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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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 621.38223 C678 (Browse shelf(Opens below)) Available C26237
Books ISI Library, Kolkata 621.380432 C678 (Browse shelf(Opens below)) Withdrawn 115542
Total holds: 0

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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