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"This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges. The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD. The book also provides a platform for researchers to develop the HHT method further and to identify more applications."

"This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges. The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD. The book also provides a platform for researchers to develop the HHT method further and to identify more applications."

"Dekomposisi spektral telah diaplikasikan pada data seismik dalam meningkatkan resolusi, visualisasi stratigrafi, memprediksi ketebalan lapisan tipis, dan mendeteksi langsung keberadaan hidrokarbon. Pada kasus ini, Metode Empirical Mode Decomposition digunakan untuk mendekomposisi suatu sinyal utama menjadi beberapa sub-sinyal yang bervariasi, yang memiliki berbagai macam frekuensi. Beberapa sub-sinyal tersebut biasa disebut IMF (Intrinsic Mode Function). Tahap selanjutnya dilakukan Transfromasi Hilbert untuk setiap IMF.Hasil yang didapatkan dari proses Spectral Decomposition dengan metode Empirical Mode Decomposition dan Transformasi Hilbert menunjukkan kemampuan yang bagus pada data sintetik. Sedangkan pada data riil mampu membedakan respon gas dan batu bara pada anomali brigth spot dengan melalui analisis Transformasi Hilbert berdasarkan respon amplitudo sesaat.

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Spectral decomposition have been applied for seismic data to enhance resoution, improve stratigraphy visualization, thin bed prediction, and direct hydrocarbon indicator. In this case, the empirical mode decomposition method is used to decompose main signal into several variated sub-signal that have many types of frequencies. Some sub signal are usually called IMF (intrinsic mode function). Then do the Hilbert Transform to each IMF to get the time frequency section.

The result from the spectral decomposition method using empirical mode decomposition show good performance on syntethic data. While on real data can be clarified gas and coal response from the brigth spot anomaly by Hilbert-Huang transform method based on instantaneous amplitude."

"This book contains about 250 exercises that are an integral part of the text. Eachpart contains its own collection of exercises with own numeration. They are not onlyan integral part of the book, but also indispensable for the understanding of all parts whose collection is the content of this book. It can be expected that a careful readerwill complete all these exercises.This book is intended for graduate level students majoring in pure and appliedmathematics but even an advanced researcher can find here very useful informationwhich previously could only be detected in scientific articles or monographs.Each part of the book begins with its own introduction which contains the facts(mostly) from functional analysis used thereinafter. Some of them are proved while the others are not."