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486 Subject Index
second kind, 32. 314, 341
Chebyshev response, 67, 458
Circles:
bilateral gain, 264
concentric, 264
eccentric, 253
unilateral gain, 269
Circutator. three·pan, 78
Coefficients:
bilinear, 232, 241, 261
complex. 11. 35
Levy's, 27
mapping, 242, 245, 249
normalization, 10
pivot. 10
power series. 20, 22
real linear equations, 8
reflection, generalized, 46
scaling, 21
weighting. 22
Combline fiher, 301
Commensurate filters, 336
Complex four functions, 7, 386
Comptex linear update, 73, &0, 92
Complex variables:
polar format, 7
polar.to-reclangular conversion. 82
rectangular format, 7t
Computer program features. 2. 46
Computing. an of. 1
Conditioning:, numerical. 21, 26, 64. 232
Conic. 121
Conjugate gradient:
algorithm. 134
directions. 450
Conjugate match, 173
Conjugate pairs. 38. 45, 64
Conjugate terminations, 252
Conjugate vectors. 134, 135
Constraints:
active, 157
binding, 157
equality, 157
feasible, 165
implicit, 157
inequality. 157
linear. 162
mixed, 165
satisfied~when-exceeded. 157, 165
transformations for variables, 161
upper and lower bounds, 157. 159
Continued fraction expansion',
examples, 52
Hurwitz test using, 54
input resistance, 296
(owpass and highpass. 52
of reactance functions, 51
shorthand notation for, 52
Convergence, 136. 145
Conversion, three~port to two-port, 238
Convolution integral. 97
Coupling:
between bars, 343
coefficient. 285, 302
edge, 336
end, 302
mutual magnetic, 284
selectivity effects. 303
Cramer's rule. 233
Current division, 87
Currents in shunt branches, 70
Curve fitting. complex, 26
Damping. terminating conductance, 255
Data:
discrete, 25
noisy, 25, 234
transistor, 252, 255, 265. 270, 272
triple~, 27, 232
DATA statement, JI
Decrement, 74, 88, 112. 193, 198. 201, 378.
380
Derivative:
by Cauchy-Riemann principle, 35
directional, 137, 138. 168
exact panial, 104, 11 L 112
by finite differences, 103, ilL 112, 144
normalized partial, 102
by numerical differentiation, 97
of objective function, 116
operator notation. 101, 105
partial. 26, 33, 36, 65, 103
programming of, 126
scaling. 101
second, 124
Design steps, I 13
Determinant, 233
Direct~coup\ed filters:
equivalent network at tune frequency, 296
design example. 327
design flowchart, 321
design limitations, 323
equal-stub realiLation, 337
equations. 457
origins, 273
overview. 5
prototype network, 273. 276, 278, 337
selectivity, 275
sensitivities, 324
shunt-L adjustments, 323
transfer function, 279
tuning rule, 288
Direct filter design overview. 6
Dissipation effect on:
input resistance. 295
inverters. 297