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IET Wireless Sensor Systems

Micro & Nano Letters

The Journal of Engineering

Improved higher order robust distributions based on compressive sensing reconstruction

Content Provider	IET Digital Library
Author	Orović, Irena Stanković, Srdjan
Abstract	A general form of compressive sensing (CS)-based higher order time–frequency distributions (TFDs) is proposed. Non-linear time-varying spectrum analysis requires higher order TFDs, but they cannot produce efficient result in the presence of strong noisy pulses. Consequently, the time–frequency analysis needs to be combined with the L-statistics. When applied to the higher order local auto-correlation function, the L-statistics removes all possibly corrupted samples and just a small number of samples remains for distribution calculation. In the proposed approach the discarded information can be completely recovered using CS reconstruction. Owing to the use of higher order local auto-correlation function, the signal becomes locally sparse in the transform domain. Hence, the idea is to cast all noisy samples as missing ones, then reconstruct the entire information and produce highly concentrated representation in the transform domain. The proposed CS-based distribution form provides significantly improved performance compared to the existing standard and L-estimate forms. It is proven by various experiments.
Starting Page	738
Ending Page	748
Page Count	11
ISSN	17519675
Volume Number	8
e-ISSN	17519683
Issue Number	Issue 7, Sep (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/8/7
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2013.0347
Journal	IET Signal Processing
Publisher Date	2014-04-30
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Compressed Sensing Compressive Sensing Reconstruction Correlation Method Estimation Theory Gaussian Noise Higher Order Local Autocorrelation Function Higher Order Statistics Higher Order Time-frequency Distribution Improved Higher Order Robust Distribution Impulse Noise Integral Transforms L-estimation L-statistics Mathematical Analysis Nonlinear Time-varying Spectrum Analysis Signal Processing And Detection Signal Processing Theory Signal Reconstruction Signal Representation Signal Sampling Spectral Analysis Statistics TFD Time-frequency Analysis Transform Transform Domain
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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