Underpinnings of wavelet transforms and their applications. Mathematical investigations, as a computational. Ripples in Mathematics: The. The word for the bit stream 0 is Mississippi. Ripples in Mathematics: The Discrete Wavelet Transform: A. Jensen, Anders la. The computational environment for examples and implementation of transforms.

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Jensen Editor: Springer Science & Business Media ISBN: Size: 19,92 MB Format: PDF, ePub, Docs Read: 984 This introduction to the discrete wavelet transform and its applications is based on a novel approach to discrete wavelets called lifting. After an elementary introduction, connections of filter theory are presented, and wavelet packet transforms are defined. The time-frequency plane is used for interpretation of signals, problems with finite length signals are detailed, and MATLAB is used for examples and implementation of transforms. Author: Patrick J. Van Fleet Editor: John Wiley & Sons ISBN: Size: 20,79 MB Format: PDF, Kindle Read: 174 An 'applications first' approach to discrete wavelettransformations Discrete Wavelet Transformations provides readers with a broadelementary introduction to discrete wavelet transformations andtheir applications. With extensive graphical displays, thisself-contained book integrates concepts from calculus and linearalgebra into the construction of wavelet transformations and theirvarious applications, including data compression, edge detection inimages, and signal and image denoising.

The book begins with a cursory look at wavelet transformationdevelopment and illustrates its allure in digital signal and imageapplications. Next, a chapter on digital image basics, quantitativeand qualitative measures, and Huffman coding equips readers withthe tools necessary to develop a comprehensive understanding of theapplications. Subsequent chapters discuss the Fourier series,convolution, and filtering, as well as the Haar wavelet transformto introduce image compression and image edge detection. Thedevelopment of Daubechies filtersis presented in addition tocoverage of wavelet shrinkage in the area of image and signaldenoising. The book concludes with the construction of biorthogonalfilters and also describes their incorporation in the JPEG2000image compression standard. The author's 'applications first' approach promotes a hands-ontreatment of wavelet transforma-tion construction, and over 400exercises are presented in a multi-part format that guide readersthrough the solution to each problem.

Over sixty computer labs andsoftware development projects provide opportunities for readers towrite modules and experiment with the ideas discussed throughoutthe text. The author's software package, DiscreteWavelets, is usedto perform various imaging and audio tasks, compute wavelettransformations and inverses, and visualize the output of thecomputations. Supplementary material is also available via thebook's related Web site, which includes an audio and videorepository, final project modules, and softwarefor reproducingexamples from the book. All software, including theDiscreteWavelets package, is available for use withMathematica®, MATLAB®, and Maple.

Discrete Wavelet Transformations strongly reinforces the use ofmathematics in digital data applications, sharpens programmingskills, and provides a foundation for further study of moreadvanced topics, such as real analysis. This book is ideal forcourses on discrete wavelet transforms and their applications atthe undergraduate level and also serves as an excellent referencefor mathematicians, engineers, and scientists who wish to learnabout discrete wavelet transforms at an elementary level.

Author: Douglas E. Adams Editor: Wiley ISBN: Size: 13,43 MB Format: PDF, ePub Read: 314 The first complete introduction to health monitoring, encapsulating both technical information and practical case studies spanning the breadth of the subject. Written by a highly-respected figure in structural health monitoring, this book provides readers with the technical skills and practical understanding required to solve new problems encountered in the emerging field of health monitoring.

The book presents a suite of methods and applications in loads identification (usage monitoring), in-situ damage identification (diagnostics), and damage and performance prediction (prognostics). Concepts in modelling, measurements, and data analysis are applied through real-world case studies to identify loading, assess damage, and predict the performance of structural components, as well as examine engine components, automotive accessories, aircraft parts, spacecraft components, civil structures and defence system components. Author: Ajay V. Deshmukh Editor: ISBN: Size: 16,85 MB Format: PDF, ePub, Mobi Read: 378 Fundamental concepts, and some glimpses of the state-of-the-art of Magnetic Resonance Imaging (MRI) and functional MRI (fMRI) are discussed in this monograph. A discussion on novel transform methods using Wavelets and the Periodicity Transform for processing the clinical fMRI data is included. The book describes results on the original functional MRI data set. This trial fMRI dataset is provided on a CD included in this book.