data sequences, 21
DFS coefficients, 340
DFT, 421
DC, 289
difference equation, 572
dc gain, 569
difference equations, 74, 312, 395
Lee & Varaiya, Signals and Systems
709
INDEX
differential equation, 326, 577, 638
DiscreteTime, 8
differential equations, 68, 72, 226, 312, 555
DiscreteVerticalSpace, 14
differential precoder, 147
differentiator, 641
DiscToCont, 480
disjunction, 661
digital audio tape, 37
Display, 14
digital cellular telephone, 615
digital circuits, 139
DNA, 3
digital signal, 26
digital signal processing, 237
domain name server, 57
digital signal processor, 237
don’t care, 151
digital telephony, 26
double, 63
digital video discs, 37
Doubles, 63
dimension of a matrix, 221
DSL modems, 615
dimension of a system, 189
DSP, 237
Dirac delta function, 371, 460, 485, 490,
DSP toolbox, 385
Dirac delta functions, 440, 482, 491, 498
DTMF, 35
direct current, 289
duality, 469
direct form 1, 404
direct form 2, 405
DVD, 37
Dirichlet conditions, 297, 501, 502
e-mail application, 247
DiscPeriodicp, 415
echo cancellation, 621
discrete complex exponential, 324
discrete event, 243
eigenfunction, 322
discrete Fourier transform, 421
eigenvalue, 591
discrete square wave, 423, 461
eigenvector, 607
discrete to continuous conversion, 481
electrical circuits, 638
discrete-event phase, 243
electrical power, 11
discrete-time Fourier series, 302, 338, 419
electromagnetic radiation, 3
discrete-time Fourier transform, 379, 424
electromagnetic waves, 279
elements, 654
discrete-time signals, 22, 300, 313
ellip command in Matlab, 396, 398
discrete-time systems, 313
elliptic filter, 396
DiscreteHorizontalSpace, 14
else, 100
710
Lee & Varaiya, Signals and Systems
INDEX
else arc, 100
complex numbers, 53
embedded computer, 237
exponential scaling property:Laplace trans-
embedded system, 139
form, 604
embedded systems, 402
exponential sequence, 208
empty sequence, 665
exponential signal:Z transform, 541
Encoder, 62
expressions, 670
factoring polynomials, 688
end-to-end, 251
factory automation, 3
energy, 296
false assertion, 656
EnglishText, 20
far-end signal, 621
EnglishWords, 20
fast Fourier transform, 303, 422, 437
enhance, 27
environment, 260
feedback composition, 610, 624
Equal, 106
feedback control, 610
equalization, 612
feedback control system, 38
equilibrium, 197
fft command in Matlab, 437
equivalence relations, 104
fifth, 281
error signal, 627
File, 20
estimation, 276
filter, 364
ethernet, 247
filter coefficients, 395
Euler’s formula, 330, 693, 701
filter command in Matlab, 398
Euler’s relation, 541
filter design, 398
event stream, 21
filter implementation, 398
event streams, 94
event trace, 21
finite, 304
EventSet, 21
finite Fourier series approximation, 289
EventStream, 21
finite impulse response, 382, 540
exchanging integral and summation, 350
finite impulse response system, 211
existential quantification, 659
finite signal, 286
Exp, 23
exp, 53
finite summation identity, 423
exp, 692
exp command in Matlab, 700
first harmonic, 283
exponential, 53
first-order hold, 481
Lee & Varaiya, Signals and Systems
711
INDEX
fixed points, 90
gcd, 294
flash memory, 2
geometric series identity, 504
focus, 365
geosynchronous, 35
geosynchronous satellite, 623
GHz, 279
forking, 152
Gibb’s phenomenon, 291
forward-Euler approximation, 606
gigahertz, 279
Fourier analysis, 434
glitches, 239
Fourier series coefficients, 339, 415
graph, 54
Fourier series expansion, 289
graphics, 276
Fourier transform, 381, 417, 429
grayscale, 12
Fourier transforms, 414
greatest common divisor, 294
Fourier, Joseph, 289
ground wire, 11
fourth-power law, 32
guard, 100
frames, 16
guards, 237
FrameTimes, 16
free variable, 671
hand off, 32
hardware, 400
harmonic motion, 70
frequency response, 75, 312, 324, 324, 379,
helicopter, 499
difference equation, 575
differential equation, 581
hertz, 279
FSM, 98
hierarchical composition, 154
high fidelity, 364
full duplex, 43
HorizontalSpace, 13
function space, 28
hostnames, 57
hot wires, 11
in Matlab, 64
household electrical power, 11
functions of time, 313
fundamental, 283
hybrid, 621
fundamental frequency, 289
hybrid systems, 232
Gödel, 176
712
Lee & Varaiya, Signals and Systems
INDEX
i, 689
Indices, 21
i command in Matlab, 700
induction, 203
ideal interpolation, 481
inductors, 638
IdealInterpolator, 481
infinite impulse response, 208, 212, 215,
textbf, 485
identically zero, 626
identities, 76
identity, 204, 229, 384, 412, 504, 531, 562,
initial state, 95
initial value problems, 571
identity matrix, 224
Initial value theorem, 546
identity:finite summation, 423
initial value theorem, 547
ignition control, 139
input alphabet, 95
input signal, 78
IIR systems, 212
input signals, 95
Inputs, 94
Im{z}, 690
instantaneous reactions, 138
imag command in Matlab, 700
Image, 13
Integers16, 7
image enhancement, 3
integral contoller, 641
Image processing, 276
integral formula, 418
image understanding, 276
integrals, 520
images, 12
integration property:Laplace transform, 553
Intensity, 13
imaginary axis, 525
intensity, 285
interactive voice response, 2
internal rate of return, 205
impedance, 621
Internet, 29
imperative, 58, 63, 94, 276, 365
sound, 27
implementation of filters, 398
telephony, 35
internet, 247
impulse, 198
Internet image search, 3
impulse response, 198, 198, 210, 375, 376
Internet protocol, 7
SISO systems, 586
internet protocols, 251
interpolating, 471
ImpulseGen, 483
impulses, 371
incompleteness theorem, 176
inverse, 224
Lee & Varaiya, Signals and Systems
713
INDEX
inverse Fourier transform, 417
linear, space-invariant, 365
inverse transform, 536
LinearInterpolator, 481
inverse Z transform, 540
inverses, 416
of Fourier transforms, 451
IP, 7
linearity:of the Laplace transform, 532
IP address, 57
linearity:of the Z transform, 539
Iridium, 33
LineSignals, 61
ITU, 37
local loop, 30
iTunes visualizer, 2
LocalLoop, 61
IVR, 2
logical connectives, 661