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Program A7·2. Three-Port to Two·Port Conversion See Equation (7.29) and Example 7.2. Keys: 5 3 --> a + b I/Z c • d ZP(f,o) RTNR/S S" D S33 E Note: Key e and RTN R/S are inverse functions. Input: Press CLRG, P:::;S, CLRG; then press fa. When II appears, key in 0?1' t, /S\\/, R/S; do the same for 21, etc. After all nine complex parameters are entered, save on a data card. Then input Z, in polar form: 0" t.IZ,I, and press key A. Output: Press key B; see 0\\ and ISl1l two-port parameters. Keys B, C, D, and E may be used in any order. 881 8 Start Zp(rsO) Calculation 831 P:S 882 EHTt 832 RCL5 1,221 883 I 93:; CHS Set up subtraction 1lS4 GSB. f+! 834 GSB. Cmplx addition 1lS5 SroD Sto magnitude 8'5 'SSe Invert 1lS6 X:)' 836 STD8 I(iff'-s22)-' 1 1lS7 STOE Sto degrees 837 P:S IlS8 X:Y 838 X:'J 1lS9 CHS Set up subtraction 83'9 STlHl (1/fZ-s22)-1 degrees 818 8 -P:S 811 EHTf 841 x:y 812 2 842 RTH End calc with Z2 813 G58. l-f 843 .l8l2 Start stnd sequence calc 814 GS8, Invert 844 STOI Store sequence 815 RClE 845 P:S '16 RCLD l+r 846 Rel8 See step 039 811 GSBd Cmplx multiplication 847 P:S 818 5 84B RCl8 See step 036 819 8 849 GS88 Rei digit 1 data 828 • Z scale 858 G58. Polar multiply 821 R/S End Zp(r) Calculation 851 GSBB ReI digit 2 data 822 'LOLA Start Calc with Z, 852 GS8. Polar multiply 823 GSSe Calc f2 from Z2 853 GSB8 Rei digit 3 data 824 EEX 8S4 GSBO Polar addition 825 CHS 855 x:r 926 9 1156 PRTX Print degrees 827 + Avoid divide by zero 857 X;Y 828 'SSc [If' 858 PRTK Print magnitude 829 P:S 859 RTN End standard calculation 838 RCL5 522 degrees 399
-.LBLB Decode next digit & reI 188 861 ReU 'lBle StartrSO(Zp) Calc ReI remaining sequence 862 J81 FRe 5 Take fractional part 863 182 1 8 864 18. 8 Zp!SO J84 865 x 8 Move decimal 1 right 185 866 EHT! HOI Sta digit and fraction 1157 185 1 R" Flush stack RX 868 P:5 J87 GSBb Cmplx addition 869 188 ReLi ReI GSSc degrees Cmplx invert 878 P:S 189 2 118 x 871 RCU Rcl magnitude Similar to method 872 111 RTH eHS End decode and reI in eqn (2.2): -2/(z+1) 873 112 .LBle 8 Start polar cmplx invert 874 113 EHTt 1/-;.' .75 114 X:Y 1 115 '58. l-2/ (z+l) 87' eHS 877 J1. X:Y RTH End feZ) calc .78 117 ,tBLOo RTH End invert Input 3x3 S Matrix 879 118 8 'LBL~ Start plor cmplx mult .88 J J9 STOl Initialize RI Xt'r' 881 12. 1 R" 882 x 12, J J22 GS8l s11 into Rl 88. R" 884 J23 2 • 885 J24 I Rt J2~ 88' RTH End mult '5Bl 521 into R2 887 ,LBH Start polar 126 3 cmplx add 88B 127 1 'R 128 GS81 'B9 Rt 531 into R3 898 129 1 Rt 138 2 891 .R 131 '58J 512 into 892 X:Y R4 132 2 893 R" 133 < 894 • 134 GS8l 522 into R5 895 R" 135 3 896 • 136 2 897 Rt 898 .p .99 RTH End add J37 GS8l 532 into R6 138 I 139 J48 GS81• 513 into R7 141 2 142 3 143 GS81 523 into R8 144 3 145 3 146 GS811'>33 into R9 J47 X;Y J48 OSP4 149 RTN End 3x3 S Matrix Input 400
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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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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 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 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
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
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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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