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490 Subject Index
equivalent:
bandpass. 365, 366
LC.467
node·type. 364
lossless, 47, 52, 57
lowpass, 51
mi.nimum phase. 57, 58
singly terminated, S7, 96
synthesis realization. 56
terminated, S9
Network analysis overview. 4
Network synthesis aids overview, 3
Neutralization, 241
Newton's method, 35, 125. J26, 133, 167. 169.
196.201 .
Nodal analysis. 69, 86
Node bridging, nonadjacent:
current interpolation, 89
example. 90. llO, III
using bridged-T chain parameters, 86
Noise, numerical. 144
Noise figure calculations. 79
Nonlinear programming overview. 4
Norm, 37
Norton source, 247
Norton transformation, 172,209,210,290,
365. 369
Numerical analysis tools. 3
Numerical instability, 13
Numerical integration. 13
Numerical noise. 14
Numerical overflow, 41
Objective function:
gradient of, 153
minimax. 152
prh difference, 151
satisfied-when-exceeded, 15 J
squared-error, 223
Open-circuit parameters:
ABeD parameters relationship, 55
of bridged~T invulnerable network, 378
Optimization:
blind man analogy, 116, 124
constrained, 158
flowchart. 115
linear search, 127
network. flowchart, 154
overview, 4
Oscillator frequency stability, 96
Overshoot, 313
Paraboloid. output power, 247
Paralleled reactances, 178, 277
Parallel resistance, 276
Parameter. two-port:
conversion, 78
normalization, 80
open-circuit, 209
scattering, 92
Partial fraction expansion:
algorithm, 63
definition, 62
Passband, recurring, 299
Passband shapes:
Butterworth (maximally flat). 308
Chebyshev (overcoupled), 305
comparison, 313
Fano (undercoupled), 310
minimum loss. 314
Pessimization, L62
Phase compensation, 86
Piecewise linear function, 19, 21
Pi network:
configuration, 173
mapping, 245
reactance equations, 174
Pole at origin. 60
Polynomial:
ABCD.50
addition and subtraction of parts, 49, 50
complex, 34
creation from zeros, 44
for doubly termirH\\ed minimum loss filters,
316
evaluation, 31
even and odd. 60
fundamental synthesis relationship. 48
Hurwitz test. 54
Legendre, 68
multiplication. 45
network synthesis, 41
rational, 52, 59
for singly terminated minimum loss filters,
318
Polynomial approximation:
example of piecewise linear. 23
minimax, 19
piecewise linear functions, 19
rational, 24
Power:
available at two·port output, 247, 272
bounds on transfer, 372
efficiency, 92
input, 92
load. 46
maximum added. 254, 272
max.imum available, 46. 173, 203
reactive, 277
real incident, 93
transfer, 46. 94, 235
transmitter harmonic, 373
waves, 93
Power series, 20, 32