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Details of Grant 

EPSRC Reference: GR/K99787/02
Title: ROBUST CUMULANT ESTIMATOR AND ITS APPLICATION TO NON-DESTRUCTIVE TESTING USING ULTRASONIC SIGNALS
Principal Investigator: Nandi, Professor A
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Electrical Engineering and Electronics
Organisation: University of Liverpool
Scheme: Standard Research (Pre-FEC)
Starts: 01 January 1999 Ends: 31 December 1999 Value (£): 54,118
EPSRC Research Topic Classifications:
Digital Signal Processing
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
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Panel History:  
Summary on Grant Application Form
Algorithms based on the higher order statistics are being developed for many areas of signal processing. The large variability of the estimates of higher order cumulants remains a problem. The primary objective is to develop a new cumulant estimator. For third order cumulants an adaptive generalised trimmed mean estimator that truncates a different number of samples from the left and the right depending on the asymmetry and tail length appears to be a superior estimator to the arithmetic mean. As the asymmetry and the tail length of the distribution referring to the second order and fourth order cumulants would span a larger region of the asymmetry-tail length plane compared to that of third order cumulants, further investigations are required. This will allow the choice of either obtaining reduced variance cumulant estimates from the same data or using less samples to compute similar variance cumulant estimates with advantages in stationary and nonstationary problems.
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Organisation Website: http://www.liv.ac.uk