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The interpolated fast Fourier transform (IFFT) was one of the first methods for the highly accurate estimation of sine wave parameters, and its first successful descendant was analytical leakage compensation [which is commonly called analytical solution (AS)]. The AS estimate of frequency is a whole class of solutions whose variance depends on a free parameter K. Thus, to extract the minimum variance solution from a theoretically infinite set, we have to find the optimal value K opt. This paper clarifies the mathematical background of AS and proposes two new solutions for K opt, which reduce the variance of AS estimates of low and high frequencies close to an integer. All inferences are justified by simulations, which confirm the validity of theoretical considerations.
Published in:
Instrumentation and Measurement, IEEE Transactions on
(Volume:59
,
Issue:
2
)
Date of Publication: Feb. 2010
- Page(s):
- 301 - 308
- ISSN :
- 0018-9456
- INSPEC Accession Number:
- 11054168
- Digital Object Identifier :
- 10.1109/TIM.2009.2023150
- Product Type:
- Journals & Magazines
- Date of Publication :
- 18 September 2009
- Date of Current Version :
- 08 January 2010
- Issue Date :
- Feb. 2010
- Sponsored by :
- IEEE Instrumentation and Measurement Society
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