Analysis of MUSIC and ESPRIT frequency estimates for sinusoidal signals with lowpass envelopes

Author

Besson, Olivier ; Stoica, Petre

Author_Institution

Dept. of Avionics & Syst., Ecole Nat. Superieure d´´Ingenieurs de Constr. Aeronaut., Toulouse, France

Volume

44

Issue

9

fYear

1996

fDate

9/1/1996 12:00:00 AM

Firstpage

2359

Lastpage

2364

Abstract

In this correspondence, the MUSIC and ESPRIT frequency estimates of sinusoidal signals with lowpass envelopes are analyzed. To achieve computational simplicity, the frequency estimation is conducted as if the signal had a constant amplitude. The aim of the correspondence is to analyze the degradation of performance induced by the aforementioned mismodeling. Unified expressions for the bias and variances of the MUSIC and ESPRIT frequency estimators are derived under the hypothesis of small bandwidth of the signal envelope. Numerical simulations illustrate the agreement between theoretical and empirical results and study the influence of the envelope bandwidth on the frequency estimation performance

Keywords

computational complexity; frequency estimation; spectral analysis; ESPRIT; MUSIC; bias; computational simplicity; degradation; frequency estimates; lowpass envelopes; mismodeling; performance; sinusoidal signal; variances; Amplitude estimation; Bandwidth; Degradation; Frequency estimation; Multiple signal classification; Performance analysis; Radar tracking; Signal analysis; Signal processing; Speech processing;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.536697

Filename

536697