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1 Bibliography Introduction to Signal Processing, Instrumentation, and Control Downloaded from Introductory dynamical systems Ogata, K. (2004). System dynamics, 4 th ed., Prentice Hall. Rowell, D. and D. N. Wormley (1997). System dynamics an introduction, Prentice Hall. Signals and systems Bracewell, R. N. (1986). The Fourier transform and its applications, 2 nd ed., McGraw-Hill. McGillem, C. D. and G. R. Cooper (1991). Continuous and discrete signal and system analysis, 3 rd ed., Oxford University Press. Oppenheim, A. V., and A. S. Willsky, with H. Nawab (1997). Signals and systems, 2 nd ed., Prentice Hall. Palamides, A. and A. Veloni (2011). Signals and systems laboratory with MATLAB, Taylor & Francis. Poularikas, A. D. and S. Seely (1994). Signals and systems, 2 nd ed., Krieger. Ziemer, R. E., W. H. Tranter and D. R. Fannin (1998). Signals and systems: continuous and discrete, 4 th ed., Prentice Hall. Instrumentation Blackburn, J. A. (2001). Modern instrumentation for scientists and engineers. Springer-Verlag. Nachtigal, C. L., ed. (1990). Instrumentation and control: fundamentals and applications. Wiley. Electronics Horowitz, P. and W. Hill (2015). The art of electronics, 3 rd ed., Cambridge University Press. Storey, N. (2009). Electronics a systems approach, 4 th ed., Prentice Hall. Vibrations Dimarogonas, A. and S. Haddad (1992). Vibration for engineers. Prentice Hall. Inman, D. (2013). Engineering vibration, 4 th ed., Prentice-Hall. Meirovitch, L. (1997). Principles and techniques of vibrations. Prentice Hall. Signal processing and digital filter design Ambardar, A. (1999). Analog and digital signal processing, 2nd ed., Brooks/Cole. Ambardar, A. (2006). Digital signal processing: a modern introduction, Cengage. Mitra, S. K. (2011). Digital signal processing: a computer-based approach, 4 th ed., McGraw-Hill. Oppenheim, A. V. and R. W. Schaffer (2009). Discrete-time signal processing, 3 rd ed., Prentice Hall. Proakis, J. G. and D. K. Manolakis (2006). Digital signal processing: principles, algorithms, and applications, 4 th ed., Prentice Hall. Rabiner, L R. and B. Gold (1975). Theory and application of digital signal processing. Prentice Hall. Window functions Prabhu K. M. M. (2013). Window functions and their applications in signal processing, CRC Press. Spectral estimation Kay, S. M. (1988). Modern spectral estimation, Prentice Hall. Analog filter design Williams, A. (2013). Analog filter and circuit design handbook, McGraw-Hill 747

2 748 Bibliography Introduction to Signal Processing, Instrumentation, and Control Downloaded from Control systems Åström, K. J. and R. M. Murray (2015). Feedback systems: an introduction for scientists and engineers, 2 nd ed., Princeton University Press, Franklin, G. F., J. D. Powell, and A. Emami-Naein (2014). Feedback control of dynamical systems, 7 th ed., Prentice Hall. Ogata, K. (2009). Modern control engineering, 5 th ed.. Prentice Hall. Dynamical systems with system integration Cochin, I. and W. Cadwallender (1997). Analysis and design of dynamical systems, 3 rd ed., Addison-Wesley, Kelly, S. G. (2007). Systems dynamics and response. Thomson. Lobontiu, N. (2010). System dynamics for engineering students: concepts and applications, Academic Press. Natarajan, V. (2012). Rejection of periodic disturbances in uncertain nonlinearly perturbed stable infinite dimensional systems, Ph.D. thesis, Department of Mechanical Science and Eng., Univ. of Illinois at Urbana-Champaign, 133p. Mathematical references Abramovitz, M. and I. A. Stegun (1964). Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards, 10 th printing: Gradshtein, L. S., and I. M. Ryzhik (1980). Table of integrals, series, and products, Academic Press. Korn, G. A. and T. M. Korn (1964). Mathematical handbook. McGraw-Hill.

