TY - BOOK AU - Cohen,Leon TI - Time-frequency analysis T2 - Prentice Hall signal processing series SN - 9780135945322 U1 - 621.38223 23 PY - 1995/// CY - New Jersey PB - Prentice Hall PTR KW - Signal processing KW - Time-series analysis KW - Frequency spectra N1 - 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 N2 - 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 ER -