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

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Unformatted text preview: gnals, 58 A symptotically stable system, 148, 603 A utocorrelation function, 182 C ardano, Gerolamo, 3 Carrier, 260, 277 Causal signal, 59 Causal systems, 84 Cayley-Hamilton theorem, 42 Characteristic e quation, 43, 107, 579, 804 C haracteristic modes, 107, 579 Characteristic polynomial, 43, 1 07,579 C haracteristic r oots 107, 579, 804 complex, 108, 579 repeated, 107, 149, 579, 604 C haracteristic value, 107, 579, 804 C harge coupled device ( CCD), 567 Complete set, 184, 185 Complex frequency, 73 Complex frequency plane, 73 Complex numbers, 1 algebra of, 4 arithmetical o perations of, 11 origins of, 2 B andwidth, 212, 248 e ssential, 276, 737 o f a ngle m odulated signals, 296 B haskar,4 B ilateral L aplace transform, 362, 449 Bilateral z-transform, 659-662, 668, 704 B ilinear transformation, 740 p rewarping inherent in, 743 simplified design procedure, 748 8 44 C ontinuous-time system, 87 forced response of, 139, 140 frequency response of, 471 Laplace-transform analysis of, 365, 394 n atural r esponse of, 139, 140 r ealization of, 414 s tability of, 148 s tate e quations of, 788 time-domain analysis of, 104, 804 t ransfer function of, 394 zero-input response of, 80, 106, 392 zero-state response of, 80, 118, 392 Control systems, 426 analysis of, 429, 434 design specifications of, 433 error c onstants in, 443 s tability c onsiderations in, 448 C ontrollability, 93, 818, 830 C onvolution, 120 c ircular (or periodic), 349, 644, 651 graphical u nderstanding of, 127 properties of, 121 Table of, 125 Convolution s um, 587, 366, 683 graphical procedure of, 592 p roperties of, 587 sliding t ape a lgorithm of, 594 Table of, 590 C orner ( break) frequency, 481 Correlation, 177 application t o s ignal detection , 179 coefficient , 177 convolution, comparison with, 182 functions, 181 C ramer's rule, 22 C ubic e quation s olution, 3, 49 D ata t runcation, 300, 340 D amping ratio, 434 Decimation (downsampling), 561 Decimation-in-frequency algorithm, 356 Decimation-in-time algorithm, 353 Decomposition property, 80, 105 Deconvolution, 615 D emodulation 8 45 o f AM, 284 o f a ngle m odulated signals, 299 o f d ouble s ideband ( DSB-SC), 280 o f single s ideband (SSB-SC), 286 Diagonal matrix, 35 Difference equation, 564, 573 classical solution of, 598 z-transform solution of, 685 iterative solution of, 574 time-domain solution of, 578 Decibel, 478 Differential equation, 104 time-domain solution of, 106 classical solution of, 139 Laplace t ransform s olution of, 394 Differentiation table, 49 Digital communication, 332 Digital filters, 541, 567, 716, 729 advantages of, 567 nonrecursive, 574n, 756 recursive, 574n, 729 Digital signals, 58 Dirichlet conditions, 195, 240 D iscrete Fourier t ransform ( DFT), 217, 340, 643 p roperties of, 347, 643 Discrete-time Fourier series ( DTFS), 617 Discrete-time Fourier t ransform ( DTFT), 6 27 properties of, 633 Discrete-time signal, 57, 617 Discrete-time sinusoid, 546 highest r ate o f o scillation of, 555 nonuniqueness of, 550 peCUliarities of, 547 periodicity condition in, 548 reduced frequency of, 551 Discrete-time systems, 87, 573, 668...
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