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Hendrik Wade Bode Network Analysis and Feedback Amplifier Design
Hendrik Wade Bode  Network Analysis and Feedback Amplifier Design









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: Network Analysis and Feedback Amplifier Design

: Hendrik Wade Bode

:

This book was originally written as an informal mimeographed text for one of the so-called " Out-of-Hour " courses at Bell Telephone Laboratories. The bulk of the material was prepared in 1938 and 1939 and was given in course form to my colleagues there in the winters of 193940 and 1940-41. During the war, however, the text has also been supplied as a reference work to a considerable number of other laboratories engaged in war research. The demand for the text on this basis was unexpectedly heavy and quickly exhausted the original supply of mimeographed copies. It has consequently been decided to make the text more widely available through regular channels of publication.


: en

: /

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ed2k: ed2k stats

: Twelfth printing

: 1975

: 577

: 06.08.2009

: | | ID
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$W_0$      see Computation of $W_0$
$\alpha$ and $\beta$ loops in a feedback circuit      158
$\beta$ circuit      35 4445 56 385
$\beta$ equalization      283 391
$\beta$ loss      457 462 477 486 511
$\mu$ and $\beta$ circuits      3140
$\mu$ circuit      see Forward circuit also
$\mu\beta$      3233 47
$\mu\beta$ characteristic      3233 512513 see
$\mu\beta$ effect or error      33
$\mu\beta$ loop      3242
A and B prescribed in different frequency ranges      328331
Absolute level of attenuation      287
Absolute level of gain, around a feedback loop      475 493
Absolute level of gain, in an interstage network of four terminals      431440
Absolute level of gain, in an interstage network of two terminals      408 415420
Absolute level of resistance      287
Absolutely stable amplifier      see Stability
Absolutely stable amplifier, change from unstable to      288290
Active circuit, impedance      6671
Active circuit, mesh equations for an      67
Active circuit, nodal equations for an      1315
Active circuit, Thevenins theorem in an      7678
Active element      246248
Active element, effect of introduction upon location of zeros      117
Active impedances, combinations of      191195
Active impedances, construction of      170 185 189191 246248
Active impedances, relation of feedback to      6671
Active structures, physical      134
Active transfer impedance, representation      244248
Active transmission characteristic      see External gain characteristic
Admittances, driving-point      15 24
Admittances, mutual      11
Admittances, self-      11
Admittances, transfer      15 24
Admittances, zeros and poles of      2425
Adpedance      15
Affel, H.A.      499
All-pass phase correcting structures      236242 247
All-pass phase correcting structures, addition of, to a transfer impedance      239
All-pass phase correcting structures, definition of      239
All-pass phase correcting structures, design parameters of      241242
All-pass phase correcting structures, properties of      239242
All-pass phase correcting structures, simple and anti-resonant types of      237
Alternative cut-off characteristics      471476
Alternative forms of equalizing structures      270272
Amplification      1 67
Amplification, representation by equivalent plate generator      1
Amplifier      7 3132 3537 45 48
Amplifier as a repeater      499
Amplifier with a double feed back path      499502
Amplifier with band-pass transmission characteristics      502509
Amplifier, absolutely stable      162164 288 453
Amplifier, available feedback in band-pass      479 485
Amplifier, conditionally stable      162164 289 452
Amplifier, design, applications of phase area, law in      288291
Amplifier, design, single loop      see Single loop amplifiers
Amplifier, feedback      see Feedback amplifier also Type
Amplifier, forward circuit      53
Amplifier, frequency transformations in design of      208 210211
Amplifier, gain      3233
Amplifier, impedance      3738 73
Amplifier, lower cut-off characteristics for      509517
Amplifier, non-feedback      52
Amplifier, phase and gain margins      479 497
Amplifier, regenerative      53
Amplifier, regulating broad band      509529
Amplifier, stage      see Interstage network
Analysis methods, mesh and nodal      1317
Analytic conditions on network characteristics      278280
Analytic functions      2728
Analytic functions, Cauchys theory of      137151
Antenna coupling circuit for radio transmitter      360
Anti-resonant networks      see Resonant or anti-resonant networks
Approximation of actual characteristics by straight lines      337339
Arc-discharge      186
Arithmetic frequency scale, relation between phase and attenuation characteristics on      318319
Armstrong frequency modulation receiver      490
