Page 478 - Schaum's Outline of Theory and Problems of Signals and Systems

Index 465

Fourier transform (continued)
properties, 295
tables, 299, 300
Frequency
angular, 211
complex, 218
fundamental, 11, 211
radian, 11
Frequency response
continuous-time LTI systems, 223, 262
discrete-time LTI systems, 300, 326
Frequency selective filter, 227

G
Gain, 225
Gaussian pulse, 261
Generalized derivatives, 8
Generalized functions, 7, 37

H
Harmonic component, 213
Hilbert transform, 271
Homogeneity. 18

I
Identity matrix, 371
IIR (see Infinite impulse response)
Impulse-invariant method, 339
Impulse response
continuous-time LTI systems, 56
discrete-time LTI systems, 61
Impulse train, periodic, 238
Infinite impulse response (IIR), 66
Initial condition, 61
Initial rest, 61
Initial state, 418
Initial-value theorem
unilateral Laplace transform, 150
unilateral z-transform, 205
Initially relaxed condition (see Initial rest)
Interconnection of systems, 80, 123
Inverse transform (see Fourier, Laplace, etc.)
Invertible system, 55

L
Laplace transform
bilateral (two-sided), 110
definition, 110
inverse, 119
properties, 114, 132
region of convergence (ROC), 111
tables, 115, 119
unilateral (one-sided), 110, 124, 151
Left-sided signal, 114
Linear-phase filter, 334