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488 Subject Index<br />

proper, 62<br />

quadratic, 118,127.131<br />

rational, 24, 48<br />

reactance, 58, 220<br />

resistance. 58<br />

similarity. 82<br />

squared magnitude, 36, 47<br />

target. 26<br />

transducer. 47.50,55,67<br />

unit step, 62<br />

Gain:<br />

available power. 264<br />

bilateral, 257, 263<br />

maximally efficient, 254<br />

maximum transducer, 253<br />

maximum unilateral, 268<br />

reverse transducer. 241<br />

transducer, in ABeD terms, 315<br />

unilateral. 267<br />

Gauss-Jordan method, 9, 11. 13<br />

Gewertz' method. 58, 224<br />

Goals:<br />

definition, lSI<br />

floated, 152<br />

target. 223<br />

Gradient, 37. 120, 161,224<br />

Group delay, see Time delay<br />

Handheld calculator programming, 77, 82<br />

Hessian matrix, 124, 125, 132, 134<br />

Hilbert transform. 219, 221, 224<br />

Horner's nesting method, 32. 35. 39<br />

Hyperbolic functions:<br />

complex. 82<br />

tangent approximation, 83<br />

Hyperplanes, 9<br />

Identities;<br />

complex variable, 30, 94, 102<br />

for partial derivatives, 102<br />

residues, 64<br />

among two-port parameters, 55<br />

Image, load plane, 372, 375<br />

lmmittance:<br />

definition, 55<br />

<strong>of</strong> lumped elements, 70<br />

Impedance:<br />

antenna, 24<br />

characteristic, 82, 84, 185<br />

conjugate image, 259<br />

derivative <strong>of</strong> input, 355<br />

even and odd mode wave, 343<br />

input function, 67, 68<br />

input synthesis from real part, 57<br />

input from two-port parameters, 60<br />

interface, JossJess network, 173<br />

load, 46<br />

looking back, 61<br />

matching, 94, 110, 170<br />

node bridging, 89<br />

open~circuit input, 55<br />

output, 272<br />

parallel ohms form, 92, 255<br />

P0rl normalizing, 93, 94. 257<br />

short~circuit input, 56, 58<br />

source, 46<br />

transfer function, 57<br />

two-P0rl input, 50, 52<br />

Impedance matching overview, 4<br />

Inner product, 144<br />

Infinity, 232<br />

Integration:<br />

Romberg, 13. 152<br />

Simpson's rule, 18<br />

trapezoidal, 14<br />

Interpolation:<br />

cubic, 137<br />

linear, 15<br />

Inverse Chebyshev function, 346<br />

Inverters:<br />

in admittance parameters, 290<br />

characteristic impedance, 283<br />

ideal, 277<br />

designing with Land C, 283<br />

magnetically coupled, 284<br />

physical transmission line. 337<br />

trap, 292<br />

Iteration, 138. 146<br />

Jacobian elliptic sine, 348. 352<br />

Jacobian matrix, 196<br />

Kirchh<strong>of</strong>f equations, 11, 12<br />

Ladder network:<br />

ABeD analysis, 78<br />

analysis, 70<br />

including three-ports, 240<br />

examples, 75<br />

nomenclature, 70<br />

null branches, 73, 76<br />

Lagrange multiplier, 195<br />

Laplace:<br />

complex frequency, 24, 62<br />

transforms, 62, 65, 98<br />

Lefl-half plane, 45, 59, 195<br />

Legendre polynomials, 68<br />

Length, electrical, 84. 185. 338<br />

Level curves, 117<br />

Linear equations:<br />

complex coefficients. 11<br />

real coefficients, 8<br />

Linear phase, devialion from, 332

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