Asymptote of feedback loop characteristic      see Asymptotic characteristic
Asymptotic characteristic      458461 471 493 495496
Asymptotic contributions of tubes and circuits to      476477
Asymptotic crossover frequency, $f_a$      465
Asymptotic frequency, effective      484485
Asymptotic limitation on maximum available feedback      461468
Asymptotic loss of the loop      495496
Asymptotic path in feedback circuit      463464 496
Asymptotic slope      459460 474 475 478 485 496 513 518
Asymptotic zero gain intercept      460
Attenuation      28 233 236
Attenuation characteristic for given phase      320322
Attenuation integral theorem      280283
Attenuation reduction      226236
Attenuation units      287
Attenuation, complementary      249
Attenuation-phase charts      337
Automatic compensation for phase      310
Available characteristic, definition      105
Average dissipation, Q, in coils and condensers      219223
Balancing network      500
Band width, conservation of      211214 361 363 382 454 485
Band-pass equivalent      375 see
Band-pass equivalent, dissipation distribution      507
Band-pass equivalent, transmission characteristics      502509
Barnes, J.L.      13
Bartlett, A.C.      268
Bierens de Haan, D.      314
Bilateral $\beta$-circuit      60
Bilateral elements      10 47 54 7173 78 134
Bilinear transformations      223
Black, H.S.      31
Blackman, R.B.      66 378
Blackwell, O.B.      378
Blocking condenser      404 492 510511 513
Blocking-grid leak combinations      513
Bocher, M.      110
Bode, H.W.      208 326 374 376 392 451 517
Boghosian, W.H.      430 489
Boundary values of a function, relation of values in the interior to      147
Branch equations, for a passive circuit      14
Bridge circuits      243 271
Bridge-type feedback      464
Bridge-type network      56
Bridge-type network, reference feedback as a balanced      61 8385 8890
Bridged-T equalizer, design formulae      272275
Broad-band amplifier, regulating      see Regulating broad-band amplifier
Brune network      233 235 247 250 253 259
Brune network, analytic inverse of      198
Brune network, to represent lattice branch impedance      254
Brune, O.      171
Brunes method of developing a general passive impedance      171 182185 190
Burrows, C.R.      482 489
Bush, V.      300
Calculus of residues      144147
Campbell, G.A.      19 231 266 271
Capacity potentiometer      401 459 495 505
Capacity, interstage      177
Capacity, lumped      1
Capacity, parasitic      see Parasitic capacity
Capacity, path at infinite frequency      177 459
Capacity, reciprocal, or stiffness      2
Capacity, resistance combinations in cathode leads      510513
Carson, J.R.      19 222 300
Cathode      1 6 14
Cathode, biasing      510513
Cathode, directly heated      35
Cathode, feedback circuit      3941 45
Cathode, type feedback, general      86 361
Cathode, type feedback, in coaxial repeaters      388
Cathode, volume performance and external gain relations in      400
Cauchy integral      145
Cauchys Theorem      142 276 278 280
Chaffee, J.G.      489
Charge, electrical      2
Charge, law of conservation of      3
Charts 16, characteristics of four-element interstages      445450
Charts IXIV, computation methods for semi-infinite constant slope characteristics of      341344
Charts IXIV, illustrative applications of      344345
Charts IXIV, imaginary component of complex function      346359
Charts IXIV, summary of      339341
Charts IXIV, use of      372 377 380 395 423
Choice between mesh and nodal analysis      1517
Choice of coefficients in impedance expressions      206208
Choke coils      404 510
Circuit determinant      4849
Circuit loss, $A_t$      477480 496 see
Circuits, $\beta$-      3134 3738 40 4546
Circuits, $\mu$-      7 3133 35 37 3940 4546
Circuits, active      1 51 66 134 170 244
Circuits, amplifying      see Amplifier
Circuits, bridge-type      243
Circuits, feedback      see Feedback amplifier also Type
Circuits, input and output      see Input and output circuits
Circuits, ladder or series-shunt type      243
Circuits, passive      14 51
Circular impedance loci      223 382
Coaxial line      305 309312
Coaxial system, design of repeater      360 see
Coaxial system, external gain and volume performance      388392
Coefficient, coupling      5
Combination of active impedances      191195
Combination of low-pass and high-pass characteristics      509
Comparison amplifier      35
Compensation theorem      80
Complementary equalizer characteristics      249250 264
Complementary impedance characteristics      199200
Complex branch impedance      223
Complex frequency      18 137 223
Complex frequency, driving-force      18
Complex frequency, physical validity of      2830
Complex frequency, plane      2224 29
Complex frequency, response measurement      29
Complex integration vs real      138139
Composite equalizer structures      250260
Computation of $W_0$      7879 8891
