Page 480 - Schaum's Outline of Theory and Problems of Signals and Systems

Index 467

O
Observability matrix, 406, 418
Observable system, 406, 418
Odd signal, 3
Orthogonal sequences, 308
Orthogonal signals, 231

P
Parseval's identity (see Parseval's theorem)
Parseval's relation
discrete Fourier series (DFS), 315
discrete Fourier transform (DFT), 307
Fourier series, 244
Fourier transform (continuous-time), 221, 258
Fourier transform (discrete-time), 298
Parseval's theorem
discrete Fourier series (DFS), 290, 315
discrete Fourier transform (DFT), 307
Fourier series, 214
Fourier transform (continuous-time), 222, 258
Fourier transform (discrete-time), 361
Partial fraction expansion, 120, 174
Pass band, 227
Period, 4
fundamental, 4
Periodic convolution
continuous-time, 75
discrete-time, 96
Periodic impulse train, 238
Periodic sequences, 288
Periodic signals, 4
Phase distortion, 225
Phase response, 224, 301
Phase shifter, 269
Poles, 112
Power, 5
average, 5
Power series expansion, 174, 188
Power signals, 5

R
Random signals, 3
Real signals, 2
Recursive equation, 65
Region of convergence (ROC)
Laplace transform, 111
z-transform, 166
Relationship between
the DFT and the DFS, 305
the DFT and the Fourier transform (discrete-time), 306
Response
frequency, 223, 262, 300, 326
impulse, 56, 61
magnitude, 224, 301
phase, 224, 301