DocumentCode :
1098765
Title :
A fast digital method of estimating the autocorrelation of a Guassian stationary process
Author :
Hertz, David
Author_Institution :
Technion-Israel Institute of Technology, Haifa, Israel
Volume :
30
Issue :
2
fYear :
1982
fDate :
4/1/1982 12:00:00 AM
Firstpage :
329
Lastpage :
329
Abstract :
Given a zero mean stationary Gaussian process {x_{n}} , it is shown that the autocorrelation can be estimated by \\hat{R}_{xx}(j) = C_{N} \\sum \\min{i=1}\\max {N} x_{i} sign(x_{i+j}) where C_{N}=frac{\\pi}{2N^{2}} \\sum \\min{i=1}\\max {N}|x_{i}| . This method is attractive since C_{N} needs to he Computed only once, and \\sum \\min{i=1}\\max {N} x_{i} sign (x_{i+j}) can be computed by additions only. Moreover, the shape of the autocorrelation given by \\hat{R}_{xx}(j)/C_{N} can be computed by additions only.
Keywords :
Adaptive filters; Adaptive signal processing; Autocorrelation; Entropy; Gaussian processes; Least squares approximation; Noise cancellation; Shape; Spectral analysis; Speech processing;
fLanguage :
English
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
0096-3518
Type :
jour
DOI :
10.1109/TASSP.1982.1163885
Filename :
1163885
Link To Document :
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