Introduction to Time-frequency and Wavelet Transforms

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9780130303608: Introduction to Time-frequency and Wavelet Transforms

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The practical, heuristic introduction to time-frequency and wavelet analysis.

  • Heuristic approach focuses on numerical implementation and real-world applications
  • Presents algorithms found in NI's Signal Processing Toolset and other commercial software
  • Gabor expansions, linear time-variant filters, and key wavelet transform concepts
  • Bilinear time-frequency representation
  • Combining time-frequency and wavelet decomposition

In Introduction to Time-Frequency and Wavelet Transforms, Shie Qian takes a heuristic approach to time-frequency and wavelet analysis, drawing upon the engineer's intuition—not abstract equations. Qian presents the essence of the subject: the information needed to identify applications, choose approaches, and apply time-frequency and wavelet analysis successfully.

Each chapter starts with introductory background, moves to theoretical derivation, and concludes with practical numerical implementation. All algorithms can be found in commercial software, such as the Signal Processing Toolset from National Instruments, and all examples are available for download at NI's Web site. The book presents multiple real-world applications collected from NI's customers—many published here for the first time. Coverage includes:

  • Discrete, period discrete, and orthogonal-like Gabor expansions
  • Short-time Fourier transforms
  • Fast algorithms for computing dual functions
  • Linear time-variant filters
  • Fundamental wavelet transform concepts
  • Bilinear time-frequency representations, including Wigner-Ville distribution and decomposition
  • Cohen's Class and other time-dependent power spectra
  • Combining time-frequency and time-scale (wavelet) decomposition

If you've wanted to utilize time-frequency and wavelet analysis, but you've been deterred by highly mathematical treatments, Introduction to Time-Frequency and Wavelet Transforms is the accessible, practical guide you've been searching for.

About the Author:

SHIE QIAN is the leading DSP researcher at National Instruments. He has been working on the theory and applications of time-frequency and wavelet analysis for over ten years, in applications including rotating machinery, communications, radar, seismology, and biomedicine. He was a co-guest editor of IEEE Signal Processing magazine's special issue on Time-Frequency Analysis and is a lead author of Joint Time-Frequency Analysis (Prentice Hall). He holds eight patents.

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