Title :
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
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;
Conference_Titel :
Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-4428-6
DOI :
10.1109/ICASSP.1998.681637
