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  • © 2013

Multiscale Signal Analysis and Modeling

  • Discusses recently developed signal modeling techniques, such as the multiscale method for complex time series modeling, multiscale positive density estimations, Bayesian Shrinkage Strategies, and algorithms for data adaptive statistics

  • Introduces new sampling algorithms for multidimensional signal processing

  • Provides comprehensive coverage of wavelets with presentations on waveform design and modeling, wavelet analysis of ECG signals and wavelet filters

  • Reviews features extraction and classification algorithms for multiscale signal and image processing using Local Discriminant Basis (LDB)

  • Develops multi-parameter regularized extrapolating estimators in statistical learning theory

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xvii
  2. Sampling

    1. Front Matter

      Pages 1-1
    2. Improved Approximation via Use of Transformations

      • Frank Stenger, Maha Youssef, Jenny Niebsch
      Pages 25-49
    3. Generalized Sampling in \({L}^{2}({\mathbb{R}}^{d})\)Shift-Invariant Subspaces with Multiple Stable Generators

      • H. R. Fernández-Morales, A. G. García, G. Pérez-Villalón
      Pages 51-80
    4. Function Spaces for Sampling Expansions

      • M. Zuhair Nashed, Qiyu Sun
      Pages 81-104
    5. Coprime Sampling and Arrays in One and Multiple Dimensions

      • P. P. Vaidyanathan, Piya Pal
      Pages 105-137
    6. Representation Formulas for Hardy Space Functions Through the Cuntz Relations and New Interpolation Problems

      • Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz, Itzik Marziano
      Pages 161-182
  3. Multiscale Analysis

    1. Front Matter

      Pages 209-209
    2. On the Application of the SDLE to the Analysis of Complex Time Series

      • Jianbo Gao, Jing Hu, Wen-wen Tung
      Pages 211-231
    3. Wavelet Analysis of ECG Signals

      • En-Bing Lin, Megan Haske, Marilyn Smith, Darren Sowards
      Pages 233-255
    4. Multiscale Signal Processing with Discrete Hermite Functions

      • Dale H. Mugler, Anandi Mahadevan
      Pages 257-274
    5. Earth Mover’s Distance-Based Local Discriminant Basis

      • Bradley Marchand, Naoki Saito
      Pages 275-294
  4. Statistical Analysis

    1. Front Matter

      Pages 295-295
    2. Bayesian Wavelet Shrinkage Strategies: A Review

      • Norbert Reményi, Brani Vidakovic
      Pages 317-346
    3. Multiparameter Regularization for Construction of Extrapolating Estimators in Statistical Learning Theory

      • Shuai Lu, Sergiy Pereverzyev Jr., Sivananthan Sampath
      Pages 347-366
  5. Back Matter

    Pages 367-378

About this book

Multiscale Signal Analysis and Modeling presents recent advances in multiscale analysis and modeling using wavelets and other systems. This book also presents applications in digital signal processing using sampling theory and techniques from various function spaces, filter design, feature extraction and classification, signal and image representation/transmission, coding, nonparametric statistical signal processing, and statistical learning theory.

Editors and Affiliations

  • , Department of Mathematics, Ohio University, Athens, USA

    Xiaoping Shen

  • , Department of Mathematical Sciences, DePaul University, Chicago, USA

    Ahmed I. Zayed

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access