{"product_id":"fundamentals-of-wavelets-theory-algorithms-and-applications-hardback-9780470484135","title":"Fundamentals of Wavelets; Theory, Algorithms, and Applications (Hardback) 9780470484135","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFundamentals of Wavelets\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eTheory, Algorithms, and Applications\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJaideva C. Goswami (Author), Andrew K. Chan (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470484135, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 21 January 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e382 pages\u003cbr\u003e24.1 x 16.4 x 2.6 cm, 0.717 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"This book provides a thorough treatment of wavelet theory and is very convenient for graduate students and researchers in electrical engineering, physics, and applied mathematics.\" (Zentralblatt MATH, 2011)  \u003cp\u003e \u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMost existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of:  \u003cul\u003e \u003cli\u003ea section on \"Other Wavelets\" that describes curvelets, ridgelets, lifting wavelets, etc \u003c\/li\u003e \u003cli\u003ea section on lifting algorithms \u003c\/li\u003e \u003cli\u003eSections on Edge Detection and Geophysical Applications \u003c\/li\u003e \u003cli\u003eSection on Multiresolution Time Domain Method (MRTD) and on Inverse problems \u003c\/li\u003e \u003c\/ul\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1.What is this book all about?  \u003cp\u003e2. Mathematical Preliminary.\u003c\/p\u003e \u003cp\u003e2.1 Linear Spaces.\u003c\/p\u003e \u003cp\u003e2.2 Vectors and Vector Spaces.\u003c\/p\u003e \u003cp\u003e2.3 Basis Functions, Orthogonality and Biothogonality.\u003c\/p\u003e \u003cp\u003e2.4 Local Basis and Riesz Basis.\u003c\/p\u003e \u003cp\u003e2.5 Discrete Linear Normed Space.\u003c\/p\u003e \u003cp\u003e2.6 Approximation by Orthogonal Projection.\u003c\/p\u003e \u003cp\u003e2.7 Matrix Algebra and Linear Transformation.\u003c\/p\u003e \u003cp\u003e2.8 Digital Signals.\u003c\/p\u003e \u003cp\u003e2.9 Exercises.\u003c\/p\u003e \u003cp\u003e2.10 References.\u003c\/p\u003e \u003cp\u003e3. Fourier Analysis.\u003c\/p\u003e \u003cp\u003e3.1 Fourier Series.\u003c\/p\u003e \u003cp\u003e3.2 Rectified Sine Wave.\u003c\/p\u003e \u003cp\u003e3.3 Fourier Transform.\u003c\/p\u003e \u003cp\u003e3.4 Properties of Fourier Transform.\u003c\/p\u003e \u003cp\u003e3.5 Examples of Fourier Transform.\u003c\/p\u003e \u003cp\u003e3.6 Poisson’s Sum and Partition of ZUnity.\u003c\/p\u003e \u003cp\u003e3.7 Sampling Theorem.\u003c\/p\u003e \u003cp\u003e3.8 Partial Sum and Gibb’s Phenomenon.\u003c\/p\u003e \u003cp\u003e3.9 Fourier Analysis of Discrete-Time Signals.\u003c\/p\u003e \u003cp\u003e3.10 Discrete Fourier Transform (DFT).\u003c\/p\u003e \u003cp\u003e3.11 Exercise.\u003c\/p\u003e \u003cp\u003e3.12 References.\u003c\/p\u003e \u003cp\u003e4. Time-Frequency Analysis.\u003c\/p\u003e \u003cp\u003e4.1 Window Function.\u003c\/p\u003e \u003cp\u003e4.2 Short-Time Fourier Transform.\u003c\/p\u003e \u003cp\u003e4.3 Discrete Short-Time Fourier Transform.\u003c\/p\u003e \u003cp\u003e4.4 Discrete Gabor Representation.\u003c\/p\u003e \u003cp\u003e4.5 Continuous Wavelet Transform.\u003c\/p\u003e \u003cp\u003e4.6 Discrete Wavelet Transform.\u003c\/p\u003e \u003cp\u003e4.7 Wavelet Series.\u003c\/p\u003e \u003cp\u003e4.8 Interpretations of the Time-Frequency Plot.\u003c\/p\u003e \u003cp\u003e4.9 Wigner-Ville Distribution.\u003c\/p\u003e \u003cp\u003e4.10 Properties of Wigner-Ville Distribution.\u003c\/p\u003e \u003cp\u003e4.11 Quadratic Superposition Principle.