Journal
IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 65, Issue 10, Pages 2701-2713Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2017.2669899
Keywords
Time-frequency distribution; piece-wise LFM; multi-directional kernel; quadratic TFDs; compact kernel distribution (CKD); compact kernel; ambiguity domain; cross-term reduction
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Funding
- QNRF [NPRP 4-1303-2-517, NPRP 6-680-2-282, NPRP 6-885-2-364]
- ARC
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This paper presents a new advanced methodology for designing high resolution time-frequency distributions (TFDs) of multicomponent nonstationary signals that can be approximated using piece-wise linear frequency modulated (PW-LFM) signals. Most previous kernel design methods assumed that signals autoterms are mostly centered around the origin of the (nu, tau) ambiguity domain while signal cross-terms are mostly away from the origin. This study uses a multicomponent test signal for which each component is modeled as a PW-LFM signal; it finds that the above assumption is a very rough approximation of the location of the auto-terms energy and cross-terms energy in the ambiguity domain and it is only valid for signals that are well separated in the (t, f) domain. A refined investigation led to improved specifications for separating cross-terms from auto-terms in the (nu, tau) ambiguity domain. The resulting approach first represents the signal in the ambiguity domain, and then applies a multidirectional signal dependent compact kernel that accounts for the direction of the auto-terms energy. The resulting multidirectional distribution (MDD) approach proves to be more effective than classical methods like extended modified B distribution, S-method, or compact kernel distribution in terms of auto-terms resolution and crossterms suppression. Results on simulated and real data validate the improved performance of the MDD, showing up to 8% gain as compared to more standard state-of-the-art TFDs.
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