Time-frequency analysis
Brings together the basic ideas and methods that have been developed to study natural and man-made signals whose frequency content changes with time. This work also covers time analysis, frequency analysis, and scale analysis; time-bandwidth relations; instantaneous frequency; densities and local quantities; and the short time Fourier Transform.
Print Book, English, ©1995
Prentice Hall PTR, Englewood Cliffs, N.J, ©1995
xv, 299 pages : illustrations ; 25 cm.
9780135945322, 0135945321
31516509
The time and frequency description of signals
Instantaneous frequency and the complex signal
The uncertainty principle
Densities and characteristic functions
The need for time-frequency analysis
Time-frequency distributions: fundamental ideas
The short-time Fourier transform
The Wigner distribution
General approach and the kernel method
Characteristic function operator method
Kernel design for reduced interference
Some distributions
Further developments
Positive distributions satisfying the marginals
The representation of signals
Density of a single variable
Joint representations for arbitrary variables
Scale
Joint scale representations