04134nam 22007215 450 991030010670332120200702163243.0981-13-0268-5978-981-13-0268-810.1007/978-981-13-0268-8(CKB)4100000004836270(DE-He213)978-981-13-0268-8(MiAaPQ)EBC5434744(PPN)229492339(EXLCZ)99410000000483627020180621d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierWavelet Packets and Their Statistical Applications /by Khalil Ahmad, Abdullah1st ed. 2018.Singapore :Springer Singapore :Imprint: Springer,2018.1 online resource (XVII, 238 p. 70 illus., 36 illus. in color.) Forum for Interdisciplinary Mathematics,2364-6748981-13-0267-7 Chapter 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.This 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.Forum for Interdisciplinary Mathematics,2364-6748Functional analysisNumerical analysisApplied mathematicsEngineering mathematicsStatistics Signal processingImage processingSpeech processing systemsFunctional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/S17020Signal, Image and Speech Processinghttps://scigraph.springernature.com/ontologies/product-market-codes/T24051Functional analysis.Numerical analysis.Applied mathematics.Engineering mathematics.Statistics .Signal processing.Image processing.Speech processing systems.Functional Analysis.Numerical Analysis.Applications of Mathematics.Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.Signal, Image and Speech Processing.515.7Ahmad Khalilauthttp://id.loc.gov/vocabulary/relators/aut422484Abdullahauthttp://id.loc.gov/vocabulary/relators/autBOOK9910300106703321Wavelet Packets and Their Statistical Applications2047136UNINA