LEADER 04838nam 2200697 450 001 9910820918403321 005 20230807221020.0 010 $a1-119-11311-3 010 $a1-119-04607-6 010 $a1-119-04608-4 035 $a(CKB)3710000000444123 035 $a(EBL)2090103 035 $a(SSID)ssj0001530509 035 $a(PQKBManifestationID)12589512 035 $a(PQKBTitleCode)TC0001530509 035 $a(PQKBWorkID)11532005 035 $a(PQKB)11593145 035 $a(PQKBManifestationID)16049246 035 $a(PQKB)24167324 035 $a(MiAaPQ)EBC4040762 035 $a(MiAaPQ)EBC2090103 035 $a(DLC) 2015030464 035 $a(Au-PeEL)EBL4040762 035 $a(CaPaEBR)ebr11113850 035 $a(CaONFJC)MIL812252 035 $a(OCoLC)915775227 035 $a(EXLCZ)993710000000444123 100 $a20151104h20152015 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDiscrete wavelet transform $ea signal processing approach /$fD. Sundararajan 210 1$aHoboken, New Jersey :$cWiley,$d2015. 210 4$dİ2015 215 $a1 online resource (340 p.) 300 $aDescription based upon print version of record. 311 $a1-119-04606-8 320 $aIncludes bibliographical references and index. 327 $aCover; Title Page; Copyright; Contents; Preface; List of Abbreviations; Chapter 1 Introduction; 1.1 The Organization of This Book; Chapter 2 Signals; 2.1 Signal Classifications; 2.1.1 Periodic and Aperiodic Signals; 2.1.2 Even and Odd Signals; 2.1.3 Energy Signals; 2.1.4 Causal and Noncausal Signals; 2.2 Basic Signals; 2.2.1 Unit-Impulse Signal; 2.2.2 Unit-Step Signal; 2.2.3 The Sinusoid; 2.3 The Sampling Theorem and the Aliasing Effect; 2.4 Signal Operations; 2.4.1 Time Shifting; 2.4.2 Time Reversal; 2.4.3 Time Scaling; 2.5 Summary; Exercises; Chapter 3 Convolution and Correlation 327 $a3.1 Convolution 3.1.1 The Linear Convolution; 3.1.2 Properties of Convolution; 3.1.3 The Periodic Convolution; 3.1.4 The Border Problem; 3.1.5 Convolution in the DWT; 3.2 Correlation; 3.2.1 The Linear Correlation; 3.2.2 Correlation and Fourier Analysis; 3.2.3 Correlation in the DWT; 3.3 Summary; Exercises; Chapter 4 Fourier Analysis of Discrete Signals; 4.1 Transform Analysis; 4.2 The Discrete Fourier Transform; 4.2.1 Parseval's Theorem; 4.3 The Discrete-Time Fourier Transform; 4.3.1 Convolution; 4.3.2 Convolution in the DWT; 4.3.3 Correlation; 4.3.4 Correlation in the DWT 327 $a4.3.5 Time Expansion 4.3.6 Sampling Theorem; 4.3.7 Parseval's Theorem; 4.4 Approximation of the DTFT; 4.5 The Fourier Transform; 4.6 Summary; Exercises; Chapter 5 The z-Transform; 5.1 The z-Transform; 5.2 Properties of the z-Transform; 5.2.1 Linearity; 5.2.2 Time Shift of a Sequence; 5.2.3 Convolution; 5.3 Summary; Exercises; Chapter 6 Finite Impulse Response Filters; 6.1 Characterization; 6.1.1 Ideal Lowpass Filters; 6.1.2 Ideal Highpass Filters; 6.1.3 Ideal Bandpass Filters; 6.2 Linear Phase Response; 6.2.1 Even-Symmetric FIR Filters with Odd Number of Coefficients 327 $a6.2.2 Even-Symmetric FIR Filters with Even Number of Coefficients 6.3 Summary; Exercises; Chapter 7 Multirate Digital Signal Processing; 7.1 Decimation; 7.1.1 Downsampling in the Frequency-Domain; 7.1.2 Downsampling Followed by Filtering; 7.2 Interpolation; 7.2.1 Upsampling in the Frequency-Domain; 7.2.2 Filtering Followed by Upsampling; 7.3 Two-Channel Filter Bank; 7.3.1 Perfect Reconstruction Conditions; 7.4 Polyphase Form of the Two-Channel Filter Bank; 7.4.1 Decimation; 7.4.2 Interpolation; 7.4.3 Polyphase Form of the Filter Bank; 7.5 Summary; Exercises 327 $aChapter 8 The Haar Discrete Wavelet Transform 8.1 Introduction; 8.1.1 Signal Representation; 8.1.2 The Wavelet Transform Concept; 8.1.3 Fourier and Wavelet Transform Analyses; 8.1.4 Time-Frequency Domain; 8.2 The Haar Discrete Wavelet Transform; 8.2.1 The Haar DWT and the 2-Point DFT; 8.2.2 The Haar Transform Matrix; 8.3 The Time-Frequency Plane; 8.4 Wavelets from the Filter Coefficients; 8.4.1 Two Scale Relations; 8.5 The 2-D Haar Discrete Wavelet Transform; 8.6 Discontinuity Detection; 8.7 Summary; Exercises; Chapter 9 Orthogonal Filter Banks; 9.1 Haar Filter; 9.2 Daubechies Filter 327 $a9.3 Orthogonality Conditions 606 $aWavelets (Mathematics) 606 $aSignal processing 606 $aGeometric tomography 615 0$aWavelets (Mathematics) 615 0$aSignal processing. 615 0$aGeometric tomography. 676 $a515/.2433 700 $aSundararajan$b D.$0909958 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820918403321 996 $aDiscrete wavelet transform$93924311 997 $aUNINA