Refining accuracy of the spectral lines estimation by a sparsity based approach

Author

Florescu, Anisia ; Ciochina, Silviu

Author_Institution

Telecommun., Politeh. Univ. of Bucharest, Bucharest, Romania

fYear

2012

fDate

21-23 June 2012

Firstpage

47

Lastpage

50

Abstract

The paper addresses a classical problem of spectral analysis, that of high accuracy estimation of line-spectra, based on zero-padded Discrete Fourier Transform (DFT), transposed in the modern approach of sparse vectors estimation. Based on the analysis of the specific dictionary, some conclusions are drawn concerning the possibility to obtain high accuracy and resolution, by using a limited temporal analysis window. The issue of uniqueness is discussed. Two algorithms are presented, based on Matching Pursuit (MP) and Orthogonal Matching Pursuit (OMP).

Keywords

discrete Fourier transforms; sparse matrices; spectral analysis; time-frequency analysis; vectors; DFT; MP; OMP; high accuracy estimation; matching pursuit; orthogonal matching pursuit; sparse vectors estimation; sparsity based approach; spectral analysis; spectral lines estimation; temporal analysis window; zero-padded discrete fourier transform; Accuracy; Dictionaries; Discrete Fourier transforms; Estimation; Frequency estimation; Matching pursuit algorithms; Vectors; Matching pursuit; Sparse Vector Estimation; Spectral Lines Estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications (COMM), 2012 9th International Conference on

Conference_Location

Bucharest

Print_ISBN

978-1-4577-0057-6

Type

conf

DOI

10.1109/ICComm.2012.6262551

Filename

6262551