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
fDate :
1/1/1999 12:00:00 AM
Abstract :
In this correspondence, 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 numerically optimizing it with respect to pulse shape. Our results show that a significant improvement in estimation error variance can be achieved relative to Gaussian and rectangular pulse shapes
Keywords :
estimation theory; least squares approximations; optimisation; signal processing; Cramer-Rao lower bound; Gaussian pulse shapes; average estimation error variance; estimation error variance; optimal pulse shape; positions; rectangular pulse shapes; superimposed pulses; Biomedical measurements; Chromium; Estimation error; Magnetic modulators; Pulse measurements; Pulse modulation; Pulse shaping methods; Sampling methods; Shape measurement; Tagging;
Journal_Title :
Signal Processing, IEEE Transactions on