3 Index Introduction to Signal Processing, Instrumentation, and Control Downloaded from accelerometer, 693 actuator saturation, 616 aliasing, 207 almost periodic, 103 amplitude, 109 analog angular frequency, 102 analog frequency, 102 autocorrelation continuous time, 474 discrete time, 476 bandlimit, 213 bandlimiting, 304 bandwidth, 372 basic control action PI (Proportional + Integral), 570 self-operated, 568 two-position (on-off), 569 basis vectors, 269 BIBO stable, 661 BIBO unstable, 661 bidirectional, 172 bilinear transformation, 445 black box identification, 250 blocking zero, 151 bode plot, 156 break frequency, 371 breakout, 4 brushless DC motor, 696 buffer, 173 butterworth filter polynomial factorization, 414 unity DC gain filter form, 414 casting speed, 3 causal system, 659 causality anti-causal, 47 causal, 47 non-causal, 47 Chain rule, 651 classic filter transfer functions, 413 close-loop transfer function input-output, 558 commensurable, 103 Common mode gain, 188 Common mode rejection ratio (CMMR), 189 common mode voltage, 186, 189 complex conjugate, 217 compression, 55 continuous casting, 1 continuous time system, 654 control method of testbed, 11 controller, 553 conversion analog-to-digital, 213 convolution, 477, 676 continuous time, 360 discrete time, 361 corner frequency, 160 correlation, 477 coupling, 172 AC coupling, 176 cross-correlation continuous time, 474 discrete time, 476 cross-coupling, 172 CT ideal filter magnitude response, 366 CT PSD approximation, 501 CT real filter, 369 CT sinusoidal signal, 101 cycle, 102 cyclic calculation, 487 DC motor, 696 decimation,

4 750 Index decoupling, 173 delta-function definition, 67 shifting property, 67 symmetry property, 69 time-scaling property, 69 derivative gain, 570 derivative time, 570 detecting sinusoids in CT noisy data using DFT (FFT), 500 deterministic system, 662 digital frequency, 205 digital frequency bounds, 210 digital period, 205 digital PSD, or DT PSD, 499 discrete (exponential) Fourier series coefficients, 229 Discrete Fourier Series, 345 Discrete Fourier Series (DFS), 279 discrete Fourier series representation, 229 discrete Fourier transform, 303 Discrete Fourier Transform, 345 discrete frequency response spectra, 114 discrete PSD, 494 discrete real spectra, 111 discrete spectra, 226 discrete time Fourier transform (DTFT), 348 discrete time system, 654 discrete time system response, 362 disturbance, 140 disturbance rejection, 556 dot, 269 doublet, 148 DT periodic autocorrelation, 500 DT real filter, 375 dynamic system, 655 eigenfunction, 219 eigenvalue, 219 encoder, 691 energy (spectral) density, 371 energy signal, 78 energy spectral density, 471 ergodicity assumption, 47 error actual output error, 564 Euler s Identity, 649 Euler-Bernoulli Beam Model, 697 exact system, 662 exponential form, 216 exponential Fourier series, 273 exponential Fourier series coefficients, 228 exponential Fourier series representation, 227 exponential signal, 669 extensometer, 690 Fast Fourier Transform (FFT), 310, 312 feedback path, 556 filters band-pass filter, 427 band-stop filter, 428 high-pass filter, 427 Final value theorem, 682 Final Value Theorem, 565, 573 finite impulse response (FIR), 149 finite impulse response (FIR) filter, 296 FIR approach, 344 folding, 211 folding frequency, 212 folding of signals, 59 forward path, 556 Fourier analysis, 248 Fourier reconstruction, 254 Fourier Series, 345 Fourier series coefficie, 273 Fourier Series coefficients, 666 Fourier Series for a periodic signal, 665 Fourier Transform, 345 Fourier Transform (FT), 675 frequency, 102 frequency response, 114, 341 function support compact support, 51 noncompact support, 51 fundamental frequency, 109 fundamental period, 102, 109 fuzzy system, 662 Gibbs phenomenon, 81 grey box identification, 250 half-plane closed half-plane, 151 open half-plane, 151 half-wave rectified sine, 668 Hamilton s principle, 698 hardware testbed, 9 harmonic frequency, 110 harmonic number, 110 harmonics, 110 Hooke s law, 699 hydraulics, 696 ideal sampling, 70

