DocumentCode
918970
Title
Minimum-bias windows for high-resolution spectral estimates
Author
Papoulis, Athanasios
Volume
19
Issue
1
fYear
1973
fDate
1/1/1973 12:00:00 AM
Firstpage
9
Lastpage
12
Abstract
The class of window pairs 
is considered such that 
for 
and 
. It is shown that in this class, the window begin{equation} w_o(t) = frac{1}{pi} biggl| sin frac{pi t}{M} biggr| + biggl( 1- frac{midt mid}{M} biggr) cos frac{pi t}{M}, qquad mid t mid leq M end{equation} yields spectral estimates with minimum bias. Furthermore, the variance of the resulting estimate is smaller than that obtained with the known windows of the same size.
is considered such that for and . It is shown that in this class, the window begin{equation} w_o(t) = frac{1}{pi} biggl| sin frac{pi t}{M} biggr| + biggl( 1- frac{midt mid}{M} biggr) cos frac{pi t}{M}, qquad mid t mid leq M end{equation} yields spectral estimates with minimum bias. Furthermore, the variance of the resulting estimate is smaller than that obtained with the known windows of the same size.Keywords
Spectral analysis; Autocorrelation; Convolution; Equations; Fast Fourier transforms; Fourier transforms; Frequency; Reactive power; Yield estimation;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1973.1054956
Filename
1054956
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