote 1 (NMI-NCI)20Log(f/fO) RTN " End inverter dB .L8Lc 5roB Input/Calc Geo. Mean QL ReLl N y" STD6 rrQL RCLe F'3'? R/S GT09 if data was entered 193 194 195 196 197 198 199 288 2e1 '282 2e3 2e4 285 286 267 288 2&9 210 2Jl 212 213' 214 215 216 217 218 219 228 221 2£2 223 224 Note 1: .LBLrJ Input/Calc F 8TD2 F into R2 "2 4 • IX RCL2 • 2 Calc fIfO as in (6.87) where w=F. STO] Sto f/fO in R3 RCl2 F F3? If data was entered R/S then stop GID] Iteratively calc fIfO (. F .LBi...o. Singly-Terminated Selection 8 K=O dB ST05 into R5 1?1N End .LBll:> Doubly-Terminated Selection 6 K=6 dB ST05 into R5 RTH End *lBLe Input. Inverters Totals 2 8 ST07 Multiplier 20 into R7 RJ· flush 20 Sr09 NCI .,. ST08NMI RTN End Register Assignment: RO: Scratch R6: rrQL R1: N R7: 20 R2: F scratch • R8: NMr R3: fIfO R9: Ncr R4: dB RI: Indices, scratch RS, K Error function for secant search for fIfO is Error = NLogF + (NMI-NCI)Log(f/fO) -(dB+K)/20 + LogTIQL 410
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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
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 402 and 403: Program AS-I. Swain's Snrface See E
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 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
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
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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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