5 image separation, 260 impulse response, 69 impulse train, 666 infinite impulse response (IIR), 148 infinite impulse response (IIR) filter, 296 Initial value theorem, 682 inner, 269 integrablity absolutely integrable, 51 square-integrable, 51 integral gain, 570 integral time, 570 Integration by parts, 650 internal model principle, 597 internal model principle (IMP) controller, 597 interpolation Linear interpolation, 56 zero interpolation, 56 ztep interpolation, 56 inverse Fourier transform, 492 inverse Fourier Transform, 676 k th real harmonic, 110 lack of commutativity, 169 Laplace transform, 681 leakage output voltage, 188 linear system, 658 linear time invariant (LTI) system, 131 Linear Variable Differential Transformer (LVDT), 688 load cell, 694 loading, 170 low-pass filtering, 177 magnetic sensor, 689 magnetostriction, 203 magnitude, 216 magnitude (spectral) density, 370, 371 magnitude and phase form, 274 mass-spring-two-dampers (MS2D), 133 maximum overshoot, 573 measurement noise, 140 mold oscillation system, 3 moving average (MA) filter, 150 multiresolution, 21 multiscale. See multiresolution negative strip time, 3 noncausal system, 659 nonlinear system, 658 norm, 269 normal mode gain, 187 normal mode signal, 187 Index 751 notch filter, 429 Nyquist rate, 213 Nyquist-Shannon-Kotelnikov sampling theorem, 213 orthogonal, 271 orthonormal, 272 orthonormal basis, 272 oscillation marks, 4 output error, 555 oversampling, 256 parametric system models linear constant coefficient ODE, 338 Parseval s relationship, 282 Parseval s Theorem, 282, 677 partial fraction expansion, 683 passive component, 166 performance measure, 555 period, 46, 102 periodic autocorrelation, 485 periodic convolution, 365 periodic correlation, 484 periodic crosscorrelation, 485 periodic extension, 80 periodicity nonperiodic, 46 periodic, 46 ph sensor, 694 phase, 216 phase lag, 108 phase lead, 108 phase shift, 108 photoelectric sensor, 689 plant, 553 pneumatics, 696 pointwise, 291 polar form, 216, 274 poles, 439 pole-zero map, 150 position tracking, 555 potentiometer (Pot), 185 power signal, 78 power spectral density (PSD), 480 prewarping, 447 principal range, 211 projection, 270 scalar projection, 270 vector projection, 271 proportional gain, 569 proximity sensor, 688 Psycho-acoustic revolution, 295

6 752 Index quadratic mean. See signal RMS randomness stochastic, 47 randomness deterministic signal, 46 real sampling, 71 region of convergence, 681 regularity regular signals, 48 singular signals, 49 resonance frequency and peak beam system., 163 MS2D system, 162 MSD system, 161 second order system with 2 zeroes at the origin, 162 response shaping, 563 robust, 24 robustness, 556 RST structure, 603 RTD (resistance temperature detector), 688 sampling sampling frequency. See sampling rate sampling interval, 204 sampling rate, 204 sampling time interval, 44 sawtooth signal, 666 scalar product, 269 scale composition multiscale (multiresolution), 46 single-scale (single-resolution), 46 scaling factor direct scaling factor, 55 inverse scaling factor, 55 sensor, 553 settling time, 573 shifting of signals, 53 signal energy, 76 signal power, 76 signal processing, 43 signal root mean square (RMS), 76 signal speed, 290 sine-sweep, 343 sinusoid magnitude, 109 phase, 108 sums of sinusoids, 103 Size preservation of CT signals, 62 Software testbed Beam model, 13 Hydraulic servo model, 14 Numerical model, 16 spectral leakage, 306 spectral window, 292 Stability Criterion, 440 state variable, 135 state-variable realization, 429 static system, 655 stationary non-stationary signal, 47 stationary signal, 47 steady state error, 585 stepper motor, 696 sticker, 4 stochastic system, 662 strain Gauge, 185 strand, 3 stretching, 56 summability absolutely summable, 51 square-summable, 51 superposition, 658 symmetry odd signal, 45 symmetry even signal, 45 system definition, 653 system identification using cross-correlation, 513 using noise excitation, 512 using PSD, 509 tachometer generator, 693 techno-social revolution, 295 template, 208 time invariant system, 656 time varying system, 656 time-scaling of signals, 54 Timoshenko Beam Model, 703 triangular pulse train, 667 trigonometric form, 275 Trigonometric Identities, 649 Tustin s rule, 443 two-sided Fourier Transform, 361 type of signal analog signal, 43 continuous-time (CT ) signal, 43 digital signal, 45 discrete time (DT) signal, 44

7 Index 753 quantized signal, 44 sampled signal, 44 undersampling, 256 unidirectional, 172 unit circle, 217 vector space, 269 Vertical sinusoidal oscillation, 3 warping effect, 446 white noise, 490 windowing, 292 spectral windowing, 294 time-domain windowing, 294 wraparound, 488 zeros, 439 Ziegler-Nichols PID tuning rules, 614 Z-transform, 437

Theory and Problems of Signals and Systems

SCHAUM'S OUTLINES OF Theory and Problems of Signals and Systems HWEI P. HSU is Professor of Electrical Engineering at Fairleigh Dickinson University. He received his B.S. from National Taiwan University