Title :
Two excursions into the quartic domain
Author :
O´Neill, J.C. ; Flandrin, Patrick
Author_Institution :
Ecole Normale Superieure de Lyon, France
Abstract :
We derive two quartic functions of the signal that provide results that are not obtainable with quadratic functions. The first is a shift covariant time-frequency distribution that perfectly localizes quadratic chirps, and the second is a shift covariant distribution of time and chirp-rate. These distributions provide very interesting results for single component signals, but have complications for multi-component signals
Keywords :
function evaluation; signal processing; statistical analysis; time-frequency analysis; chirp-rate; multi-component signals; quadratic chirps; quartic domain; quartic functions; shift covariant time-frequency distribution; single component signals; time-chirp distribution; Chirp; Equations; Polynomials; Signal analysis; Taylor series; Time frequency analysis;
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.1998.721425
