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
Link To Document :
