Paper: | SPTM-P6.9 |
Session: | Non-stationary Signals and Time-Frequency Analysis |
Time: | Wednesday, May 17, 16:30 - 18:30 |
Presentation: |
Poster
|
Topic: |
Signal Processing Theory and Methods: Non-stationary Signals and Time-Frequency Analysis |
Title: |
Estimation of Instantaneous Frequency and Instantaneous Bandwidth via Adaptive Signal Decomposition |
Authors: |
Sedigheh Ghofrani, Des McLernon, University of Leeds, United Kingdom; Ahmad Ayatollahi, Iran University of Science and Technology, Iran |
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. |