Optimal pulse shape for estimating positions of superimposed pulses

Author

Nguyen, Thanh D. ; Reeves, Stanley J. ; Denney, Thomas S., Jr.

Author_Institution

Dept. of Electr. Eng., Auburn Univ., AL, USA

Volume

4

fYear

1998

fDate

12-15 May 1998

Firstpage

2413

Abstract

we determine the optimal pulse shape for estimating positions of superimposed pulses by deriving the Cramer-Rao lower bound (CRLB) on the average estimation error variance and optimizing it with respect to the pulse shape. Our results show that a significant improvement in estimation error variance can be achieved relative to Gaussian and rectangular pulse shapes

Keywords

error analysis; least squares approximations; matrix algebra; optimisation; parameter estimation; position measurement; signal processing; CRLB; Cramer-Rao bound matrix; Cramer-Rao lower bound; Gaussian pulse shape; average estimation error variance; equally spaced pulses; estimation error variance; multidimensional least-squares estimation; nonequally spaced pulses; optimal pulse shape; position estimation; rectangular pulse shape; simulation results; superimposed pulses; Biomedical measurements; Chromium; Covariance matrix; Estimation error; Magnetic resonance; Position measurement; Pulse measurements; Pulse modulation; Pulse shaping methods; Shape measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on

Conference_Location

Seattle, WA

ISSN

1520-6149

Print_ISBN

0-7803-4428-6

Type

conf

DOI

10.1109/ICASSP.1998.681637

Filename

681637