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

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Unformatted text preview: Gauss, Karl Friedrich, 3 Generalized function, 71 G ibbs p henomenon, 205, 765 Gibbs, Willard, 204, 205 Half-wave (rotational) symmetry, 1 99,230 H amming window, 304, 305, 766, 769 H anning (Von H ann) window, 304 H armonic frequency, 189 Heaviside, Oliver, 379 Homogeneity property, 79 H ybrid ( sampled-data) systems, 697 Ideal filters, 270, I mpulse function, 69 sampling (sifting) p roperty of, 71 I mpulse invariance m ethod, 734 Impulse response, 115, 120, 137, 263, 390, 583, 587 Impulse response matrix, 810 Information transmission r ate, 158 I nitial c onditions, 78, I ll, 1 42,392, 574, 688 I nitial c ondition generators, 400 I nitial s tate, 785 I nitial value theorem, 410, 685 I nput, 77 I nstantaneous frequency, 290 I nstantaneous (memoriless) systems, 84 I ntegral control, 447 I ntegration t able 48 Interpolation, 323, 561 first-order hold, 324, 358 i deal,324 847 s imple (zero-order hold), 323, 358 Inverse discrete Fourier transform, 341 Inverse Fourier transform, 238 Inverse Laplace transform, 364 Inverse z-transform, 661, 669 I terative s olution o f difference equation, 574 Lag c ompensator i n control systems, 447 Laplace, Marquis Pierre-Simon, 379 Laplace transform, 361 abscissa o f convergence of, 369 bilateral, 361, 449 existence of, 369 frequency-convolution p roperty of, 388 frequency-shifting p roperty of, 385 inverse, 364, 371 linearity p roperty of, 365 physical i nterpretation of, 365 region o f convergence, 366, 367, 451 scaling p roperty of, 388 Table of, 372 t ime c onvolution p roperty of, 388 t ime d ifferentiation p roperty of, 385 t ime i ntegration p roperty of, 387 t ime s hifting p roperty of, 382 unilateral, 367 Lead c ompensator i n c ontrol systems, 446 Leakage, 303, 340 Left h alf p lane ( LHP), 74 Legendre polynomials, 187, 232 L 'Hopital's rule, 46 Linear system, 79 Log magnitude, 478 Lower sidebands, 278 Linear time-invariant system, 83 L umped-parameter s ystem, 8 7 M aclaurin series, 46 Marginally s table s ystem, 148, 396, 603 M atrix, 34 algebra of, 36 c haracteristic e quation of, 43, 804 d erivative a nd i ntegral of, 41 eigenvalues of, 42, 803 identity, 35 848 impulse response, 810 nonsingular, 40 s tate t ransition, 807 Maximally flat response, 506, 534 Mean-squared error, 53 Memoriless system, 84 Michelson, Albert, 205 Modified z-transform, 703 M odulation, 260, 277, 289 Multiplexing frequency-division, 262, 301 time-division, 331 N atural frequencies, 107 N arrowband angle modulation, 297 Natural response, 139, 140, 597, 598 Noncausal system, 84 approximate realization of, 86 Nonrecursive filter, 730, 761, 771 Normal form equations, 787 Null function, 368n Numerical c omputation o f F ourier coefficients, 216 Nyquist interval, 321 Nyquist plot, 491 Nyquist r ate o f sampling, 321 Observability, 93, 818, 830 O dd function, 75 O perational amplifier, 406, 422 Operators, advance, 577 differential, 89 Orthogonal signal set, 183 Orthogonal vector set, 183 Orthogonality, in complex signals, 175 Orthogonality in real sign...
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