Chemometrics: From Basics to Wavelet Transform

Not rated yet

Chemometrics: From Basics to Wavelet Transform provides a one-stop resource for comprehending the range of available chemometric methods, from baisic principles to the theory and practice of wavelet transform. Covering the background of chemometrics, common signal processing techniques, and applications in analytical chemistry.

  • £142.00
In stock (1 item available)
  • Payment


  • Shipping

    We deliver worldwide but with the current Coronavirus situation, many countries have implemented special measures to combat the spread of Coronavirus COVID-19, especially at the borders.  This is constantly changing. Delivery times outside of the United Kingdom may take longer than the average time quoted below. 

Customer reviews
There are no comments yet. Be the first to leave a comment
Please sign in to add review

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 compares wavelets with other techniques that provide similar capabilities. It uses examples illustrated in MATLAB codes to assist chemists in developing applications, and includes access to a supplementary Web site providing code and data sets for work examples. 

Wavelet Transformations and Their Applications in Chemistry will prove essential to professionals and students working in analytical chemistry and process chemistry, as well as physical chemistry, spectroscopy, and statistics.



  • 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 Software.


  • 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.
  • Discrete Fourier Transformation and Spectral Multiplex Advantage
  • Fast Fourier Transformation.
  • Fourier Transformation as Applied to Smooth Analytical Signals.
  • 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.


  • 3.1. General Features of Two–Dimensional Data.
  • 3.2. Some Basic Concepts for Two–Dimensional Data from Hyphenated Instrumentation.
  • 3.2.1. 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.
  • Evolving Factor Analysis (EFA).
  • Window Factor Analysis (WFA).
  • Heuristic Evolving Latent Projections (HELP).


  • 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.
  • 4.3.3. Finite Discrete Signal Handling with Wavelet Transform.
  • 4.3.4. Packet Wavelet Transform.
  • 4.4. Biorthogonal Wavelet Transform.
  • 4.4.1. Multiresolution Signal Decomposition of Biorthogonal Wavelet.
  • 4.4.2. Biorthogonal Spline Wavelets.
  • 4.4.3. A Computing Example.
  • 4.5. Two–Dimensional Wavelet Transform.
  • 4.5.1. Multidimensional Wavelet Analysis.
  • 4.5.2. Implementation of Two–Dimensional Wavelet Transform.


  • 5.1. Data Compression.
  • 5.1.1. Principle and Algorithm.
  • 5.1.2. Data Compression Using Wavelet Packet Transform.
  • 5.1.3. Best–Basis Selection and Criteria for Coefficient Selection.
  • 5.2. Data Denoising and Smoothing.
  • 5.2.1. Denoising.
  • 5.2.2. Smoothing.
  • 5.2.3. Denoising and Smoothing Using Wavelet Packet Transform.
  • 5.2.4. Comparison between Wavelet Transform and Conventional Methods.
  • 5.3. Baseline/Background Removal.
  • 5.3.1. Principle and Algorithm.
  • 5.3.2. Background Removal.
  • 5.3.3. Baseline Correction.
  • 5.3.4. Background Removal Using Continuous Wavelet Transform.
  • 5.3.5. Background Removal of Two–Dimensional Signals.
  • 5.4. Resolution Enhancement.
  • 5.4.1. Numerical Differentiation Using Discrete Wavelet Transform.
  • 5.4.2. Numerical Differentiation Using Continuous Wavelet Transform.
  • 5.4.3. Comparison between Wavelet Transform and other Numerical Differentiation Methods.
  • 5.4.4. Resolution Enhancement.
  • 5.4.5. Resolution Enhancement by Using Wavelet Packet Transform.
  • 5.4.6. Comparison between Wavelet Transform and Fast Fourier Transform for Resolution
  • 5.4.7. Enhancement.
  • 5.5. Combined Techniques.
  • 5.5.1. Combined Method for Regression and Calibration.
  • 5.5.2. Combined Method for Classification and Pattern Recognition.
  • 5.5.3. Combined Method of Wavelet Transform and Chemical Factor Analysis.
  • 5.5.4. Wavelet Neural Network.
  • 5.6. An Overview of the Applications in Chemistry.
  • 5.6.1. Flow Injection Analysis.
  • 5.6.2. Chromatography and Capillary Electrophoresis.
  • 5.6.3. Spectroscopy.
  • 5.6.4. Electrochemistry.
  • 5.6.5. Mass Spectrometry.
  • 5.6.6. Chemical Physics and Quantum Chemistry.
  • 5.6.7. Conclusion.


