Signal Processing and Linear Systems-B.P.Lathi copy

3 4 f sin3t 7 7 2 8 2 4 6 2 3 6 3 2 b c hapter

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Unformatted text preview: forced response of, 597, 598 frequency response of, 716 n atural r esponse of, 597, 598 realization of, 693 s tability of, 603 s tate e quations of, 823 time-domain analysis of, 573 transfer function of, 372 I NDEX 846 z -transform analysis of, 353 zero-input response of, 578, 689 zero-state response of, 213 D istortionless transmission, 268 D istributed-parameter s ystem, 87 Downsampling (decimation), 561 D uality p roperty o f t he Fourier transform, 253 Dynamic s ystems, 84 D ynamical e quation, 787 Eigenvalues, 42, 107 invariance of, 813 o f a m atrix, 42, 804 E nergy s ignals, 60 E nergy s pectral density, 275 Envelope d etector, 284 E qual r ipple functions, 515 E rror c onstants i n c ontrol systems, 443 Essential b andwidth, 276, 737 E uler f ormula, 6, 19 E ven f unction, 75 E verlasting exponential, 73, 249 E xponential Fourier series, 206 E xternal d escription o f a system, 92 F ast F ourier transform ( FFT), 217, 352 Feedback s ystems, 426 negative, 429, 448 positive, 429, 448 F ilters allpass 535 b andpass, 501, 505, 526, 725, 752 b andstop ( notch), 502, 505, 531, 727, 752, Bessel T homson, 535 B utterworth, 501, 505 C hebyshev, 501, 514 elliptic, 523 frequency sampling, 771 f requency transformations in, 524 highpass, 503, 505, 524, 725, 750 i deal,270 inverse Chebyshev, 522 lowpass, 500, 505, 725 nonrecursive, 730, 756, 761, 771 r ecursive, 729, 734, 740 p assband of, 504 s topband of, 504 F inal value theorem, 410, 685 F inality p roperty o f Fourier coefficients, 186 First-order hold, 324, 358 Folding frequency, 327, 558 Forced response, 139, 140, 597, 598 Fourier, Jean-Baptiste-Joseph, 187 Fourier integral, 237, 627 Fourier series, 185, 189, 206 D irichlet conditions for, 194, 195 exponential, 206 g eneralized, 185 s ymmetry c onditions in, 198 trigonometric, 189 Fourier s pectra o f c ontinuous-time Fourier transform, 239 o f d iscrete-time Fourier series, 619 o f e xponential, 208 t rigonometric, 194 Fourier transform, 240, 627 d uality ( symmetry) p roperty of, 235 existence of, 239 frequency-convolution p roperty of, 263, 634 frequency-shifting p roperty of, 259 linearity of, 240 n umerical c omputation of, 338 physical appreciation of, 240 s caling p roperty of, 255 Table of, 252 t ime c onvolution p roperty of, 263 t ime d ifferentiation p roperty of, 264 t ime i ntegration p roperty of, 264 t ime s hifting property of, 257 Frequency division multiplexing (FDM), 300 F requency-domain analysis, o f c ontinuous-time systems, 243, 244, 361, 365 o f d iscrete-time systems, 660, 668 o f s tate e quations, 811, 829 Frequency modulation, 289 Frequency resolution, 340, 343 Frequency response, 471, 716 I NDEX F requency sampling filters, 771 F requency shift keying ( FSK), 295 Frequency-shifting property, 259, 349, 385, 6 34,644 F requency spectra, 194, 239, 619, 627 F undamental frequency, 189, 551 F undamental frequency range, 551 G ain crossover frequency, 491 G ate f unction, r ect(t), 245 b andwidth of, 248 Generalized Fourier series, 185...
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