Why does the LEVINSON function not require the auto-correlation value R(0) in Signal Processing Toolbox 6.9 (R2008a)?
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The "Algorithm" section of the documentation for the LEVINSON function says:
levinson solves the symmetric Toeplitz system of linear equations ...
where r = [r(1) ... r(n+1)] is the input auto-correlation vector
Clearly, the zeroth lag correlation value should be a part of the calculation, but it does not appear in the input vector "r".
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MathWorks Support Team
2010-1-8
This change has been incorporated into the documentation in Release 2009b (R2009b). For previous releases, read below for any additional information:
The documentation is using MATLAB-style indexing for the input auto-correlation vector "r", as "r(1)" actually refers to the first element of the auto-correlation vector "r", which is the zeroth lag correlation value.
This is further confirmed by typing
help levinson
at the MATLAB prompt, as the following text is displayed:
Input R is typically a vector of auto-correlation coefficients with lag 0 as the first element.
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