\u003c\/p\u003e \u003cp\u003e4.12 Ambiguity Function.\u003c\/p\u003e \u003cp\u003e4.13 Exercise.\u003c\/p\u003e \u003cp\u003e4.14 Computer Programs.\u003c\/p\u003e \u003cp\u003e4.15 References.\u003c\/p\u003e \u003cp\u003e5. Multiresolution Anaylsis.\u003c\/p\u003e \u003cp\u003e5.1 Multiresolution Spaces.\u003c\/p\u003e \u003cp\u003e5.2 Orthogonal, Biothogonal, and Semiorthogonal Decomposition.\u003c\/p\u003e \u003cp\u003e5.3 Two-Scale Relations.\u003c\/p\u003e \u003cp\u003e5.4 Decomposition Relation.\u003c\/p\u003e \u003cp\u003e5.5 Spline Functions and Properties.\u003c\/p\u003e \u003cp\u003e5.6 Mapping a Function into MRA Space.\u003c\/p\u003e \u003cp\u003e5.7 Exercise.\u003c\/p\u003e \u003cp\u003e5.8 Computer Programs.\u003c\/p\u003e \u003cp\u003e5.9 References.\u003c\/p\u003e \u003cp\u003e6. Construction of Wavelets.\u003c\/p\u003e \u003cp\u003e6.1 Necessary Ingredients for Wavelet Construction.\u003c\/p\u003e \u003cp\u003e6.2 Construction of Semiorthogonal Spline Wavelets.\u003c\/p\u003e \u003cp\u003e6.3 Construction of Orthonormal Wavelets.\u003c\/p\u003e \u003cp\u003e6.4 Orthonormal Scaling Functions.\u003c\/p\u003e \u003cp\u003e6.5 Construction of Biothogonal Wavelets.\u003c\/p\u003e \u003cp\u003e6.6 Graphical Display of Wavelet.\u003c\/p\u003e \u003cp\u003e6.7 Exercise.\u003c\/p\u003e \u003cp\u003e6.8 Computer Programs.\u003c\/p\u003e \u003cp\u003e6.9 References.\u003c\/p\u003e \u003cp\u003e7. DWT and Filter Bank Algorithms.\u003c\/p\u003e \u003cp\u003e7.1 Decimation and Interpolation.\u003c\/p\u003e \u003cp\u003e7.2 Signal Representation in the Approximation Subspace.\u003c\/p\u003e \u003cp\u003e7.3 Wavelet Decomposition Algorithm.\u003c\/p\u003e \u003cp\u003e7.4 Reconstruction Algorithm.\u003c\/p\u003e \u003cp\u003e7.5 Change of Bases.\u003c\/p\u003e \u003cp\u003e7.6 Signal Reconstruction in Semiorthogonal Subspaces.\u003c\/p\u003e \u003cp\u003e7.7 Examples.\u003c\/p\u003e \u003cp\u003e7.8 Two-Channel Perfect Reconstruction Filter Bank.\u003c\/p\u003e \u003cp\u003e7.9 Polyphase Representation for Filter Banks.\u003c\/p\u003e \u003cp\u003e7.10 Comments on DWT and PR Filter Banks.\u003c\/p\u003e \u003cp\u003e7.11 Exercise.\u003c\/p\u003e \u003cp\u003e7.12 Computer Program.\u003c\/p\u003e \u003cp\u003e7.13 References.\u003c\/p\u003e \u003cp\u003e8. Special Topics in Wavelets and Algorithms.\u003c\/p\u003e \u003cp\u003e8.1 Fast Integral Wavelet Transform.\u003c\/p\u003e \u003cp\u003e8.2 Ridgelet Transform.\u003c\/p\u003e \u003cp\u003e8.3 Curvelet Transform.\u003c\/p\u003e \u003cp\u003e8.4 Complex Wavelets.\u003c\/p\u003e \u003cp\u003e8.5 Lifting Wavelet transform.\u003c\/p\u003e \u003cp\u003e8.6 References.\u003c\/p\u003e \u003cp\u003e9. Digital Signal Processing Applications.\u003c\/p\u003e \u003cp\u003e9.1 Wavelet Packet.\u003c\/p\u003e \u003cp\u003e9.2 Wavelet-Packet Algorithms.\u003c\/p\u003e \u003cp\u003e9.3 Thresholding.\u003c\/p\u003e \u003cp\u003e9.4 Interference Suppression.\u003c\/p\u003e \u003cp\u003e9.5 Faulty Bearing Signature Identification.\u003c\/p\u003e \u003cp\u003e9.6 Two-Dimensional Wavelets and Wavelet Packets.\u003c\/p\u003e \u003cp\u003e9.7 Edge Detection.\u003c\/p\u003e \u003cp\u003e9.8 Image Compression.\u003c\/p\u003e \u003cp\u003e9.9 Microcalcification Cluster Detection. \u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52276303233304,"sku":"9780470484135","price":106.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780470484135.jpg?v=1781366450","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fundamentals-of-wavelets-theory-algorithms-and-applications-hardback-9780470484135","provider":"Freshly Printed Books","version":"1.0","type":"link"}