  • A.1. Elementary Knowledge in Linear Algebra.
  • A.1.1. Vectors and Matrices in Analytical Chemistry.
  • A.1.2. Column and Row Vectors.
  • A.1.3. Addition and Subtraction of Vectors.
  • A.1.4. Vector Direction and Length.
  • A.1.5. Scalar Multiplication of Vectors.
  • A.1.6. Inner and Outer Products between Vectors.
  • A.1.7. The Matrix and Its Operations.
  • A.1.8. Matrix Addition and Subtraction.
  • A.1.9. Matrix Multiplication.
  • A.1.10. Zero Matrix and Identity Matrix.
  • A.1.11. Transpose of a Matrix.
  • A.1.12. Determinant of a Matrix.
  • A.1.13. Inverse of a Matrix.
  • A.1.14. Orthogonal Matrix.
  • A.1.15. Trace of a Square Matrix.
  • A.1.16. Rank of a Matrix.
  • A.1.17. Eigenvalues and Eigenvectors of a Matrix.
  • A.1.18. Singular–Value Decomposition.
  • A.1.19. Generalized Inverse.
  • A.1.20. Derivative of a Matrix.
  • A.1.21. Derivative of a Function with Vector as Variable.
  • A.2. Elementary Knowledge of MATLAB.
  • A.2.1. Matrix Construction.
  • A.2.2. Matrix Manipulation.
  • A.2.3. Basic Mathematical Functions.
  • A.2.4. Methods for Generating Vectors and Matrices.
  • A.2.5. Matrix Subscript System.
  • A.2.6. Matrix Decomposition.
  • A.2.6.1. Singular–Value Decomposition (SVD).
  • A.2.6.2. Eigenvalues and Eigenvectors (eig).
  • A.2.7. Graphic Functions 288


Foo-tim Chau is a Professor in the Department of Applied Biology and Chemical Technology at Hong Kong Polytechnic University.

Yi-Zeng Liang is a Professor in the College of Chemistry and Chemical Engineering at Central South University, China

Junbin Gao is a Professor in the Department of Mathematics at Huazhong University of Science and Technology. 

Xue-Guang Shao is a Professor at eh University of Science and Technology in China

    • Weight
      600 g
    • SKU
  • Authors
    Foo-Tim Chau, Yi-Zeng Liang, Junbin Gao, Xue-Guang Shao
  • Binding
  • Pages
  • Weight (g)
  • ISBN-13
  • ISBN-10

We accept the following cards through Paypal:

  • Visa / Delta / Electron
  • MasterCard / Eurocard
  • Maestro
  • American Express

Debit cards (also known as bank cards) are accepted if they have a Visa or MasterCard logo


Coronavirus pandemic
There are likely to be some delays in despatch and postage at present. If you have special requirements including courier delivery, please contact us via 

EU Customers
If you are a consumer (rather than a business), then you are responsible for paying any duty that your country may charge on books imported from the UK. The shipping company will contact you to collect this duty or tax before delivery; they may charge a handling fee. All of these charges, duties and taxes are beyond the control of IM Publications Open.

International orders are shipped from the United Kingdom (UK) on a tracked service Orders shipped within the UK are sent on a 1st Class service but a special delivery option is available. Most books are in stock and will be sent on the same day if orders are received before 3pm (UK time).

Delivery times quoted are an average, and cannot be guaranteed.

United Kingdom 1st Class: 1–2 days. (Special Delivery available)

Western Europe**:  International Tracked: 6–10 days.

(** Includes Austria, Belgium, Denmark, France, Germany, Greece, Iceland, Irish Republic, Italy, Luxembourg, Netherlands, Portugal, Spain, Sweden and Switzerland).

Europe + Rest of World: International Tracked: 10–15 days.

Heavy Orders
Our maximum weight for standard shipping is 5 kg. If you find that you cannot choose a shipping option or particularly want courier delivery, please contact us via