Lv's distribution for time-frequency analysis

Authors:
Shan Luo;Xiaolei Lv;Guoan Bi
Affiliations:
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore;School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore;School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore
Venue:
CSCS '11 Proceedings of the 2nd international conference on Circuits, systems, control, signals
Year:
2011

Citing 7
Cited 1

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Lv's Distribution: Principle, Implementation, Properties, and Performance

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Abstract

A frequency-chirp rate (FCR) distribution, known as Lv's distribution (LVD), is introduced in this paper. The LVD can directly represents the information of centroid frequency and chirp rate of a linear frequency modulated (LFM) signal without using any searching process. It is able to suppress interference to represent clearly the signal peak in the FCR plane. Comparing to polynomial Fourier transform (PFT) and fractional Fourier transform (FrFT), the LVD has better performance on FCR resolution and energy concentration. Based on LVD, a new method of time-frequency transform named inverse LVD (ILVD) is also introduced to obtain a time-frequency representation (TFR). Simulation results show that the ILVD has better energy distribution concentration than the Wigner-Ville distribution (WVD) and local polynomial time-frequency transform (LPTFT).