Accession Number:
ADA454953
Title:
On the Contraction Mapping Method for Frequency Detection
Descriptive Note:
Research rept.
Corporate Author:
MARYLAND UNIV COLLEGE PARK SYSTEMS RESEARCH CENTER
Personal Author(s):
Report Date:
1991-06-01
Pagination or Media Count:
32.0
Abstract:
The contraction mapping method for frequency estimation in the presence of noise, identifies the cosine of the frequency to be detected as a fixed point of a certain correlation mapping. At its heart, the method provides a plan for automatic self tuning of parametric filters. A variant of the method, called the HK algorithm, produces recursive zero-crossing rates normalized HOC sequences that converge to the frequency of interest. A statistical explanation for the contraction mapping method as epitomized by the HK algorithm is provided when the HOC sequences are produced by bandpass filters. The outright consistency of the zero-crossing rate is not required. Examples show that the method performs quite remarkably.
Descriptors:
Subject Categories:
- Statistics and Probability