LEADER 05762nam 2200733 a 450 001 9910831191503321 005 20210209155238.0 010 $a1-280-84773-5 010 $a9786610847730 010 $a0-470-61206-1 010 $a0-470-39469-2 010 $a1-84704-595-2 035 $a(CKB)1000000000335545 035 $a(EBL)700748 035 $a(SSID)ssj0000139071 035 $a(PQKBManifestationID)11154877 035 $a(PQKBTitleCode)TC0000139071 035 $a(PQKBWorkID)10105598 035 $a(PQKB)11400732 035 $a(MiAaPQ)EBC700748 035 $a(MiAaPQ)EBC261988 035 $a(Au-PeEL)EBL261988 035 $a(OCoLC)501313820 035 $a(CaSebORM)9781905209453 035 $a(EXLCZ)991000000000335545 100 $a20060627d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDigital filters design for signal and image processing$b[electronic resource] /$fedited by Mohamed Najim 205 $a1st edition 210 $aNewport Beach, CA $cISTE Ltd.$dc2006 215 $a1 online resource (387 p.) 225 1 $aDigital signal and image processing series 300 $aDescription based upon print version of record. 311 $a1-905209-45-2 320 $aIncludes bibliographical references and index. 327 $aDigital Filters Design for Signal and Image Processing; Table of Contents; Introduction; Chapter 1. Introduction to Signals and Systems; 1.1. Introduction; 1.2. Signals: categories, representations and characterizations; 1.2.1. Definition of continuous-time and discrete-time signals; 1.2.2. Deterministic and random signals; 1.2.3. Periodic signals; 1.2.4. Mean, energy and power; 1.2.5. Autocorrelation function; 1.3. Systems; 1.4. Properties of discrete-time systems; 1.4.1. Invariant linear systems; 1.4.2. Impulse responses and convolution products; 1.4.3. Causality 327 $a1.4.4. Interconnections of discrete-time systems1.5. Bibliography; Chapter 2. Discrete System Analysis; 2.1. Introduction; 2.2. The z-transform; 2.2.1. Representations and summaries; 2.2.2. Properties of the z-transform; 2.2.2.1. Linearity; 2.2.2.2. Advanced and delayed operators; 2.2.2.3. Convolution; 2.2.2.4. Changing the z-scale; 2.2.2.5. Contrasted signal development; 2.2.2.6. Derivation of the z-transform; 2.2.2.7. The sum theorem; 2.2.2.8. The final-value theorem; 2.2.2.9. Complex conjugation; 2.2.2.10. Parseval's theorem; 2.2.3. Table of standard transform; 2.3. The inverse z-transform 327 $a2.3.1. Introduction2.3.2. Methods of determining inverse z-transforms; 2.3.2.1. Cauchy's theorem: a case of complex variables; 2.3.2.2. Development in rational fractions; 2.3.2.3. Development by algebraic division of polynomials; 2.4. Transfer functions and difference equations; 2.4.1. The transfer function of a continuous system; 2.4.2. Transfer functions of discrete systems; 2.5. Z-transforms of the autocorrelation and intercorrelation functions; 2.6. Stability; 2.6.1. Bounded input, bounded output (BIBO) stability; 2.6.2. Regions of convergence; 2.6.2.1. Routh's criterion 327 $a2.6.2.2. Jury's criterionChapter 3. Frequential Characterization of Signals and Filters; 3.1. Introduction; 3.2. The Fourier transform of continuous signals; 3.2.1. Summary of the Fourier series decomposition of continuous signals; 3.2.1.1. Decomposition of finite energy signals using an orthonormal base; 3.2.1.2. Fourier series development of periodic signals; 3.2.2. Fourier transforms and continuous signals; 3.2.2.1. Representations; 3.2.2.2. Properties; 3.2.2.3. The duality theorem; 3.2.2.4. The quick method of calculating the Fourier transform; 3.2.2.5. The Wiener-Khintchine theorem 327 $a3.2.2.6. The Fourier transform of a Dirac comb3.2.2.7. Another method of calculating the Fourier series development of a periodic signal; 3.2.2.8. The Fourier series development and the Fourier transform; 3.2.2.9. Applying the Fourier transform: Shannon's sampling theorem; 3.3. The discrete Fourier transform (DFT); 3.3.1. Expressing the Fourier transform of a discrete sequence; 3.3.2. Relations between the Laplace and Fourier z-transforms; 3.3.3. The inverse Fourier transform; 3.3.4. The discrete Fourier transform; 3.4. The fast Fourier transform (FFT) 327 $a3.5. The fast Fourier transform for a time/frequency/energy representation of a non-stationary signal 330 $aDealing with digital filtering methods for 1-D and 2-D signals, this book provides the theoretical background in signal processing, covering topics such as the z-transform, Shannon sampling theorem and fast Fourier transform. An entire chapter is devoted to the design of time-continuous filters which provides a useful preliminary step for analog-to-digital filter conversion.Attention is also given to the main methods of designing finite impulse response (FIR) and infinite impulse response (IIR) filters. Bi-dimensional digital filtering (image filtering) is investigated and a study on stabi 410 0$aDigital signal and image processing series. 606 $aElectric filters, Digital 606 $aSignal processing$xDigital techniques 606 $aImage processing$xDigital techniques 615 0$aElectric filters, Digital. 615 0$aSignal processing$xDigital techniques. 615 0$aImage processing$xDigital techniques. 676 $a600 676 $a621.3822 700 $aNajim$b Mohamed$0856048 701 $aNajim$b Mohamed$0856048 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910831191503321 996 $aDigital filters design for signal and image processing$92154808 997 $aUNINA