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Subject Index 489
Linear search:
direction, 127, 144,450
exact on quadratic surface. 128
example, 142
'first step magnitude, 138
flowchart. 451
in gradient optimization. 137
profile, 137, 142
turning point, 126. 136
Loaded Q:
definition, 277
dislribulion, 305, 308, 310, 312, 328, 458,
459
effective, 300-302
normalized. 281
product, 281, 285, 293
Load effects, 369
Load impedance:
current from power, 71
nonzero real part, 70
reactance, 73
resistance, 73
very large, 70, 79
very small, 79
Loading, capacitive on stub, 299
Load power:
as independent parameter, 71
program input, 73
for transducer loss calculation, 96, 111
Long division, 62
Loss:
flat, 194, 213, 215
midband. approximate, 317
minimum, 377
mismatch. 94
poles, transmission, 48, 86
return. 94
transducer, 95
transmission line, 82
zero~loss frequencies, 48
Lossless source, 96
Lowpass prototype network, 189, 191, 206
L section:
ABeD equivalent, 78, 80, 81, 83
configuration. 173
lossy, 302
matching, 179
Norton equivalent, 209
optimization. 153
reactance equations, 174
Mapping:
coefficients, 242, 245, 26J
decomposition, 242
image, 242, 243. 372
impedance, 238, 241, 260
input admittance plane, 248
outside unit circle, 237
plane onto circle. 235
Matching:
complex source and load, 178
conjugate image, 253, 263, 264
infinite network, 197
using transmission lines, 185, 187
Mathematical overview, 6
Matrix:
addition, 87
algebra terminology, 117
augmented, 9 .
diagonal, 132, 169
exponentiation, 314
Hessian, 124. 125
indefinite, 122
inverse, 54. 66, 120
JacobiBn, J25
multiplication, 79
notation, 9, 54
orthogonal, 132
partitioning, 29
positive definite, 121, 168
row interchange, 10
scattering, 238
symmetric, 118, 121
transformation, 258
transpose operator, 103
unit, 120, 134
Maximally flat function, 308. 458
Metric, 134, 168
Microstrip transmission line, 342
Midseries elliptic filter, 350, 358
Midshunt elliptic filter, 350, 358
Minimum. global. 135
Minimum-loss filters:
doubly terminaled, 315. 455, 459
singly terminated, 317
Mitrovic method, 31, 39, 65
Modeling, 24
Models, two-port:
admittance parameter, 247
impedance and pOwer, 246
input power, 249
transistor ports, 256
unilateral gain. 268
Moore's root finder, 35
Multiplication:
of linear factors with zeros, 44
matrix. 9, 29
polynomial, 45
Neighborhood, 123
Network:
adjoint, 105, 106
doubly terminated, 47