Description
From the realm of signal processing to the frontiers of quantum mechanics, wavelets have left an indelible mark. They have empowered us to dissect signals, compress images with remarkable efficiency, and extract meaningful insights from complex data. Their unique ability to decompose signals into different scales and frequencies has opened up new avenues for comprehending the intricacies of the world around us.
Delve into the mathematical underpinnings of wavelets, unraveling the intricacies of continuous and discrete wavelet transforms, wavelet bases, and scaling functions. Discover the power of wavelets in image compression, where they have enabled lossless and lossy compression techniques that have transformed the way we store and transmit images.
Move beyond image compression and explore the remarkable applications of wavelets in data analysis. From time series analysis to financial data analysis, wavelets have proven to be invaluable tools for uncovering hidden patterns and trends in complex datasets. Their ability to identify abrupt changes and extract local features makes them particularly well-suited for analyzing non-stationary signals and data with sharp discontinuities.
Venture into the realm of wavelet-based fractal analysis, where the intricate relationship between wavelets and fractals is unveiled. This connection has led to new insights into the nature of natural images, financial data, and biomedical signals. Wavelets have also found their way into engineering applications, where they have been successfully employed in power systems analysis, control systems, and mechanical engineering.
Journey through the chapters of this book and discover the versatility of wavelets in computer science. They have been applied in computer graphics, numerical analysis, cryptography, data mining, and machine learning. Their ability to efficiently represent complex data structures and extract meaningful features has made them indispensable tools for solving a wide range of computational problems.
Finally, explore the frontiers of wavelet applications in physics, economics, finance, biology, chemistry, and geology. Wavelets have opened up new avenues for understanding quantum mechanics, fluid dynamics, and cosmology. They have also provided powerful tools for analyzing economic data, financial markets, biological systems, chemical processes, and geological formations.
Written in a clear and engaging style, this book is accessible to readers from diverse backgrounds, whether you are a student, a researcher, or a practitioner. It will inspire you to explore the vast potential of wavelets and unlock new possibilities in your own field of endeavor.
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Language : English
Dimensions : 6 x 9 inches
Pages : 184 pages
Pasquale De Marco stands as a prolific author whose literary prowess knows no bounds. With a passion for storytelling that transcends genres, he has made a name for himself as a versatile writer with the extraordinary ability to captivate readers across diverse literary landscapes. His journey as an author is marked by an insatiable curiosity, a love for the written word, and a relentless commitment to sharing knowledge and experiences with the world.
Pasquale De Marco collaborates with a dedicated team of ghostreaders who assist him in evaluating and editing the manuscripts. His collaborators are not only skilled professionals but also avid readers who purchase and read books as a personal hobby. This unique blend of creativity allows Pasquale to push the boundaries of traditional publishing, making literature more accessible and diverse.
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