Index 6853-D matrix, 55
Three-dimensional (3-D) signals, 2
Three-phase system, 223, 225
Time complex frequency, 376
Time constant, 127, 129
Time continuous signal, 44
Time delays, 338
Time differentiation, 334
Time domain
block box system diagram, 336–337
in discrete system, 458
DTFT, 472
Fourier transform, 324–325
frequency-domain compared with, 321
ZT, 476
Time frequency
domain, 354–356
Laplace transform (LT), 346
transformations, 333
Time function, obtaining, 346
Time integration, 335
Time invariance, 458
Time invariant linear systems, 461
Time-limited signal, 26
Time reversal, 25, 336, 470, 475
Time scaling, 23, 333–334, 347
Time shifting, 23, 25, 334, 347, 470, 474–475, 493
Time transformation, 23
Time value, initial, 471
Total distortion, 321
Total energy, 108
Transfer f u nct ion
analog, 68
application problems, 451–452
Bessel fi lter, 578
Butterworth fi lters, 580
characteristics of, 40, 338–339, 349, 564, 583
discrete, 70–71
linear time invariant (LTI) system, 351,
461–463, 467–468, 541–546
normalized, third-order fi lter prototype,
643–646
Transform equation pair, 336
Transform pairs, 333–334, 347, 470–471
Transform theory, 56
Transient analysis, 127, 135
Transient electrical network, 135
Transient response, types of
RC, 131
RL, 131
RLC, 131
Transient solut ion
examples, 193 –194
types of, 127Transition bands, 562, 565
Transition response, 130
Transmission lines, 261
Transmission signals, 21
Triangle, symmetric, 36
triang(N) function, 47–48
Triangular waves, 33, 223
Triangular window, 47, 52, 93
Trigonometric identity, 231
tripuls function, 36
Truncation process, 46, 330, 499, 593
TV broadcasting, 22
2-D matrices, 54–56
Two-dimensional (2-D) signals, 2
Two - s i d e d s e q u e n c e, 2 2
Ty p e -1 fi lters
Chebyshev transfer function, 575
FIR fi lters, 590–592
overview, 577, 590
Ty p e -2 fi lters
Chebyshev transfer function, 575
FIR fi lters, 590–592
overview, 577, 590
Type-3 FIR fi lters, 590, 592–593
Type-4 FIR fi lter
characteristics of, 591
frequency response, 593U
Unbalanced load, 225
Underdamped system
characteristics of, 131
examples of, 199–200, 203–204
parallel, 133
series, 135
un = dstep function, 42
Unilateral LT, 346–347
Unit conversions, 107–108
Unit delay, 458
Unit discrete step sequence, 11
Unit doublet, 6–7
Unit impulse, 5, 7, 27
Unit measures, 4, 16, 44, 101–102, 235
Unit ramp function, 12–14
Unit shift, 458
Unit step function
analog, 10
right–shifted, 11
Unit step sequence, 28
unwrap(phase) function, 585
Up-sampling, 44
Utility companies, 107, 223CRC_47760_Index.indd 685CRC_47760_Index.indd 685 7/18/2008 3:10:52 PM7/18/2008 3:10:52 PM