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

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Unformatted text preview: als, 174 O rthonormal s et, 184 O utput, 77 O utput e quation, 786 Paley-Wiener criterion, 271 P arseval's theorem for Fourier series, 186, 214 for Fourier transform, 275 I NDEX for discrete-time Fourier series 664 for discrete-time Fourier transform 635 P artial fraction expansion, 24, 371, 675 modified, 33 P assband o f a filter, 504 P eak t ime, 431 P ercent overshoot, 431 P eriod o f a c ontinuous-time periodic signal, 15, 5 9,200 P eriod o f a d iscrete-time periodic signal, 548 Periodic signal, continuous-time, 58, Periodic signal, discrete-time, 548 Periodicity condition i n d iscrete-time signals, 548 P hase crossover frequency, 491 P hase-locked loop (PLL), 299 P hase m odulation, 289 P hase response, 268, 472, 717 P hase s hift keying ( PSK), 295 P hase s pectrum, 194, 239, 619, 628 P icket fence effect, 340 P olar p lot, 491 P ower signals, 60 P osition error c onstant, 443 Probabilistic signals, 60 P ulse a mplitude modulation (PAM), 331 P ulse code modulation ( PCM), 332 P ulse dispersion, 158 P ulse position m odulation ( PPM), 331 P ulse w idth m odulation ( PWM), 331 P ythagoras, 2 Q uadratic e quation solution, 49 Q uantizing, 332 R andom signals, 60 R ectangular window, 302, 305, 650, 763, Recursive filter, 729, 734, 740 R egenerative repeater, 334 Region o f convergence, 362, 366, 367, 451, 670, 704 R ight h alf plane ( RHP), 74 Rise time, 156, 431 Rolloff rate, 303 R oot locus, 438, 439 I NDEX Sallen-Key circuit, 408 S ampled-data ( hybrid) systems, 697 Sampling (sifting) p roperty o f impulse function,71 S ampling r ate (frequency), 321, 558 Sampling theorem, 319 applications of, 331 d ual of, 336 Scaling property, 255, 388 Sidebands double, 277 lower, 278 single, 286 upper, 278 Sidelobes, 303 Signals analog, 58 aperiodic, 59 comparison of, 177 continuous-time, 57 detection of, 179 digital, 58 discrete-time, 57 distortion during transmission of, 268 energy, 60 e nergy of, 52, 274, 556 essential b andwidth of, 276, 276n periodic, 58 power, 60 power of, 52 representation b y o rthogonal basis signals of, 183 size of, 52 Signum (sign) function, sgn(t), 251 Sinc function, 246 Single sideband signals generation of, 288 demodulation of, 286 Sinusoids, continuous-time 14 Sinusoids, discrete-time, 546 Spectral folding (aliasing), 327, 338, 346, 347, 557, 734, 735, 740, 742 Stability o f a s ystem, 147, 396, 603 a symptotic, 148, 396, 603 849 b ounded-input, b ounded-output ( BIBO), 152, 608 m arginal, 148, 396, 603 S tate e quations, 784, 824 derivation from transfer function of, 791 f requency-domain solution of, 799 o f e lectrical circuits, 788 time-domain solution of, 804, 825 S tate t ransition m atrix, 807 c omputation of, 807 S tate variables, 784 selection of, for electrical networks, 788 S tate v ector, 788 linear t ransformation of, 811 S teady-state e rror, 431, 441 S teady-state r esponse, 476, 717 S topband o f a filter, 504 S trip o f convergence, 451 Superposition principle, 79 Surface acoustic wave (SAW) devices, 567 S ymmetry c onditions i n F ourier series, 198, 2 13,230 S ystems, 77 block-diagram of, 411 causal, 84 characteristic e quation of, 43, 107, 579 classification of, 79 closed-loop, 427 continuous-time, 87, 235, 361 control, 426 discrete-time, 87, 562, 573, 668 d istributed-parameter, 87 dynamic, 84 e xternal d escription of, 92 feedback, 426 finite memory, 84 frequency response of, 471, 716 instantaneous, 84 i nternal d escription of, 92 linear, 79 l umped p arameters, 87 marginally stable, 148...
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