Cramer-Rao lower bounds for atomic decomposition

Author

O´Neill, Jeffrey C. ; Flandrin, Patrick

Author_Institution

Boston Univ., MA, USA

Volume

3

fYear

1999

fDate

15-19 Mar 1999

Firstpage

1581

Abstract

In a previous paper we presented a method for atomic decomposition with chirped, Gabor functions based on maximum likelihood estimation. In this paper we present the Cramer-Rao lower bounds for estimating the seven chirp parameters, and the results of a simulation showing that our sub-optimal, but computationally tractable, estimators perform well in comparison to the bound at low signal-to-noise ratios. We also show that methods based on signal dictionaries will require much higher computations to perform well in low signal-to-noise ratios

Keywords

functional analysis; maximum likelihood estimation; signal processing; Cramer-Rao lower bounds; SNR; atomic decomposition; chirped Gabor functions; computationally tractable estimators; low signal-to-noise ratios; maximum likelihood estimation; signal dictionaries; simulation; sub-optimal estimators; Chirp; Computational modeling; Dictionaries; Equations; Frequency estimation; Gaussian noise; Maximum likelihood estimation; Parameter estimation; Signal to noise ratio; Spectrogram;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on

Conference_Location

Phoenix, AZ

ISSN

1520-6149

Print_ISBN

0-7803-5041-3

Type

conf

DOI

10.1109/ICASSP.1999.756289

Filename

756289