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A Complete <strong>Design</strong> Example 329 DB3 = 4.629 dB. (45) DB2=3.849. (44) DB1=36.40. (43) IIQL=66.00. (42) QL4 =2.129. (41) 2. 1,=2>2, I K =3, a=1. (51) m=6(4+2-2)=24 dB/octave. (50) L K = 82.39 dB. (49) DB5= 1.779+ 14.64= 16.43. (48) DB4 = 9.54. (See comment in Section 8.6.12.) (47) DB3= -9.54. (45) DB2 = 34.08. (44) DBI = 37.89. (43) IIQL = 78.42. (42) QL4=2.223. (41) 8.6.5. Q Effects QL4 = max(2.129, 2.223) = 2.223; also, 5.155> 2.223 .'. QL4 = 2.223. (52) QLJ = 1.206, Qu=4.055, Qu=7.216, QL4=2.223. (3) QLJ = 6.029E - 3, Q u = 0.0203, Qu = 0.0361, Q L4 =0.0 Ill. (53) Lo'"0.323 dB. (54) 8.6.6. <strong>Design</strong> Limitations ? L o =0.323
330 Direct-Coupkd Filters 8.6.8. Prototype Ohmic Values R,,=68.19; R 22 = 229.29, RJ3 = 408.05, ~ R 44 = 50, L,v = 35.79 nH. (58) X 2 , = 305.88, X'4 = 142.83 ohms. (59) X gI = 30.15 ohms (lossless network). (60) 8.6.9. Component Acceptability E=0.1714. (64) 8.6./0. Shunt Inductance Adjustment. For possible optimization (not used): (66) aE aLi = -0.1419, aE aL = - 0.2977, 2 aE aL = -0.1976, , (67) (68) (68) (69) 8.6.11. Final Component Values R=0.9898. (70) K Y K X K I 1. 6.029E-3 2 0.02027 1.0001 3 1.0007 0.04211 4 0.03139 1.0006
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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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Page 298 and 299: Designing with Lande Inverters 283
Page 300 and 301: Designing with L and C Inverters 28
Page 302 and 303: Designilrg with Lande Inverters Sup
Page 304 and 305: Designing with L and C Inverters 28
Page 306 and 307: General Inverters, Resonators, and
Page 310 and 311: Genera/Inverters, Resonators, and E
Page 312 and 313: conductance of the Kth resonator is
Page 316 and 317: Table 8.2. General Inverters, Reson
Page 318 and 319: General Inveners, Resonators, and E
Page 320 and 321: Four Importunt Pussband Shapes 305
Page 322 and 323: Four Important Passband Shapes 307
Page 324 and 325: FOIl' Important Possband Shopes 309
Page 332 and 333: Fou, Important Passband Shapes 317
Page 334 and 335: Four lmporlunt Pussband Shupes 319
Page 336 and 337: Comments on a Design Procedure 321
Page 342 and 343: -----~------------ A Complete Desig
Page 346 and 347: A Complete Design Example 331 R,,(l
Page 348 and 349: ------- Problems 333 For Z=O+jX, fi
Page 350 and 351: ------------- 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
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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
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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
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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
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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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