Wavelet packets and their statistical applications. (2018)

• Record Type: Book
• Further Information: Note: Khalil Ahmad, Abdullah.
• Authors: (Mathematician), Ahmad, Khalil; Abdullah
• Contents: Intro; Foreword; Preface; Contents; About the Authors; 1 Preliminaries; 1.1 Introduction; 1.2 Basic Concepts of Functional Analysis; 1.3 A Short Tour of Wavelet Transform; 1.3.1 Fourier Transform; 1.3.2 Wavelet Transform; 1.3.3 Continuous Wavelet Transform; 1.3.4 Discrete Wavelet Transform; 1.4 Haar Scaling Functions and Function Space; 1.4.1 Translation and Scaling of (t); 1.4.2 Orthogonality of Translates of (t); 1.4.3 Function Space V0; 1.4.4 Finer Haar Scaling Functions; 1.4.5 Nested Space; 1.4.6 Haar Wavelet Function; 1.4.7 Scaled Haar Wavelet Functions. 3.3 Convolution Bounds and Convergence of Wavelet Packet Series4 Function Spaces and Wavelet Packets; 4.1 Introduction; 4.2 Lebesgue Spaces Lp(mathbbR) and Wavelet Packets; 4.3 Hardy Space calH1(mathbbR) and Wavelet Packets; 4.4 Sobolev Spaces Lp, s (mathbbR) and Wavelet Packets; 5 Applications in Signal Processing; 5.1 Introduction; 5.2 Applications of Wavelets in Speech Denoising; 5.2.1 Speech Signal Processing; 5.2.2 Noise Reduction in Speech Signal Using Thresholding in Wavelet Transform Domain; 5.2.3 Estimation of Speech Signal in the Presence of White Noise Using Wavelet Transform. 5.3 Applications of Wavelet Packets in Speech Denoising5.3.1 Denoising of Speech Signal by Using Wavelet Packet Transform; 5.3.2 Selection of Optimal Decomposition Level Based on Entropy for Speech Denoising Using Wavelet Packets; 5.3.3 Thresholding Method for Denoising Speech Signal Using Wavelet Packet Transform; 5.4 Applications of Wavelets in Biomedical Signals; 5.4.1 ECG Signal Characteristics; 5.4.2 Performance Comparison of Wavelet Threshold Estimators for ECG Signal Denoising; 5.4.3 Denoising of ECG Signal Using Wavelet Transform. 5.5 Applications of Wavelet Packets in ECG Signal Denoising5.5.1 Wavelet Packet Thresholding Method for Denoising ECG Signal; 5.5.2 Baseline Drift Correction in ECG Signal Using Wavelet Packets Transform; 6 Applications in Image Processing; 6.1 Introduction; 6.2 Applications of Wavelets in Image Denoising; 6.3 Applications of Wavelet Packets in Image Denoising; References; ; Index.
• Publisher Details: Singapore : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 515/.2433; Wavelets (Mathematics); MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Wavelets (Mathematics); Mathematics; Functional Analysis; Numerical Analysis; Applications of Mathematics; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Signal, Image and Speech Processing; Electronic books
• Languages: English
• ISBNs: 9789811302688; 9811302685
• Related ISBNs: 9789811302671; 9811302677
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed June 26, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.