Title :
A new energy distribution on the time-frequency plane
Author :
Sang, Tzu-Hsien ; Williams, William J.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Abstract :
A new time-frequency distribution (TFD) is developed along the line of thinking of the concentration issue of TFDs. A new formulation is given to shed new light on this issue for the short-time Fourier transform (STFT). The new insight is then extended to more general energy density functions and a procedure is developed to construct a complex-valued function which plays a similar role as the STFT does and has a superior concentration limit. The magnitude of this new function is used as the energy density function on the T-F plane. Numerical examples, in certain cases of which the auto terms are preserved while the cross terms are virtually eliminated, justify our intuition
Keywords :
Fourier transforms; iterative methods; signal processing; time-frequency analysis; STFT; T-F plane; auto terms; complex-valued function; concentration issue; cross terms; energy density functions; energy distribution; short-time Fourier transform; time frequency plane; time-frequency plane; Degradation; Density functional theory; Equations; Fourier transforms; Postal services; Probability density function; Shape; Time frequency analysis; Uncertainty;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Pittsburgh, PA
Print_ISBN :
0-7803-5073-1
DOI :
10.1109/TFSA.1998.721423