LEADER 04134nam 22007215 450 001 9910300106703321 005 20200702163243.0 010 $a981-13-0268-5 010 $a978-981-13-0268-8 024 7 $a10.1007/978-981-13-0268-8 035 $a(CKB)4100000004836270 035 $a(DE-He213)978-981-13-0268-8 035 $a(MiAaPQ)EBC5434744 035 $a(PPN)229492339 035 $a(EXLCZ)994100000004836270 100 $a20180621d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aWavelet Packets and Their Statistical Applications /$fby Khalil Ahmad, Abdullah 205 $a1st ed. 2018. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018. 215 $a1 online resource (XVII, 238 p. 70 illus., 36 illus. in color.) 225 1 $aForum for Interdisciplinary Mathematics,$x2364-6748 311 $a981-13-0267-7 327 $aChapter 1. Preliminaries -- Chapter 2. Wavelet Packets -- Chapter 3. Convergence of Wavelet Packet Series -- Chapter 4. Function Spaces and Wavelet Packets -- Chapter 5. Applications in Signal Processing -- Chapter 6. Applications in Image Processing. 330 $aThis book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds. Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising. 410 0$aForum for Interdisciplinary Mathematics,$x2364-6748 606 $aFunctional analysis 606 $aNumerical analysis 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aStatistics  606 $aSignal processing 606 $aImage processing 606 $aSpeech processing systems 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/S17020 606 $aSignal, Image and Speech Processing$3https://scigraph.springernature.com/ontologies/product-market-codes/T24051 615 0$aFunctional analysis. 615 0$aNumerical analysis. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aStatistics . 615 0$aSignal processing. 615 0$aImage processing. 615 0$aSpeech processing systems. 615 14$aFunctional Analysis. 615 24$aNumerical Analysis. 615 24$aApplications of Mathematics. 615 24$aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 615 24$aSignal, Image and Speech Processing. 676 $a515.7 700 $aAhmad$b Khalil$4aut$4http://id.loc.gov/vocabulary/relators/aut$0422484 702 $aAbdullah$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300106703321 996 $aWavelet Packets and Their Statistical Applications$92047136 997 $aUNINA