Chemometrics : from basics to wavelet transform / Foo-tim Chau ... [et al.].

Format:

Book

Contributor:

Chau, Foo-tim.

Series:

Chemical analysis ; v. 164.

Chemical analysis ; v. 164

Language:

English

Subjects (All):

Instrumental analysis--Data processing.

Instrumental analysis.

Instrumental analysis--Automation.

Wavelets (Mathematics).

Physical Description:

1 online resource (332 p.)

Edition:

1st ed.

Place of Publication:

Hoboken, N.J. : J. Wiley, c2004.

Language Note:

English

Summary:

Wavelet Transformations and Their Applications in Chemistry pioneers a new approach to classifying existing chemometric techniques for data analysis in one and two dimensions, using a practical applications approach to illustrating chemical examples and problems. Written in a simple, balanced, applications-based style, the book is geared to both theorists and non-mathematicians.This text emphasizes practical applications in chemistry. It employs straightforward language and examples to show the power of wavelet transforms without overwhelming mathematics, reviews other methods, and compare

Contents:

Chemometrics; CONTENTS; PREFACE; CHAPTER 1 INTRODUCTION; 1.1. Modern Analytical Chemistry; 1.1.1. Developments in Modern Chemistry; 1.1.2. Modern Analytical Chemistry; 1.1.3. Multidimensional Dataset; 1.2. Chemometrics; 1.2.1. Introduction to Chemometrics; 1.2.2. Instrumental Response and Data Processing; 1.2.3. White, Black, and Gray Systems; 1.3. Chemometrics-Based Signal Processing Techniques; 1.3.1. Common Methods for Processing Chemical Data; 1.3.2. Wavelets in Chemistry; 1.4. Resources Available on Chemometrics and Wavelet Transform; 1.4.1. Books; 1.4.2. Online Resources

1.4.3. Mathematics SoftwareCHAPTER 2 ONE-DIMENSIONAL SIGNAL PROCESSING TECHNIQUES IN CHEMISTRY; 2.1. Digital Smoothing and Filtering Methods; 2.1.1. Moving-Window Average Smoothing Method; 2.1.2. Savitsky-Golay Filter; 2.1.3. Kalman Filtering; 2.1.4. Spline Smoothing; 2.2. Transformation Methods of Analytical Signals; 2.2.1. Physical Meaning of the Convolution Algorithm; 2.2.2. Multichannel Advantage in Spectroscopy and Hadamard Transformation; 2.2.3. Fourier Transformation; 2.2.3.1. Discrete Fourier Transformation and Spectral Multiplex Advantage; 2.2.3.2. Fast Fourier Transformation

2.2.3.3. Fourier Transformation as Applied to Smooth Analytical Signals2.2.3.4. Fourier Transformation as Applied to Convolution and Deconvolution; 2.3. Numerical Differentiation; 2.3.1. Simple Difference Method; 2.3.2. Moving-Window Polynomial Least-Squares Fitting Method; 2.4. Data Compression; 2.4.1. Data Compression Based on B-Spline Curve Fitting; 2.4.2. Data Compression Based on Fourier Transformation; 2.4.3. Data Compression Based on Principal-Component Analysis; CHAPTER 3 TWO-DIMENSIONAL SIGNAL PROCESSING TECHNIQUES IN CHEMISTRY; 3.1. General Features of Two-Dimensional Data

3.2. Some Basic Concepts for Two-Dimensional Data from Hyphenated Instrumentation3.2.1. Chemical Rank and Principal-Component Analysis (PCA); 3.2.2. Zero-Component Regions and Estimation of Noise Level and Background; 3.3. Double-Centering Technique for Background Correction; 3.4. Congruence Analysis and Least-Squares Fitting; 3.5. Differentiation Methods for Two-Dimensional Data; 3.6 Resolution Methods for Two-Dimensional Data; 3.6.1. Local Principal-Component Analysis and Rankmap; 3.6.2. Self-Modeling Curve Resolution and Evolving Resolution Methods; 3.6.2.1. Evolving Factor Analysis (EFA)

3.6.2.2. Window Factor Analysis (WFA)3.6.2.3. Heuristic Evolving Latent Projections (HELP); CHAPTER 4 FUNDAMENTALS OF WAVELET TRANSFORM; 4.1. Introduction to Wavelet Transform and Wavelet Packet Transform; 4.1.1. A Simple Example: Haar Wavelet; 4.1.2. Multiresolution Signal Decomposition; 4.1.3. Basic Properties of Wavelet Function; 4.2. Wavelet Function Examples; 4.2.1. Meyer Wavelet; 4.2.2. B-Spline (Battle-Lemarié) Wavelets; 4.2.3. Daubechies Wavelets; 4.2.4. Coiflet Functions; 4.3. Fast Wavelet Algorithm and Packet Algorithm; 4.3.1. Fast Wavelet Transform

4.3.2. Inverse Fast Wavelet Transform

Notes:

"Wiley-Interscience publication."

Includes bibliographical references and index.

ISBN:

9786610365753

9781280365751

1280365757

9780470234679

0470234679

9780471454731

0471454737

9780471454748

0471454745

OCLC:

85819891