Computation of $W_0$ for amplifier with local feedback      9597
Computation of local feedback and sensitivity      9899
Computation of phase for prescribed attenuation      337345
Computation of transmission from plate to grid      9195
Condenser      see Capacity
Conditional and unconditional stability      162164
Conductance reduction      see Resistance reduction
Conformal variation of network characteristic      224
Conjugacy      38 106 115 172
Conservation of band width      211214 361 363 382 454 485
Constant impedance devices      224
Constant loop gain area condition      456
Constant resistance equalizers      283285
Constant resistance filters      255
Constant resistance, image impedance      229
Constant resistance, representation of a general transfer impedance      227235
Constant-k high-pass or low-pass filter      207
Constituents of general impedances      246248
Construction of a general transfer impedance      230235
Contour integrals in limiting cases      139141
Contour integration in the complex plane      138139
Contour integration of the logarithmic derivative      147151
Contour integration path      143 278280 296
Contour integration path, relation between integral and      141144
Contour integration, formulae for network functions      277280 291302 305307
Contour integration, general      137169
Contour integration, interstage network design      377
Contour integration, relations in input and output network design      377 380381
Contour integration, two theorems from function theory      167169
Conversion circuit, FM to AM      490
CR product      511513
Critical frequency      218
Critical frequency, displacement by parasitic dissipation      244
Critical point      154 158 452 475476
Current      22
Current branch      3
Current condition, nodal      2 4
Current equilibrium      1 11
Current generator      12 14 189
Current in-phase and quadrature components      19
Current instantaneous      8
Current mesh      3 6
Current nodal      7
Cut-off characteristics, alternative      471476
Cut-off characteristics, loop      see Loop
Cut-off characteristics, Q and element value limitations on      507
Cut-off characteristics, variable      see Regulating broad-band amplifier
Cut-off rate      471
Darlington, S.      171 203 217 229 370
Decade, definition      315
Decibels      33
Decino, A.      489
Decomposition of general transfer characteristic      251
Degeneration in a general feedback circuit      285286
Delay distortion      310
Design formulae for bridged-T equalizers      272275
Design methods for feedback structures      104105 see
Determinants      24
Dickson, L.E.      110
Dietzold, R.L.      489
Differential mesh equations      109110
Direct transmission      53 5657 6061 82
Discontinuity in one component of $\theta$ or its derivative      339
Dissipation in filter design      217
Dissipation in filter design, Taylors series expansion      219
Dissipation, energy function      127 171
Dissipation, parasitic      216
Dissipation, parasitic, formulae for effects of      220222
Dissipation, parasitic, in distortionless media      222223
Distortion generator      7980
Distortion generator, reduction of effects of, by feedback      45 7980
Distortionless media      222
Double feedback path      499502
Driving-point functions      226228 231232 236 263
Driving-point functions, constituents of general      246248
Driving-point immittance      196 226 244248
Driving-point immittance functions, representation of general      188195
Driving-point impedance      89 223 244248
Driving-point impedance as a function of a single element      910
Driving-point impedance, physical representation of      170195
Duality between impedance and admittance analysis      13 196 227
Dynatron      186
Effective asymptotic frequency      484 485
Effective band width of feedback amplifier      453 458 470471
Effects of parasitic dissipation      216222
Electrical engineering staff of M.I.T.      31
Element values, range of      503
Elementary equalizer structures      251253
Elementary theory of feedback circuits      3135
Energy functions in a passive network      125128
Energy functions in a passive network, dissipative      127
Energy functions in a passive network, positive definite      128 134
Energy functions in a passive network, relation to impedance and power to      127132
Energy functions in a passive network, relation to stability      132134
Energy functions in a passive network, stored      127
Envelope feedback for radio frequency transmitter      479480 493498
Equalizer      83 238239 245 518
Equalizer design      249275
Equalizer design, alternative forms of      270272
Equalizer design, bridged-T      271275
Equalizer design, parameters      265266
Equalizer in $\beta$-circuit      492493 518
Equalizer with parasitic capacity      283285
Equalizer, the line      391 518
Equilibrium, current      11
Equilibrium, voltage      10
1 2 3 4 5
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