Title :
Estimation of Instantaneous Frequency and Instantaneous Bandwidth via Adaptive Signal Decomposition
Author :
Ghofrani, S. ; McLernnon, D.C. ; Ayatollahi, A.
Author_Institution :
Dept. of Electr. Eng., Islamic Azad Univ., Tehran
Abstract :
In this work, we derive general formulae for the instantaneous frequency (IF) and instantaneous bandwidth (IB) according to matching pursuit (MP) signal decomposition, irrespective of the kind of dictionary used. We show that via MP decomposition, the IF is now exactly the weighted average IF of the decomposed signal and that it is also always real-valued. In addition, the IB is always positive for all dictionaries with Gaussian envelopes and arbitrary polynomial phase
Keywords :
Gaussian processes; adaptive signal processing; bandwidth allocation; frequency estimation; polynomials; Gaussian envelopes; adaptive signal decomposition; arbitrary polynomial phase; instantaneous bandwidth estimation; instantaneous frequency estimation; matching pursuit; Bandwidth; Desktop publishing; Dictionaries; Frequency estimation; Matching pursuit algorithms; Polynomials; Signal analysis; Signal resolution; Tellurium; Time frequency analysis;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Conference_Location :
Toulouse
Print_ISBN :
1-4244-0469-X
DOI :
10.1109/ICASSP.2006.1660696
