NDLI: Time–frequency-based instantaneous frequency estimation of sparse signals from incomplete set of samples

Content Provider	IET Digital Library
Author	Orović, Irena Stanković, Srdjan Thayaparan, Thayananthan
Abstract	The estimation of time-varying instantaneous frequency (IF) for monocomponent signals with an incomplete set of samples is considered. A suitable time–frequency distribution (TFD) reduces the non-stationary signal into a local sinusoid over the lag variable prior to the Fourier transform. Accordingly, the observed spectral content becomes sparse and suitable for compressive sensing reconstruction in the case of missing samples. Although the local bilinear or higher order auto-correlation functions will increase the number of the missing samples, the analysis shows that an accurate IF estimation can be achieved even if we deal with only few samples, as long as the auto-correlation function is properly chosen to coincide with the signals phase non-linearity. In addition, by employing the sparse signal reconstruction algorithms, ideal time–frequency representations are obtained. The presented theory is illustrated on several examples dealing with different auto-correlation functions and corresponding TFDs.
Starting Page	239
Ending Page	245
Page Count	7
ISSN	17519675
Volume Number	8
e-ISSN	17519683
Issue Number	Issue 3, May (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/8/3
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2013.0354
Journal	IET Signal Processing
Publisher Date	2014-04-23
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Compressive Sensing Reconstruction Fourier Transform Fourier Transforms Higher Order Auto-correlation Function IF Estimation Integral Transforms Local Bilinear Order Auto-correlation Function Mathematical Analysis Monocomponent Signal Nonstationary Signal Signal Processing And Detection Signal Processing Theory Signal Reconstruction Signal Representation Sparse Signal Reconstruction Algorithm TFD Time-frequency Analysis Time-frequency Distribution Time-frequency Representations Time-frequency-based Instantaneous Frequency Estimation
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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