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Time-frequency analysis / Leon Cohen.

By: Material type: TextTextSeries: Prentice Hall signal processing seriesPublication details: New Jersey : Prentice Hall PTR, c1995.Description: xv, 299 p. : ill. ; 25 cmISBN:
  • 9780135945322
Subject(s): DDC classification:
  • 621.38223 23 C678
Contents:
1. The time and frequency description of signals-- 2. Instrantaneous frequency and the complex singnal-- 3. The uncertainty principle-- 4. Densities and characteristic functions-- 5. The need for time-frequency analysis-- 6. Time-frequency distributions: fundamental ideas-- 7. The short-time fourier transform-- 8. The wigner distributiojn-- 9. General approach and the Kernel method-- 10. Characteristic function operator method-- 11. Kernel design for reduced interference-- 12. Some distributions-- 13. Further developments-- 14. Positive distributions satisfying the marginals-- 15. The representation of signals-- 16. Density of a single variable-- 17. Joint representations for arbitrary variables-- 18. Scale-- 20. Joint scale representations-- Bibliography-- Index.
Summary: This book brings together—in simple language—the basic ideas and methods that have been developed to study natural and man-made signals whose frequency content changes with time—e.g., speech, sonar and radar, optical images, mechanical vibrations, acoustic signals, biological/biomedical and geophysical signals. Covers time analysis, frequency analysis, and scale analysis; time-bandwidth relations; instantaneous frequency; densities and local quantities; the short time Fourier Transform; time-frequency analysis; the Wigner representation; time-frequency representations; computation methods; the synthesis problem; spatial-spatial/frequency representations; time-scale representations; operators; general joint representations; stochastic signals; and higher order time-frequency distributions. Illustrates each concept with examples and shows how the methods have been extended to other variables, such as scale.
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Includes bibliographical references (p. 263-289) and index.

1. The time and frequency description of signals--
2. Instrantaneous frequency and the complex singnal--
3. The uncertainty principle--
4. Densities and characteristic functions--
5. The need for time-frequency analysis--
6. Time-frequency distributions: fundamental ideas--
7. The short-time fourier transform--
8. The wigner distributiojn--
9. General approach and the Kernel method--
10. Characteristic function operator method--
11. Kernel design for reduced interference--
12. Some distributions--
13. Further developments--
14. Positive distributions satisfying the marginals--
15. The representation of signals--
16. Density of a single variable--
17. Joint representations for arbitrary variables--
18. Scale--
20. Joint scale representations--

Bibliography--
Index.

This book brings together—in simple language—the basic ideas and methods that have been developed to study natural and man-made signals whose frequency content changes with time—e.g., speech, sonar and radar, optical images, mechanical vibrations, acoustic signals, biological/biomedical and geophysical signals. Covers time analysis, frequency analysis, and scale analysis; time-bandwidth relations; instantaneous frequency; densities and local quantities; the short time Fourier Transform; time-frequency analysis; the Wigner representation; time-frequency representations; computation methods; the synthesis problem; spatial-spatial/frequency representations; time-scale representations; operators; general joint representations; stochastic signals; and higher order time-frequency distributions. Illustrates each concept with examples and shows how the methods have been extended to other variables, such as scale.

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