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The past decade has witnessed the rapid development of a new mathematical tool, called wavlet analysis, for analyzing complex signals. It has begin to play a serious role in applications ranging from communications to geophysics, and from simulations to image processing. Like Fourier analysis (of which it is a generalization), or musical notation, wavelet analysis provides a method for representing a set of complex phenomena in a simpler, more compact, and thus more efficient manner. This text introduces the ideas and methods of wavelet analysis, relates them to previously known methods in mathematics and engineering, and shows how to apply wavelet analysis to digital signal processing. It begins by describing the multiscale (sometimes called "fractal") nature of information in many aspects of thereal world; it then turns to the algebra and analysis of wavelet matrices, scaling and wavelet functions, and the corresponding analysis of square-integrable functins on a space. The discussion then turns from the continuous to the discrete and shows how a properly selected set of wavelets can be used to represent -- and even differentiate -- a wide range of signls efficiently and effectively. The last part of the book presents a wide variety of applications of wavelets to probllems in data compression and telecommunications.
In today's world, only the smartest survive. The competitive landscape is littered with graves of well-known firms whose revenues, profits and stock prices rose for decades until they suddenly imploded. In fast-changing business environments, firms must adapt their strategies and innovate to remain at the top. But many successful firms fail to do so. Instead, they succumb to inertia, hesitate, or stick blindly to their old strategies, until it is too late. The ability to adapt to change is a measure of intelligence; so why do firms demonstrate such low Strategic IQ? What causes inertia and why is it so deadly? How can leaders help their firms to act more intelligently?This book identifies the key sources of inertia - strategic, structural and huma - and provides practical advice on how they can be overcome to create smarter corporations. It is both a wake-up call for successful firms and a lifeline for firms struggling to succeed. To successful firms - beware You may already be dead To struggling firms - have hope It is possible to pass powerful competitors by raising your strategic, structural and human IQ. Praise for Strategic IQ ""Hard-hitting and stimulating, Wells' thesis carries a robust message that should make business leaders the world over sit up and think." "Archie Norman, Chairman of ITV, UK " "Wells makes a compelling case for dramatic change."" Ron Sargent, CEO of Staples, USA
This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.
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